University of Montenegro

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STATICS

Course:

STATICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
252	Obavezan	1	5	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no prerequisites for applying the course
Aims	In this subject, the balance of mechanical objects is studied. The concept and types of forces are studied, the concept of moment of force is introduced. The balance of various types of supports and various types of loads is studied.
Learning outcomes	After passing the exam, students will be able to: 1. Define the problem of static equilibrium of a mechanical system 2. Analyze the problem of static balance of a mechanical system 3. Solve the equations of static balance of the mechanical system 4. Analyze the solution of static balance of a mechanical system
Lecturer / Teaching assistant	Prof. Olivera Jovanovic, PhD
Methodology	Lectures, exercises, homework, colloquiums

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Elements of algebra, trigonometry and vectors
I week exercises	Elements of algebra, trigonometry and vectors
II week lectures	Elements of algebra, trigonometry and vectors
II week exercises	Elements of algebra, trigonometry and vectors
III week lectures	Basic terms and definitions
III week exercises	Basic terms and definitions
IV week lectures	Interface system of forces (Statics of a point). 1st homework
IV week exercises	Interface system of forces (Statics of a point). 1st homework
V week lectures	Moment of force for a point. Moment of force for the axis. Varignons theorem
V week exercises	Moment of force for a point. Moment of force for the axis. Varignons theorem
VI week lectures	Coupling forces. Force reduction in a point
VI week exercises	Coupling forces. Force reduction in a point
VII week lectures	Principal vector and principal moment. Basic theorem of statics. Equilibrium conditions under the action of an arbitrary system of forces. 2nd homework
VII week exercises	Principal vector and principal moment. Basic theorem of statics. Equilibrium conditions under the action of an arbitrary system of forces. 2nd homework
VIII week lectures	Equilibrium conditions in special cases
VIII week exercises	Equilibrium conditions in special cases
IX week lectures	1st colloquium
IX week exercises	1st colloquium
X week lectures	Friction of sliding, friction of rolling, friction of rope on cylindrical surface
X week exercises	Friction of sliding, friction of rolling, friction of rope on cylindrical surface
XI week lectures	Center of gravity. Methods for center of gravity determination. 3rd homework
XI week exercises	Center of gravity. Methods for center of gravity determination. 3rd homework
XII week lectures	Carriers. Internal and external forces. Static diagrams
XII week exercises	Carriers. Internal and external forces. Static diagrams
XIII week lectures	Carriers. Examples: Gerber beam and frame
XIII week exercises	Carriers. Examples: Gerber beam and frame
XIV week lectures	Grid. 4th homework
XIV week exercises	Grid. 4th homework
XV week lectures	2nd colloquium
XV week exercises	2nd colloquium

Student workload	Weekly 5 credits x 40/30 = 6 hours and 40 minutes Structure: 2 hours of lectures, 2 hours of exercises, 2 hours and 40 minutes of independent work, including consultations During the semester Lessons and final exam: (6 hours 40 minutes) x 16 = 106 hours 40 minutes Necessary preparations before the beginning of the semester (administration, registration, certification): 2 x (6 hours 40 minutes) = 13 hours 20 minutes Total workload for the course: 5 x 30 = 150 hours Additional work: 30 hours for exam preparation in the make-up exam period, including taking the make-up exam (remaining time from the first two items to the total load for the course 180 hours) Load structure: 106 hours 40 minutes (Teaching) + 13 hours 20 minutes (Preparation) + 30 hours (Additional work)
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes regularly, do and submit assigned homework and do both colloquiums
Consultations	Wednesday and Thursday 10-11 AM
Literature	R.C. Hibbeler, Engineering Mechanics - Statics
Examination methods	4 homeworks 4 x 4 = 16 class attendance 4 2 colloquiums 2 x 30 = 60 final exam 20 The colloquiums are written and consist of calculation tasks. The final exam is oral and includes theoretical questions. A passing grade is obtained if at least 50 points are accumulated cumulatively.
Special remarks	For all information, students can contact the professor
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS I

Course:

MATHEMATICS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
253	Obavezan	1	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINE MATERIALS

Course:

MACHINE MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
255	Obavezan	2	6	3+0+2

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditionality.
Aims	On completion of this course, students should be able to based on knowledge about the structure and properties of materials made the correct choice and the practical application of engineering materials.
Learning outcomes	After passing the exam, the student will be able to: 1. Explain the basic elements of atomic, crystal and real structure of metals. 2. Understand the basics of the process of primary and secondary crystallization of metals. 3. Define the basic concepts of equilibrium phase diagrams, Gibbs phase rule and law. 4. Interprets characteristic equilibrium binary phase diagrams. 5. Knows basic characteristics and properties of the most commonly used alloys (steel, iron, aluminium, copper and nickel), polymer, ceramic and composite materials. 6. Applies methods of materials mechanical properties determination at the action of static, impact and fatigue loads. 7. Knows the work of the microscope and recognized characteristic structure of the investigated alloys. 8. Execute selection of appropriate materials for mechanical construction and parts.
Lecturer / Teaching assistant	Prof. dr Darko Bajić, Doc. dr Nebojša Tadić
Methodology	Lectures, laboratory exercises, Making of laboratory reports, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to materials. The crystal structure and the crystallization.
I week exercises	Crystallography.
II week lectures	The structure of alloys and phase diagrams.
II week exercises	Phase diagrams.
III week lectures	Phase diagram iron-carbon alloys.
III week exercises	Working with a microscope. Mechanical preparation of samples for microscopic examination.
IV week lectures	Metallic materials: ferrous alloy, carbon, alloyed and structural steels. Tool steels, cast irons.
IV week exercises	Equilibrium and non-equilibrium structure of carbon steel.
V week lectures	Aluminium, copper, nickel, titanium and their alloys.
V week exercises	Examination of the microstructure of alloyed steels and cast irons.
VI week lectures	Fundamentals of heat treatment. Phase transformation.
VI week exercises	I COLLOQUIUM
VII week lectures	The processes of heat treatment: annealing, tempering, and releasing.
VII week exercises	Non-ferrous metals and their alloys.
VIII week lectures	Thermomechanical treatment. Thermochemical treatment. I COLLOQUIUM - supplementary
VIII week exercises	Determination of steel hardenability by Jominy method.
IX week lectures	Introduction. Material selection - quantitative methods of choice. The mechanical, physical and technological properties of materials. Tensile test.
IX week exercises	Classification and types of materials testing.
X week lectures	Compression test. Hardness test. Impact test: Charpy and Izod test.
X week exercises	Tensile test.
XI week lectures	Technological testing. Bend testing, deep drawing testing (the Erichsen cup test) .
XI week exercises	Compression test.
XII week lectures	Fatigue testing. Vellers fatigue curves. Smith diagram.
XII week exercises	Hardness test.
XIII week lectures	Polymer materials. Ceramic and hard materials, glass, natural materials.
XIII week exercises	Charpy impact test.
XIV week lectures	Composite materials
XIV week exercises	II COLLOQUIUM
XV week lectures	Corrosion of metals. Wear of metal materials
XV week exercises	Evaluating reports. II COLLOQUIUM - supplementary

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attending lectures and exercises, making homework and colloquiums.
Consultations	2 times per week
Literature	R. Kontić, Ž. Blečić: Metallography - selected chapters, UNIREKS, 1993. N. Tadić, Machine Materials - Part one (Prepared lectures and exercises), 2020. V. Đorđević, M. Vukićević: Mašinski materijali- praktikum za laboratorijske vježbe, Mašinski fakultet u Beogradu, 1998. D. Bajić: Mašinski materijali (pripremljeni materijal za predavanja i vježbe), 2021. T. Filetin: Izbor materijala pri razvoju proizvoda, Fakultet strojarstva i brodogradnje, Zagreb, 2000.
Examination methods	Delivers lab reports with a total of 18 points (16 + 2 presence of exercises and lectures) Two tests: 16x2= 32 points Final exam 50 points. Passing grade gets the cumulative collect at least 50 points (each part min. 25 points).
Special remarks	Students when handing over the report laboratories actively participates in analysising of the results.
Comment	Additional information in the room 418 or darko@ucg.ac.me , nebojsa@ucg.ac.me

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / KINEMATICS

Course:

KINEMATICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
256	Obavezan	2	6	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No prerequisites required
Aims	In this course geometry of motion of mechanical objects is studied. Various kinematic characteristics are defined and studied.
Learning outcomes	In this course students learn the basic concepts and principles of kinematics. They study the movement of mechanical objects starting from the simple, such as a point, a rigid body, simple mechanisms. After completing the course and performing all the planned activities: regular attendance, active participation in class, independently done and defended homework, colloquiums and after passing the final exam, they should be able, at solving specific problems, to deal with the synthesis and analysis of mechanisms. In that way they would be prepared to identify, formulate and solve engineering problems
Lecturer / Teaching assistant	Prof. Ranislav Bulatovic, PhD
Methodology	Lectures, practice, homeworks, partial exams.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction, position, velocity of a particle, repetition of mathematics concepts
I week exercises	Introduction, position, velocity of a particle, repetition of mathematics concepts
II week lectures	Particle acceleration
II week exercises	Particle acceleration
III week lectures	Special cases of a particle motion - rectilinear motion
III week exercises	Special cases of a particle motion - rectilinear motion
IV week lectures	Special cases of a particle motion - circular motion
IV week exercises	Special cases of a particle motion - circular motion
V week lectures	Translatory motion. Rotation of rigid body around stationary axis
V week exercises	Translatory motion. Rotation of rigid body around stationary axis
VI week lectures	I exam
VI week exercises	I exam
VII week lectures	Planar motion: velocities of points, pole of velocity
VII week exercises	Planar motion: velocities of points, pole of velocity
VIII week lectures	Planar motion: accelerations of points, pole of acceleration
VIII week exercises	Planar motion: accelerations of points, pole of acceleration
IX week lectures	Planar motion: Examples of simple mechanisms
IX week exercises	Planar motion: Examples of simple mechanisms
X week lectures	Planar motion: Examples of simple mechanisms
X week exercises	Planar motion: Examples of simple mechanisms
XI week lectures	Rotation of rigid body around stationary point
XI week exercises	Rotation of rigid body around stationary point
XII week lectures	Relative motion of a particle
XII week exercises	Relative motion of a particle
XIII week lectures	Relative motion of a particle
XIII week exercises	Relative motion of a particle
XIV week lectures	Relative motion of rigid body
XIV week exercises	Relative motion of rigid body
XV week lectures	II exam
XV week exercises	II exam

Student workload	Weekly Lectures: 2 hours of lectures Practice: 1 hour of calculus practice Other lecturing activities: Individual student work: 2 hours individual work and consults Structure 3.75 ECTS x 40/30 =5 hours During semester: Lectures and final exam: 5hours x 16 weeks = 80 hours Necessary prapration (administration, enrollment, validation): 2 x 5 hours = 10 hours Total hours for the course : 3.75 x 30 = 112.5 hours Additional work: 112.5 - (80+10) = 22.5 hours Load structure: 80 hours (lecture)+10 hours (preparation) + 22.5 hours (additional work)
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are obliged to attend classes ordinarily, to work on and submit homeworks and work all three exams.
Consultations	Tuesday and Thursday from 9h to 11h
Literature	R.C. Hibbeler, Engineering Mechanics - Dynamics
Examination methods	4 home works: 4x4=16 ; attending classes: 4; 2 remedial exams: 2x30=60; final exam: 20}=100 Remedial exams are written and contain calculus tasks. Final exam is oral and contains theoretical questions.
Special remarks	Students are on every class given a certain number of problems to work on at home as practice, and on next practice class to work on it at the blackboard. Besides this, they have 4 "big" homeworks which should be defended.
Comment	Extra informations about subject - for all informations students can refer to professor

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STRENGTH OF MATERIALS I

Course:

STRENGTH OF MATERIALS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
257	Obavezan	2	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	None.
Aims	Through this course students will get to know basic principles and laws of Strength od materials and their application
Learning outcomes
Lecturer / Teaching assistant	doc. dr Stefan Ćulafić
Methodology	Lectures, calculation exercises, homework assignments, consultations, tests.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Geometric characteristics of plain surfaces
I week exercises	Geometric characteristics of plain surfaces
II week lectures	Notion of inertia moments - Steiner theorem;
II week exercises	Notion of inertia moments - Steiner theorem;
III week lectures	Moments of inertia of complex plain surface.1.Colloquium;
III week exercises	Moments of inertia of complex plain surface.1.Colloquium;
IV week lectures	Normal and tangential stresses;
IV week exercises	Normal and tangential stresses;
V week lectures	Linear and angular strains;
V week exercises	Linear and angular strains;
VI week lectures	Relations between stresses and strains; 2.Colloquium;
VI week exercises	Relations between stresses and strains; 2.Colloquium;
VII week lectures	Normal stresses and deformations at beams submitted to axial force loads;
VII week exercises	Normal stresses and deformations at beams submitted to axial force loads;
VIII week lectures	Beams submitted to moments. Stresses and strains.
VIII week exercises	Beams submitted to moments. Stresses and strains.
IX week lectures	Combined loading of axial force loading and moments bending loads. 3.Colloquium;
IX week exercises	Combined loading of axial force loading and moments bending loads. 3.Colloquium;
X week lectures	Beam submitted to transverzal forces. Stresses and strains;
X week exercises	Beam submitted to transverzal forces. Stresses and strains;
XI week lectures	Bends and slopes in bending forces;4. Colloquium;
XI week exercises	Bends and slopes in bending forces;4. Colloquium;
XII week lectures	Beams submitted to loading of moments around axial axes. Tangential stress and twisting angle.
XII week exercises	Beams submitted to loading of moments around axial axes. Tangential stress and twisting angle.
XIII week lectures	Bending with twisting;
XIII week exercises	Bending with twisting;
XIV week lectures	Bending with twisting;
XIV week exercises	Bending with twisting;
XV week lectures	Bending with twisting;
XV week exercises	5. Colloquium;

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods	5 tests 20 points, total 100 points Positive mark requires not less than 50 points cumulatively.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STRENGTH OF MATERIALS II

Course:

STRENGTH OF MATERIALS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
259	Obavezan	3	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / DYNAMICS

Course:

DYNAMICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
260	Obavezan	3	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Statics, Kinematics
Aims	Introduction to the basic concepts and laws of dynamics and their application.
Learning outcomes	Once the student has completed the exam he/she will be able to: - Apply basic equation of particle dynamics and accordingly solves direct and inverse problem; - Analyzes free and harmonically excited, with and without damping, straight linear oscillations of a particle; - Apply the laws of momentum, angular momentum and kinetic energy of particle, systems of particles and rigid bodies, as well as the corresponding conservation laws; - Apply D’Alambert principle on the particle, a system of particles and rigid body; - Analyzes the motion of particles and rigid bodies in an impact; - Apply Lagrange equations onto simple mechanical systems.
Lecturer / Teaching assistant	Prof. Dr. Ranislav Bulatović
Methodology	Lectures, exercises, homework, tests, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Newton's Laws of Motion. Differential Equations of Motion of a Particle.
I week exercises	Direct and Inverse Dynamics Problem of a Particle.
II week lectures	Principles of Dynamics of a Particle.
II week exercises	Principles of Dynamics of a Particle.
III week lectures	Constrained Motion.
III week exercises	Constrained Motion.
IV week lectures	Dynamics of Relative Motion of a Particle.
IV week exercises	Dynamics of Relative Motion of a Particle.
V week lectures	Free Undamped and Damped Vibrations of a Particle.
V week exercises	Free Undamped and Damped Vibrations of a Particle.
VI week lectures	Forced Undamped and Damped Vibrations of a Particle.
VI week exercises	Forced Undamped and Damped Vibrations of a Particle.
VII week lectures	Center of Mass of a System of Particles. Mass Moments of Inertia.
VII week exercises	Center of Mass of a System of Particles. Mass Moments of Inertia.1st Test.
VIII week lectures	Principle of Linear Impulse of a System of Particles.
VIII week exercises	Mass Moments of Inertia.Principle of Linear Impulse of a System of Particles.
IX week lectures	Principle of Momentum of a System of Particles
IX week exercises	Principle of Momentum of a System of Particles
X week lectures	Rigid Body Dynamics.
X week exercises	Rigid Body Dynamics.
XI week lectures	Rigid Body Dynamics.
XI week exercises	Rigid Body Dynamics.
XII week lectures	D'Alembert's Principle.Dynamic Reactions.
XII week exercises	D'Alembert's Principle.Dynamic Reactions.
XIII week lectures	Principle of Work and Energy for a System of Particles.
XIII week exercises	Principle of Work and Energy for a System of Particles.
XIV week lectures	Theory of Impact.
XIV week exercises	Impact.
XV week lectures	Generalized Coordinates. Lagrange's Equations.
XV week exercises	Lagrange's Equations.2nd Test

Student workload	Weekly: 6.75 ECTS x 40/30 = 9 hours. Structure: 3 hours lectures, 3 hours exercises, 3 hours self learning. During semestar: Lectures and final exam: 9 hours x 16 weeks = 144 hours; necessary preparations: 9 hours x 2 weeks = 18 hours; Total hours for the course 6.75x30=202.5; Additional work 202.5-(144+18)=40.5; Load structure: 144 hours (schooling)+18 hours (preparation)+40.5 hours (additional work)
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises, do their homeworks and tests.
Consultations	2 times per week
Literature	Written lectures.;L. Vujšević, M. Mićunović, R. Bulatović, Dinamika I, Univerzitetska riječ, 1990; Z. Mitrović, Z. Golubović, M. Simonović, Dinamika tačke, Mašinski fakultet, Beograd, 2011.; M. Pavišić, Z. Golubović, Z. Mitrović, Dinamika sistema, Mašinsk
Examination methods	Homeworks 20% Tests 2x20%=40% Final exam 40% Grading Scale: 100%-90% A; 90%-80% B;80%-70% C;70%-60% D;60%-50% E;50%-0% F
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS II

Course:

MATHEMATICS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
261	Obavezan	2	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PHYSICS

Course:

PHYSICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
265	Obavezan	1	5	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / THERMODYNAMICS

Course:

THERMODYNAMICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
267	Obavezan	4	6	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no conditions for applying and listening the course
Aims	In this course, students are trained to understand thermodynamic processes
Learning outcomes	After the student passes this exam, they should be able to: 1. Understands and explain basic thermodynamic terms and values; 2. Properly interprets and understands heat as a form of energy and energy balance; 3. Properly interprets and understands the law of energy conservation for the thermodynamic system; 4. Properly understands and interprets the law (II Law of Thermodynamics); 5. Understands and interprets the difference between nonequilibrium and equilibrium processes; 6. Understands the essence of thermodynamic power cycles and the concept of thermodynamic efficiency; 7. Able to describe and understand the transformation of heat into work and vice versa; 8. Understands and describes the refrigeration thermodynamic cycles; 9. Understands the concept of ideal gases and the difference between real gases and mixtures; 10. Able to describe heat transfer mechanisms;
Lecturer / Teaching assistant	Igor Vušanović, Esad Tombarević
Methodology	2 class hours of lectures 2 school hours of calculus exercises 5 hours of independent work and consultation

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Measurements Units, thermodynamics methods, basic concepts, types of systems, non-equilibrium, quasi-static and non-quasi-static processes.
I week exercises
II week lectures	Amount of mass. Properties of state and their explanation in the light of MKT gases. Volume and mass flow rate.
II week exercises
III week lectures	Energy. Work. Absolute volume work. Heat. The first law of thermodynamics for a closed and stationary system.
III week exercises
IV week lectures	Ideal gas. Ideal gas equation of state. Enthalpy. Specific heat. Real gases.
IV week exercises
V week lectures	The first law of thermodynamics for an open system. Application examples.
V week exercises
VI week lectures	The concept of enthropy. The second law of thermodynamics. TER, MER. T-s diagram and heat. Examples of irreversibility with TER and MER.
VI week exercises
VII week lectures	Characteristic changes of state. Polytropic processes. Quasi-static and non-quasi-static changes of state.
VII week exercises
VIII week lectures	Maximum work. Specific heat in polytropic changes. Maximal work in open system operation.
VIII week exercises
IX week lectures	Power cycle processes. Basic concept of extracting of work. Power Right and refrigerant-left hand cycles. Carnot 's ideal cycle.
IX week exercises
X week lectures	Power cycles with ideal gas. Otto, Diesel, the Joul cycle.
X week exercises
XI week lectures	Power cycles with steam processes. Rankin Clausius' cycle. Combined cycles. Cogeneration. Improvement measures.
XI week exercises
XII week lectures	Refrigeration left steam processes cycles. Measures to improve the degree of cooling. Absorption cycles. Real steam cycles.
XII week exercises
XIII week lectures	Mixture of gases. Dalton's Law. Humid air.
XIII week exercises
XIV week lectures	The basics of heat transfer. Conduction. Convection. Radiation.
XIV week exercises
XV week lectures
XV week exercises

Student workload	6 credits x 40/30 = 8 hours Structure: 2 class hours of lectures 2 school hours of calculus exercises 5 hours of independent work and consultation
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	2 theoretical colloquiums 2x20 = 40 Seminar sheets 4x2.5 = 10 Final Exam 50 100 A passing grade is obtained if a minimum of 50 points is collected.
Consultations
Literature	[1] M. J. Moran, H. N. Shapiro, D. D. Boettner, M. B. Bailey: Fundamentals of Engineering Thermodynamics, Eighth Edition, Wiley [2] Y. Chengel, M. A. Boles : Thermodynamics an engineering approach, Fourth, Fifth or later edition, McGraw Hill
Examination methods
Special remarks
Comment	Teaching and final exam: 8 hours x 16 weeks = 128 hours Necessary preparations: 2 x 8 hours = 16 hours Total load for the item: 6 x 30 = 180 hours Extra work: 36 hours Load structure: 128 hours (teaching) +16 hours (preparation) +36 hours (additional work)

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / FLUID MECHANICS

Course:

FLUID MECHANICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
268	Obavezan	5	6	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims	Introduction to the basic elements of fluid mechanics, with the processes of fluid and gas flow.
Learning outcomes
Lecturer / Teaching assistant	Prof. dr Uroš Karadžić, Mr Vidosava Vilotijević.
Methodology	Lectures, exercises, homework, colloquiums.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction, definition of fluid, basic laws and methods of analysis.
I week exercises	An incompressible fluid at rest in the earth's gravitational field
II week lectures	Physical properties of fluids: density, pressure, temperature, compressibility, viscosity, etc.
II week exercises	Fluid in a state of absolute and relative rest
III week lectures	Fluid in a state of absolute and relative rest.
III week exercises	Fluid in a state of absolute and relative rest- rotational motion
IV week lectures	Pressure on flat and curved surfaces, buoyancy and flotation.
IV week exercises	Pressure on flat surface.
V week lectures	Stream field, Reynolds transport theorem.
V week exercises	Pressure on curved surface.
VI week lectures	Divergence and rotor velocity, deformation velocity.
VI week exercises	Buoyancy and flotation.
VII week lectures	Flow, stream function, potential and eddy flow.
VII week exercises	Flow, stream function, potential and eddy flow.
VIII week lectures	Integral form of dynamic equations of motion.
VIII week exercises	Application of the continuity equation in integral form
IX week lectures	Load of stream lines, action of jets on solid barriers.
IX week exercises	Flow, stream function, potential and eddy flow.
X week lectures	Euler, Bernoulli and Cauchy-Langrage equations.
X week exercises	I colloquium
XI week lectures	Navije- Stokes equations.
XI week exercises	Load of stream lines, action of jets on solid barriers.
XII week lectures	Flow between parallel plates, through pipes and coaxial rollers. Reynolds equations.
XII week exercises
XIII week lectures	Energy equation, flow through pump and turbine.
XIII week exercises	Bernoulli and energy equation.
XIV week lectures	Dimensional analysis.
XIV week exercises	Dimensional analysis and similarity theory
XV week lectures	Similarity theory.
XV week exercises	II colloquium

Student workload	weekly 6 ECTS x 40/30 = 8 hours Structure: 1 hour and 30 minutes lectures 1 hour and 30 minutes exercises 5 hours self learning During semester Lectures and final exam:(8 hours) x 16 weeks = 128 hours Necessary preparations before semester beginning: (administration, enrollment, validation) 2x8 hours=16 hours Total hours of the course: 6x30=180 hours Additional work: preparation for remedial exam and remedial exam 36 hours Load structure: 128 hours (Schooling)+16 hours (preparation)+36 hours (additional work)
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature	1. P. Vukoslavčević, U. Karadžić: Mehanika fluida, 2. V. Saljinkov: Statika i kinematika fluida, 3. S. Čantrak, P.Marjanović: Mehanika fluida- teorija i praksa.
Examination methods	- Colloquiums 2x35 points - Final exam 30points Grading Scale: 100% - 90% A; 90% - 80% B; 80% - 70% C; 70% - 60% D; 60% - 51% E; 50% - 0% F
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING MEASUREMENTS

Course:

ENGINEERING MEASUREMENTS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
276	Obavezan	4	6	2++2

Programs	MECHANICAL ENGINEERING
Prerequisites	No
Aims	Methods and techniques of engineering measurements
Learning outcomes	1. Measurement plan setting; 2. Selection of the appropriate configuration of the measuring system; 3. Sensor technologies - measurement of mass, force, torque, stress, pressure, temperature; 4. Presentation of measurement data, measurement uncertainty
Lecturer / Teaching assistant	Vladimir Pajkovic
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	General principles of measurement system.
I week exercises
II week lectures	Measurement plan setting. Electric measurement systems.
II week exercises
III week lectures	Structure of measurement systems. Static characteristics of measurement systems. Identification of static characteristics – calibration.
III week exercises
IV week lectures	Dynamic characteristics of measurement systems. Measurement uncertainty.
IV week exercises
V week lectures	Measurement system elements. Sensing elements.
V week exercises
VI week lectures	Resistive sensors. Strain gauges. Deflection bridge.
VI week exercises	Laboratory no. 1
VII week lectures	Special strain gauges. Measuring converters.
VII week exercises	Laboratory no. 2
VIII week lectures	Inductive and capacitive sensors.
VIII week exercises	Laboratory no. 3
IX week lectures	Piezoelectric and thermoelectric sensors.
IX week exercises	Laboratory no. 4
X week lectures	Complex measurement systems. A/D converters.
X week exercises	Laboratory no. 5
XI week lectures	Force and strain sensors.
XI week exercises
XII week lectures	Position, displacement and level sensors.
XII week exercises
XIII week lectures	Pressure and temperature sensors.
XIII week exercises
XIV week lectures	Complex mechatronic systems, control.
XIV week exercises
XV week lectures	Laboratory exercises reports.
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations	Cabinet 426
Literature	[1] Fraden, J.: Handbook of modern sensors, III ed., Springer-Verlag, Inc., 2004. [2] Bentley, J.P.: Principles of measurement systems, Pearson, Prentice Hall, 2005. [3] Morris, A.S., Langari, R.: Measurement and Instrumentation – Theory and Application, Elsevier, 2012.
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROCESSING BY CUTTING

Course:

PROCESSING BY CUTTING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
279	Obavezan	6	5	3+1+1

Programs	MECHANICAL ENGINEERING
Prerequisites	Passed exam Technology of machining (IV semester).
Aims	Acquisition of theoretical and practical knowledge about the metal cutting process.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Apply fundamental knowledge in the field of production technologies. 2. Define and describe cutting processes. 3. Design the technological process of manufacturing the workpiece. 4. Produce the workpiece.
Lecturer / Teaching assistant	Asst. Prof. Nikola Šibalić, PhD; Marko Mumović, MSc
Methodology	Lectures, classroom and laboratory exercises, project work, consultations, colloquiums.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Application of cutting processing.
I week exercises	Visit to the laboratory. Showing of laboratory equipment.
II week lectures	Systems and processes in production engineering.
II week exercises	Structure of production systems. Basic characteristics.
III week lectures	Cutting tools. Basic elements of the cutting process.
III week exercises	Tool geometry. Mechanics of orthogonal cutting.
IV week lectures	Chip formation process, sorts, types and influencing factors.
IV week exercises	Laboratory exercise 1. Determination of Merchants constant.
V week lectures	Tool wear and durability. The quality of the processed surface.
V week exercises	Taylors stability equation. Methods of determining the roughness, waviness and physical-mechanical properties of the surface layer.
VI week lectures	Colloquium I.
VI week exercises	Colloquium I.
VII week lectures	Remedial colloquium I. Machining on a lathe, determination of cutting mode, types of lathes.
VII week exercises	Laboratory exercise 2. Measurement of cutting resistance during machining by turning.
VIII week lectures	Processing on a milling machine, determining the cutting parameters, types of milling machines.
VIII week exercises	Measurement of circumferential force during processing on a milling machine.
IX week lectures	Machining on a drill, determination of cutting parameters, types of drills.
IX week exercises	Laboratory exercise 3. Measurement of cutting resistance during drilling.
X week lectures	Colloquium II.
X week exercises	Colloquium II.
XI week lectures	Remedial colloquium II. Machining on the grinder, determining the cutting parameters, types of grinders.
XI week exercises	Project work. Dimensioning of the workpiece and preparation, choice of production technology.
XII week lectures	Processing on a planer, determining the cutting mode, types of planers. Manufacturing of gears and coils.
XII week exercises	Project work. Determination of cutting modes, tools and machines.
XIII week lectures	Visit of students to the production system (plant).
XIII week exercises	Visit of students to the production system (plant).
XIV week lectures	Thermodynamics of cutting, temperature measurement. Means for cooling and lubrication.
XIV week exercises	Laboratory exercise 4. Methods of measuring cutting temperature.
XV week lectures	Modern tool materials. Unconventional processing procedures (laser beam and water jet processing).
XV week exercises	Receiving reports of laboratory exercises and project works.

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures and laboratory exercises. Project work done. Colloquiums passed.
Consultations
Literature	[1] Predavanja u elektronskom obliku. [2] Vukčević M., Šibalić N.:Tehnologija mašinske obrade, Univerzitet Crne Gore, Mašinski fakultet Podgorica, 2017. [3] Kalajdžić M., Tanović LJ., ... : Tehnologija obrade rezanjem, Priručnik, VII izdanje, Mašinski fakultet Beograd, 2012. [4] Ivković B.: Teorija rezanja. Samostalno autorsko izdanje, Kragujevac, 1991.
Examination methods	Attendance 2 points. Project work 12 points. Four laboratory exercises of 4 points each, a total of 16 points. Colloquium I 15 points. Colloquium II 15 points. Final exam 40 points, written/oral.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / TOOLS AND ACCESSORIES

Course:

TOOLS AND ACCESSORIES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
282	Obavezan	6	4	2+1+1

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no requirements for registering and listening to the subject.
Aims	Through this course, students acquire the theoretical and practical basics of current tools and accessories.
Learning outcomes	After the student passes this exam, he will be able to: 1. Divide tools and accessories and determine the rules for their construction. 2. Explain the process of making tools for metal processing by plastic deformation, metal processing by cutting, metal processing under pressure and plastic mass processing by pressing. 3. Perform the calculation of the dimensions of the working elements of the tool, the calculation of the labor force for a specific tool and the calculation of the geometry of the tool and accessories. 4. Determine the appropriate materials for working and structural elements of tools and accessories. 5. Select accessories for a specific tool and provide instructions for constructing and using accessories.
Lecturer / Teaching assistant	Asst. Prof. Nikola Šibalić, PhD; Marko Mumović, MSc
Methodology	Lectures, calculation exercises, laboratory exercises, homework and consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Generally about tools and accessories.
I week exercises	Distribution of tools and accessories. Rules for construction.
II week lectures	Tools for processing metal by plastic deformation. Tools for cutting and punching sheets.
II week exercises	Calculation of the force and clearance of the working elements of the tool.
III week lectures	Tools for processing metal by plastic deformation. Dies, cutters, punches, guides and bushings for guiding tools.
III week exercises	Dimensioning of the matrix, projecting and punching. Tool project.
IV week lectures	Tools for processing metal by plastic deformation. Materials for tools.
IV week exercises	Laboratory exercise. Tool project.
V week lectures	Colloquium 1.
V week exercises	Colloquium 1.
VI week lectures	Blacksmiths tools. Slopes and radii of engraving, so-called. cold and hot dimensions.
VI week exercises	Dimensioning of blacksmith tools. Calculation of cold and hot dimensions.
VII week lectures	Blacksmith tools - material and service life.
VII week exercises	Examples of calculation of working elements of forging tools. Tool project.
VIII week lectures	Metal cutting tools. Lathe cutting tool.
VIII week exercises	Tool geometry.
IX week lectures	Metal cutting tools. Threaders, types and cutting scheme.
IX week exercises	Laboratory exercise.
X week lectures	Colloquium 2.
X week exercises	Colloquium 2.
XI week lectures	Die casting tools. Constructive elements.
XI week exercises	Calculation of the dimensions of the tool mold.
XII week lectures	Tools for pressing plastic masses. Types and characteristics of plastics.
XII week exercises	Laboratory exercise - visit to production plants.
XIII week lectures	Constructive elements of tools for ordinary and indirect pressing of plastic masses.
XIII week exercises	Examples of tools for pressing plastic masses.
XIV week lectures	Constructive elements of injection molding tools.
XIV week exercises	Laboratory exercise - visit to production facilities.
XV week lectures	Auxiliary accessories. Advantages of application. Instructions for constructing accessories.
XV week exercises	Examples of dimensioning of auxiliary accessories. Pneumo-hydraulic clamping.

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, do a project and pass colloquiums.
Consultations	Consultations are held after lectures and exercises.
Literature	B. Musafija: Obrada metala plastičim deformisanjem, Sarajevo, 1988.; F. Rajec: Rezni alati, Zagreb, 1995.; V. Šolaja: Alati za obradu lima, Mašinski fakultet, Beograd, 1998.
Examination methods	Colloquium I 20 points. Colloquium II 20 points. Homework (Project work) 25 points. Final exam 35 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ELECTRICAL ENGINEERING

Course:

ELECTRICAL ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
917	Obavezan	3	5	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes	After passing the exam in this subject, the student will be able to: 1. Define the concept of electrostatic field and the basic quantities that describe it. 2. Define the concept of a linear electrical circuit and the basic laws that describe it (Ohms law, Joules law, Kirchhoffs laws) and solve a direct current circuit. 3. Describe phenomena in the magnetic field and their applications. 4. Describe the behavior of resistors, inductors, and capacitors in an alternating current circuit. 5. Explain the operating principle and basic characteristics of transformers, asynchronous machines, and direct current machines. 6. Explain the operation of basic electronic circuits. 7. Solve standardized problems and analyze the obtained solutions.
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Electrostatic field and the basic quantities that describe it. Coulombs law. Conductors in electric field. Gausss law. Electrostatic induction.
I week exercises	Electrostatic field and the basic quantities that describe it. Coulombs law. Conductors in electric field. Gausss law. Electrostatic induction.
II week lectures	Electric capacitance and capacitors. Dielectric in electric field. Electrostatic energy.
II week exercises	Electric capacitance and capacitors. Dielectric in electric field. Electrostatic energy.
III week lectures	Constant direct current. Electromotive force. Resistors. Ohms law. Joules law.
III week exercises	Constant direct current. Electromotive force. Resistors. Ohms law. Joules law.
IV week lectures	Kirchhoffs law. Electric circuits. Methods of circuit analysis.
IV week exercises	Kirchhoffs law. Electric circuits. Methods of circuit analysis.
V week lectures	Concept of stationary magnetic field. Vector of magnetic flux density. Biot-Savart law. The theorem on the conservation of magnetic flux. Amperes law. Ferromagnetic materials. Generalized Amperes law. Magnetic circuits.
V week exercises	Vector of magnetic flux density. Biot-Savart law. The theorem on the conservation of magnetic flux. Amperes law. Ferromagnetic materials. Generalized Amperes law. Magnetic circuits.
VI week lectures	Faradays law of electromagnetic industion. Self and mutual induction coefficients. Principles of electromechanical energy conversion.
VI week exercises	Faradays law of electromagnetic industion. Self and mutual induction coefficients. Principles of electromechanical energy conversion.
VII week lectures	Mid-term exam
VII week exercises	Mid-term exam
VIII week lectures	Basic concept of simple periodic quantities. RMS value. Alternating current phasor representation. Resistor, capacitor and inductor in AC circuits.
VIII week exercises	RMS value. Alternating current phasor representation. Resistor, capacitor and inductor in AC circuits.
IX week lectures	Simple and complex electrical circuits. General equations. Circuit solution by means of phasor diagram. Introduction to complex analysis of AC circuits - solving an AC circuit using complex effective representatives.
IX week exercises	Simple and complex electrical circuits. General equations. Circuit solution by means of phasor diagram. Introduction to complex analysis of AC circuits - solving an AC circuit using complex effective representatives.
X week lectures	Electric power generation and transmission system. Symmetrical three-phase circuits.
X week exercises	Electric power generation and transmission system. Symmetrical three-phase circuits.
XI week lectures	Electrical machines and transformers. Basic construction, principles of operation and applications.
XI week exercises	Electrical machines and transformers. Basic construction, principles of operation and applications.
XII week lectures	Rotating magnetic field. Asynchronous machines.
XII week exercises	Rotating magnetic field. Asynchronous machines.
XIII week lectures	Durect-current machines.
XIII week exercises	Durect-current machines.
XIV week lectures	Electronics. Semiconductors. Diodes. Transistors. Rectifiers. Amplifiers. Inverters. Converters. Logic circuits.
XIV week exercises	Electronics. Semiconductors. Diodes. Transistors. Rectifiers. Amplifiers. Inverters. Converters. Logic circuits.
XV week lectures	Electrical measuring instruments. Measurment of current, voltage, resistance and power.
XV week exercises	Electrical measuring instruments. Measurment of current, voltage, resistance and power.

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MECHANISMS AND DYNAMICS OF MACHINES

Course:

MECHANISMS AND DYNAMICS OF MACHINES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
922	Obavezan	5	5	2++2

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no conditions for registering and listening to the subject
Aims	Through this course, students get acquainted with the basic concepts and laws of Theory Mechanisms and Machines
Learning outcomes	After passing this exam student will be able to perform: 1. Structural analysis of plane linkage mechanisms 2. Kinematic analysis of plane linkage mechanisms 3. Kinematic analysis of cam mechanisms 4. Kinematic analysis gear mechanisms 5. Force analysis of plane linkage mechanisms 6. Force analysis of plane cam mechanisms Consider: 7. Inverse problem of dynamics, problem of balance and problem of regulating angular velocity of mechanical aggregate.
Lecturer / Teaching assistant
Methodology	Lectures and exercises in a computer room / laboratory. Learning and independent preparation of practical tasks. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to the theory of mechanisms
I week exercises	Introduction to the theory of mechanisms
II week lectures	Structural analysis of mechanisms.
II week exercises	Structural analysis of mechanisms.
III week lectures	Kinematic analysis of the lever mechanisms. Drive piston group. Groups of Assur
III week exercises	Kinematic analysis of the lever mechanisms. Drive piston group. Groups of Assur
IV week lectures	Analytical kinematics of diads.
IV week exercises	Analytical kinematics of diads.
V week lectures	Domain of definition of mechanisms. Solving Contour Equations.
V week exercises	Domain of definition of mechanisms. Solving Contour Equations.
VI week lectures	Analytical kinematics of some simple mechanisms
VI week exercises	Analytical kinematics of some simple mechanisms
VII week lectures	I colloquium.
VII week exercises	I colloquium.
VIII week lectures	Numerical methods of kinematic analysis of the lever mechanisms.
VIII week exercises	Numerical methods of kinematic analysis of the lever mechanisms.
IX week lectures	Force analysis in lever mechanisms
IX week exercises	Force analysis in lever mechanisms
X week lectures	Force analysis in lever mechanisms. Determination of driving force
X week exercises	Force analysis in lever mechanisms. Determination of driving force
XI week lectures	Kinematic analysis of camshaft mechanisms
XI week exercises	Kinematic analysis of camshaft mechanisms
XII week lectures	Kinematic analysis of the toothed mechanisms.
XII week exercises	Kinematic analysis of the toothed mechanisms.
XIII week lectures	Dynamics of mechanisms: an inverse problem
XIII week exercises	Dynamics of mechanisms: an inverse problem
XIV week lectures	Dynamics of mechanisms: balancing the rotor. Regulating the speed of the machine unit
XIV week exercises	Dynamics of mechanisms: balancing the rotor. Regulating the speed of the machine unit
XV week lectures	II colloquium. Final exam.
XV week exercises	II colloquium. Final exam.

Student workload	Weekly: 5 credits x 40/30 = 6 hours and 40 minutes Structure: 2 hours of lectures 2 hours of exercises 2 hours and 40 minutes of independent work, including consultations During the semester: Teaching and final exam: (6 hours 40 minutes) x 16 = 106 hours 40 minutes Necessary preparations before the start of the semester (administration, enrollment, certification): 2 x (6 hours 40 minutes) = 13 hours 20 minutes Total load for the subject: 5x30 = 150 hours Supplementary work: 30 hours for the preparation of the exam within the corrective test period, including the taking of a correctional exam (the remaining time from the first two items up to the total load for the subject 180 hours) Structure of the load: 106 hours 40 minutes (Teaching) +13 hours 20 minutes (Preparation) +30 hours (Supplementary work)
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are obliged to attend classes and exercises, to do a graphic task and pass both colloquiums
Consultations	2 time a week.
Literature	[1] R. Martinović, Mehanizmi i dinamika mašina, Mašinski fakultet u Podgorici, 1984. [2] M. Husjak, Teorija mehanizam, Fakultet strojarstva i brodogradnje Zagreb, 2009 [3] T. Pantelić, G. Ćulafić, Mehanizmi - Sinteza Mehanizama, Mašinski fakultet u Beogr
Examination methods	Laboratory exercises are scored with a total of 40 points, Two colloquiums of 10 points (total of 20 points), Final exam 40 points. A transition score is obtained if the cumulative amount of 50 points is collected
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING GRAPHICS

Course:

ENGINEERING GRAPHICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1600	Obavezan	1	5	3+0+2

Programs	MECHANICAL ENGINEERING
Prerequisites	No prerequisites for course enrolment and attending
Aims	On the completion of this course, students would be able to draw engineering drawings by hand or by CAD software
Learning outcomes	Upon successful completion of this subject the student will be able to: 1. Draw enginering drawings of machine parts and assemblies. 2. Explain application of software and hardware of CAD systems in different design phases 3. Use some of CAD software (AutoCAD, Inventor, SolidWorks, Catia...) for preparation of engineering drawings of machine parts and assemblies.
Lecturer / Teaching assistant	Prof.dr Janko Jovanović, Mirjana Šoškić
Methodology	Lectures, exercises, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Chronology of development of engineering communications.
I week exercises	AutoCAD: GUI. Graphical entities (line, circle, rectangle). Selection modes. Coordinate systems. Orthomode. Polar tracking mode. Object snap mode. Zoom tools.
II week lectures	Material and equipment for engineering drawing. Types of engineering drawings. Formats. Scales.
II week exercises	AutoCAD: Coordinate systems – Snap from mode. Object snap tracking mode. Graphical entities (circle, circular arc, elipse, eliptical arc, polygon). Modify toolbar (copy, offset, mirror, rotation, move, trim)
III week lectures	Types of lines. Engineering letters. Title blocks. Part list. Engineering drawing numbering.
III week exercises	AutoCAD: Modify toolbar (extend, circular array, rectangular array, fillet, chamfer, scale)
IV week lectures	Types of projection (central and perspective). Orthogonal projection. Difference between european and americen projection.
IV week exercises	AutoCAD: Graphical entity (polyline, text). Modify toolbar (break, join, polyline edit).
V week lectures	Machine parts and assemblies on engineering drawings. Drawing planning. Sections.
V week exercises	AutoCAD: Lines – types and widths Graphical entities (hatch). 1st homework.
VI week lectures	Sections. Simplifications in engieering drawings.
VI week exercises	AutoCAD: 1st homework.
VII week lectures	1st test
VII week exercises	1st test
VIII week lectures	Pictorial projection. Axonometric projection (isometric and dimetric projection).
VIII week exercises	AutoCAD: 2nd homework
IX week lectures	Dimensioning.
IX week exercises	AutoCAD: Layers. Paper space. Template with title block. 3rd homework.
X week lectures	Dimensioning.
X week exercises	AutoCAD: Connecting model and paper space. 3rd homework.
XI week lectures	2nd test
XI week exercises	AutoCAD: Graphical entity (dimensions). 4th homework.
XII week lectures	Standardization. Tolerances of linear sizes. Types of fits. Tolerances of form, profile, orientation, location and runout. Tolerances of surface finish.
XII week exercises	AutoCAD: 4th homework.
XIII week lectures	Measuring and sketching machine parts.
XIII week exercises	AutoCAD: Graphical entity (block, attributes). Printing / ploting. 5th homework.
XIV week lectures	3rd test
XIV week exercises	3rd test
XV week lectures	Additional tests
XV week exercises	Additional tests

Student workload	Peer week 5 credits x 40/30 = 6 hours and 40 minutes Structure: Lectures: 3 hours of lectures Exercises: 2 hour of exercises Individual work including consultation: 1 hour and 40 minutes Per semester Classes and final exam: 6 hours + 40 minutes x 16 weeks = 106 hours + 40 minutes Necessary preparations before the semester start (administration, enrolment, verification): 6 hours + 540 minutes x 2 weeks = 13 hours + 20 minutes Total load for the subject: 5 x 30 = 150 hours Remedial classes for the corrective term, including the corrective exam: 150 hours – (106 hours + 40 minutes + 13 hours + 20 minutes) = 30 hours Load structure: 106 hours + 40 minutes (Classes) + 13 hours + 20 minutes (Preparation) + 30 hours (Remedial classes)
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and execises and to finish homeworks and colloquiums.
Consultations	2 times per week
Literature	[1] R.Gligorić, Inženjerske komunikacije, Univerzitet u Novom Sadu, Poljoprivredni fakultet, 2015, ISBN 978-86-7420-327-8. http://polj.uns.ac.rs/wp-content/uploads/2014/10/Udžbenik-Inženjerske-komunikacije-Radojka-Gligorić.pdf [2] J.Jovanović, Kompjuterska grafika,Univerzitet Crne Gore, Mašinski fakultet, 2010 [3] Autodesk AutoCAD 2018 and Inventor 2018 Tutorial, CretaSpace Independent Publishing Platform 2017, ISBN 978-15-4801-072-0. http://www.ebook777.com/autodesk-autocad-2018-inventor-2018-tutorial/
Examination methods	- 5 homeworks: 5 x 3 points = 15 points - I test: 15 points - II test: 15 points - III test: 15 points - Final exam: 40 points Passing mark is awarded if the student collects at least 50 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS III

Course:

MATHEMATICS III/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1609	Obavezan	3	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Prerequisities do not exist.
Aims	Introduction to the double and triple integrals, their applications and the introduction to the basic concepts of complex analyses.
Learning outcomes	After successful completion of this course, the student will be able to: 1.Define the notion of double integral, triple integral, surface and line integral and quote their applications. 2.Solve problems recquiring calculation of double, triple ,surface and line integrals. 3. Explain and apply the basic notions of scalar field theory and vector field theory(gradient, divergence, rotor). 4.Calculate nth roots of comlex number and the powers of comlex number and quote elementary complex functions. 5. Quote and apply theorems about necessary and sufficient conditions for differentiability of complex function, Cauchy ‘s integral theorem and residue theorem.
Lecturer / Teaching assistant	Sanja Jancic Rasovic Rajko Calasan
Methodology	Lectures,exercises,consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Double integral. Definition, properties and calculating.
I week exercises	Double integral. Definition,properties and calculating.
II week lectures	Double integrals in polar coordinates. Change of variables in double integral.
II week exercises	Double integrals in polar coordinates. Change of variables in double integral.
III week lectures	Applications of double integral. Area of a region. Volume of solids. Surface area. Mass, first moment and centre of mass in 2D.Moments of inertia in 2D.
III week exercises	Applications of double integral. Area of a region. Volume of solids. Surface area. Mass, first moment and centre of mass in 2D.Moments of inertia in 2D.
IV week lectures	Triple integral. Cylindrical coordinates.Spherical coordinates. Applications of the triple integrals.
IV week exercises	Triple integral. Cylindrical coordinates.Spherical coordinates. Applications of the triple integrals.
V week lectures	Line integrals of the first kind and line integrals of the second kind. Green formula.
V week exercises	Line integrals of the first kind and line integrals of the second kind. Green formula.
VI week lectures	Surface integrals of the first and second kind. Ostrogradsky-Gauss formula. Stokes formula.
VI week exercises	Surface integrals of the first and second kind. Ostrogradsky-Gauss formula. Stokes formula.
VII week lectures	Interim exam.
VII week exercises	Interim exam.
VIII week lectures	Basac notions of scalar field theory and vector field theory.Gradient. Rotor. Divergence. Various types of fields.
VIII week exercises	Basac notions of scalar field theory and vector field theory.Gradient. Rotor. Divergence. Various types of fields.
IX week lectures	Improprer integrals. Euler integral of the first and second kind.
IX week exercises	Improprer integrals. Euler integral of the first and second kind.
X week lectures	The field of complex numbers. Trigonometric form of complex number. Complex sequence.
X week exercises	The field of complex numbers. Trigonometric form of complex number. Complex sequence.
XI week lectures	Functions of a complex variable. Limits and continuity of complex functions.The derivative of a complex function.
XI week exercises	Functions of a complex variable. Limits and continuity of complex functions.The derivative of a complex function.
XII week lectures	Cauchy-Riemann equations.Analytic functions. Complex integration.
XII week exercises	Cauchy-Riemann equations.Analytic functions. Complex integration.
XIII week lectures	Cauchy's integral theorem. Conformal mapping.Taylor and Laurent series. Singularities.
XIII week exercises	Cauchy's integral theorem. Conformal mapping.Taylor and Laurent series. Singularities.
XIV week lectures	Residue of a function. Application of the residue theorem.
XIV week exercises	Residue of a function. Application of the residue theorem.
XV week lectures	Correctional exam for interim exam.
XV week exercises	Final exam.

Student workload	A week: 6,75x30/40=9 hours Structure 3 hours of lectures 3 hours of exercise 3 hours of student work including consultations During the semester Teachig and the final exam: 16 x 9= 134h Necessery preparation (before semester administration, enrollment and verification): 2x9h=18h. Total hours for the course::6,75x30 =202,5 hours Additional work : 202,5-(134+18)=50,5h Structure:: 134h lecture + 18 h preparation+ 50,5h additional work
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students have to attend lectures, take interim exam and final exam.
Consultations	After the lectures.
Literature	R. Scepanovic,S. Jancic Rasovic: Matematika III za studente gradjevinskog i masinskog fakulteta . Ušćumlić, Miličić: Matematika II,zbirka zadataka
Examination methods	Interim exam 50 points Final exam 50 points Grade : A 91-100 B 81-90 C 71-80 D 61- 70 E 51-60
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINE ELEMENTS I

Course:

MACHINE ELEMENTS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1610	Obavezan	3	5	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Passed subject Statics
Aims	In this subject is taught calculation and shaping machine elements, with special emphasis on the shaft and the axle. In this subject is taught the calculation the most important mechanical joints.
Learning outcomes	Upon completion of this course the student will be able to: 1. commit the selection of the size and position of the tolerance zone, as well as to analyze the impact of temperature changes on change selected seating 2. determine the working and critical loads of machine elements based on which can calculate the level of security 3. commit estimate the shafts and axle by the criteria of firmness, rigidity and dynamic stability 4. commit estimate moveless threaded joints (longitudinally and transversely loaded bolted connections), as well as the calculate moving threaded joints 5. commit estimate pressed, groove and toothed connection, as well as a selection of wedges without slope, wedges with a slope, tangent wedges and sectional wedges 6. commit a choice and estimate the axles and pin 7. commit estimate flexion springs, simple torsion springs, helical torsion springs, belleville springs, ring springs and rubber springs
Lecturer / Teaching assistant	Prof. dr Radoslav Tomović
Methodology	Lectures, exercises, homeworks, colloquiums and laboratory exercises

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Design. Introduction. Definition. Design process. Design with aspect of production. Design with aspect of recycling. Design with aspect of aesthetics and ergonomics. Computer aided design.
I week exercises	Design process.
II week lectures	Standard numbers and tolerance of machine parts. Standardization. Tolerances of linear of measures. ISO- system tolerances of linear of measures. Complex tolerances. Temperature influence on tolerances. Tolerances shape and positions. Tolerances roughness
II week exercises	Tolerances of linear of measures. ISO- system tolerances of linear of measures. Complex tolerances. Temperature influence on tolerances. Homework.
III week lectures	Basics calculate of machine elements. Introduction. Calculation method of bearing capacity of machine elements. Working loads of machine elements. Working stresses. The stress concentration. The surface tension.
III week exercises	Working loads of machine elements. Working stresses. The stress concentration. The surface tension.
IV week lectures	Critical loads of machine elements. Static firmness of machine parts. The dynamic firmness of machine parts. Influence changes loads on dynamic firmness of machine parts. Level of security and allowed stress. Material for production machine parts.
IV week exercises	Critical loads of machine elements. Static firmness of machine parts. The dynamic firmness of machine parts. Influence changes loads on dynamic firmness of machine parts. Level of security and allowed stress.
V week lectures	Shafts and axle. Introduction. Task and division. Material for shafts. Production shafts. Loads shafts. Static analysis loads. Resistances of supports. Attackly loads of shafts and axles.
V week exercises	Loads shafts. Static analysis loads. Resistances of supports. Attackly loads of shafts and axles.
VI week lectures	The calculation shafts and axle by the criteria of firmness.
VI week exercises	The calculation shafts and axle by the criteria of firmness. Homework.
VII week lectures	The calculation shafts and axle by the criteria of rigidity. The calculation shafts and axle by the criteria of dynamic stability.
VII week exercises	I Colloquium
VIII week lectures	Threaded fasteners. Introduction. The parameters thread. Joint threaded. Standard thread profiles. Materials for production threaded parts. Production and protection threaded parts. Kinematics. Loads and tension couples with threaded.
VIII week exercises	The parameters thread. Joint threaded. Standard thread profiles. Kinematics. Loads and tension couples with threaded.
IX week lectures	Longitudinal load bolts connection. Tightening bolts connections. Rigidity bolts and rigidity connected parts. Working load bolts connections (static and dynamic). The influence of the force position on bolts connection. Measures to ensure bolts connectio
IX week exercises	Longitudinal load bolts connection. Tightening bolts connections. Rigidity bolts and rigidity connected parts. Working load bolts connections (static and dynamic). The influence of the force position on bolts connection. Measures to ensure bolts connectio
X week lectures	Transversely load bolted connections. Unregulated (friction) bolted connection. The adjusted (shear) bolted connection. Group bolted connections.
X week exercises	Transversely load bolted connections. Unregulated (friction) bolted connection. The adjusted (shear) bolted connection. Group bolted connections. Homework.
XI week lectures	Moving threaded joints. Load and tension moving threaded joints. Degree of efficiency moving threaded joints. The check firmness threaded spindle.
XI week exercises	Moving threaded joints. Load and tension moving threaded joints. Degree of efficiency moving threaded joints. The check firmness threaded spindle.
XII week lectures	Shaft connections and working parts. Torque transmission via of resistance slip. Compounds by using two-piece hub. Compounds by using cuted hub. The compounds form contact surfaces. Conical clamp connections. The groove connections. The toothed connection
XII week exercises	Shaft connections and working parts. Torque transmission via of resistance slip. Compounds by using two-piece hub. Compounds by using cuted hub. The compounds form contact surfaces. Conical clamp connections. The groove connections. The toothed connection
XIII week lectures	The axles and linchpin. The calculations and sizing the axles. Check load joints. The calculations linchpin.
XIII week exercises	The axles and linchpin. The calculations and sizing the axles. Check load joints. The calculations linchpin.
XIV week lectures	Springs. Introduction. Spring characteristics. Springs sistems. Materials. Flexion springs. Leaf springs. Helical flexion springs. Spiral springs. Torsion springs (unladylike springs and helical springs). Belleville springs. Rubber springs.
XIV week exercises	Flexion springs. Leaf springs. Helical flexion springs. Spiral springs. Homework.
XV week lectures	II Colloquium
XV week exercises	Torsion springs (unladylike springs and helical springs). Belleville springs. Rubber springs.

Student workload	3 hours of lectures and 3 hours exercises
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises, to work and surrender homeworks and working both colloquiums.
Consultations	3 hours for individual work and consultations
Literature	1. Radoš Bulatović, Mašinski elementi I, 2. Vojislav Miltenović, Mašinski elementi, 3. Milosav Ognjanović, Mašinski elementi, 4. Radoš Bulatović, Janko Jovanović, Mašinski elementi – riješeni zadaci, 5. Zoran Savić i grupa autora, Praktikum za vežbe.
Examination methods	Attendance at lectures 4%, homeworks 4% each (total 16%), colloquiums 15% each (total 30%) and are prerequisite for final exam. Final exam 50%. Grading Scale: 100% - 90% A; 90% - 80% B; 80% - 70% C; 70% - 60% D; 60% - 50% E; 50% - 0% F
Special remarks
Comment	For addtional information on subject contact proffesor

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS IV

Course:

MATHEMATICS IV/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1614	Obavezan	4	4.5	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4.5 credits x 40/30=6 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINE ELEMENTS II

Course:

MACHINE ELEMENTS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1615	Obavezan	4	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Passed subject Machine elements I
Aims	In this subject is taught converting and guidance mechanical energy from shaft power machines to shaft working machines. In this subject is taught theory, calculation, structural forms all parts power transmission.
Learning outcomes	Upon completion of this course the student will be able to: 1. commit estimate of geometry and firmness cylindrical gear with straight teeth and with helical teeth 2. commit estimate of geometry and firmness conical gears with straight teeth and with helical teeth 3. commit estimate of geometry and firmness worm gears 4. commit choice and calculation dimensions of chain transmission 5. commit choice and calculation dimensions gear with flat belt, with a trapeze belt and with toothed belt 6. determine capacity and working life a friction transmission 7. commit choice rolling element bearings given the dynamic load and the static load 8. determine capacity radial and axial slide bearings 9. commit choice appropriate couplings (inseparable couplings, rigid couplings, on-off couplings and special couplings)
Lecturer / Teaching assistant	Prof. dr Janko Jovanović, Mirjana Šoškić
Methodology	Lectures, exercises, homeworks, colloquiums and laboratory exercises

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Gears. Introduction. Basic terms. Fundamental law of gearing. Line of action. Curves profile.
I week exercises	Gears. Fundamental law of gearing. Line of action. Curves profile.
II week lectures	Gear geometry – spur gears. Introduction. Basic rack profile. Involute curve. Base pitch. Change of center distance. Movement profile tools. Circular tooth thickness.
II week exercises	Gear geometry – spur gears. Basic rack profile. Involute curve. Base pitch. Change of center distance. Movement profile tools. Circular tooth thickness.
III week lectures	Gear geometry – spur gears. Pressure angle. Shortening head tooth. Gear diameters. Bordering number tooth. Transverse contact ratio. Gear geometry – helical gears. Gear tooth profile. Gear dimensions. Equivalent gear. Measuring and control of spur and hel
III week exercises	Gear geometry – spur gears. Pressure angle. Gear diameters. Bordering number tooth. Transverse contact ratio. Gear geometry – helical gears. Gear tooth profile. Gear dimensions. Equivalent gear. Measuring and control of spur and helical gears. Labaratory
IV week lectures	Cylindrical gear – load and stresses. Loads. Load factors. The calculation by criteria endurance flank tooth and foothills tooth. Materials gears. Choice of basic dimensions.
IV week exercises	Cylindrical gear – load and stresses. Loads. Load factors. The calculation by criteria endurance flank tooth and foothills tooth. Choice of basic dimensions.
V week lectures	Bevel gears. Characteristics and application. Gear tooth profiles. Gear dimensions. The calculation by criteria endurance flank tooth and foothills tooth.
V week exercises	Bevel gears. The calculation by criteria endurance flank tooth and foothills tooth.
VI week lectures	Worm gear. Characteristics and application. Types of worm gears and tooth flank profiles. Loads. Energy loses. Degree of efficiency.
VI week exercises	Worm gear. Loads. Energy loses. Degree of efficiency.
VII week lectures	The calculation by criteria endurance flank tooth and foothills tooth. Materials. ILubrication. Choice of basic dimensions.
VII week exercises	The calculation by criteria endurance flank tooth and foothills tooth. Choice of basic dimensions. Homework.
VIII week lectures	Belt transmission. Characteristics. Types of belt transmissions. Belt tension. Belt profiles. Materials. Calculation of flat belt transmission.
VIII week exercises	I Colloquium
IX week lectures	Calculation of V-belt transmisssion. Calculation of synhronous belt transmisssion. Pulley design.
IX week exercises	Belt transmission. Calculation of flat belt transmission. Calculation of V-belt transmisssion. Calculation of synhronous belt transmisssion.
X week lectures	Friction transmission. Characteristics and types. Friction transmission design and application. Materials. Kinematics of friction transmission. Kinetic and elastic sliding. Loads. Choice of basic dimensions.
X week exercises	Friction transmission. Kinematics of friction transmission. Kinetic and elastic sliding. Loads. Choice of basic dimensions.
XI week lectures	Chain transmission. Characteristics and application. Types of chain transmissions. Choice number teeth. Powers. Load capacity the chains with rollers. Choice and calculation dimensions of chain transmission.
XI week exercises	Chain transmission. Choice number teeth. Powers. Load capacity the chains with rollers. Choice and calculation dimensions of chain transmission. Homework.
XII week lectures	Rolling element bearings. Characteristics and types. Marking system. Standard forms. Choice of bearing type. Load capacity and service life. Lubrication. Sealing. Assemblage.
XII week exercises	Rolling element bearings. Marking system. Standard forms. Choice of bearing type. Load capacity and service life.
XIII week lectures	Sliding bearings. Characteristics and types. Friction and lubricant role. Hydrostatic and hydrodynamic lubrication. Lubrication systems. Materials. Load capacity. Slider bearings design.
XIII week exercises	Sliding bearings. Hydrostatic and hydrodynamic lubrication. Load capacity. Slider bearings design. Homework.
XIV week lectures	Couplings. Application and types. Rigid couplings. Flexible couplings. on-off couplings. Torque limiting couplings. Centrifugal couplings. One-way couplings. Induction couplings and hydrodynamic couplings.
XIV week exercises	Couplings. Rigid couplings. Flexible couplings. On-off couplings. Torque limiting couplings.
XV week lectures	II Colloquium
XV week exercises	Centrifugal couplings. One-way couplings. Induction couplings and hydrodynamic couplings.

Student workload	Nedjeljno 6 kredita x 40/30 = 8 sati Struktura: 3 sata predavanja 2 sata vježbi 3 sata samostalnog rada, uključujući konsultacije U toku semestra Nastava i završni ispit: (8 sati) x 16 = 128 sati Neophodne pripreme prije početka semestra (administracija, upis, ovjera): 2 x (8 sati) = 16 sati Ukupno opterećenje za predmet: 6x30 = 180 sati Dopunski rad: 36 sati za pripremu ispita u popravnom ispitnom roku, uključujući i polaganje popravnog ispita (preostalo vrijeme od prve dvije stavke do ukupnog opterećenja za predmet 180 sati) Struktura opterećenja: 128 sati (Nastava)+16 sati (Priprema)+36 sata (Dopunski rad)
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises, to work and surrender homeworks and working both colloquiums.
Consultations	2 times per week
Literature	1. Radoš Bulatović, Mašinski elementi II, 2. Vojislav Miltenović, Mašinski elementi, 3. Milosav Ognjanović, Mašinski elementi, 4. Radoš Bulatović, Janko Jovanović, Mašinski elementi – riješeni zadaci, 5. Zoran Savić i grupa autora, Praktikum za vežbe.
Examination methods	Homeworks 5 points each (total 20 points), colloquiums 15 points each (total 30 points) and are prerequisite for final exam. Final exam 50 points. Grading Scale: 100 - 90 A; 90 - 80 B; 80 - 70 C; 70 - 60 D; 60 - 50 E; 50 - 0 F
Special remarks
Comment	For addtional information on subject contact proffesor

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / OSCILLATIONS IN MECHANICAL ENGINEERING

Course:

OSCILLATIONS IN MECHANICAL ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1622	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Dynamics
Aims	Introduction to the basic concepts and methods of linear theory of vibrations and their application.
Learning outcomes	Once the student has completed the exam he/she will be able to - Determine the equilibrium positions of conservative systems and examine their stability; - Conduct a linearization of systems of differential equations of motion near a stable equilibrium position; - Analyzes free and forced, damped and undamped, oscillations of the system with one and two degrees of freedom; - Analyzes oscillatory behaviour of simple models of mechanical systems; - Describe and analyze the oscillations of elastic bodies with the linearly distributed mass.
Lecturer / Teaching assistant	Prof. Dr. Ranislav Bulatović
Methodology	Lectures, exercises, homeworks, tests, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction, Classification of Vibrations. Preliminaries from Dynamics.
I week exercises	Preliminaries from Dynamics.
II week lectures	Elements of Analytical Mechanics that are Used in the Linear Theory of Oscillations.
II week exercises	Elements of Analytical Mechanics that are Used in the Linear Theory of Oscillations.
III week lectures	Stability of Equilibrium. Linearisation.
III week exercises	Stability of Equilibrium of Conservative Systems.
IV week lectures	Free Vibration of Single Degree of Freedom Systems, Harmonic Motion, Basic models.
IV week exercises	Free Vibration of Single Degree of Freedom Systems.
V week lectures	Rayleigh's Energy Method. Free vibration of Damped Single Degree of Freedom Systems.
V week exercises	Rayleigh's Energy Method. Free Vibration of Damped Systems.
VI week lectures	Harmonically Forced Undamped and Damped Vibrations. Vibration Isolation.
VI week exercises	Harmonically Forced Undamped and Damped Vibrations.
VII week lectures	Harmonic Analysis.
VII week exercises	Harmonic Analysis.
VIII week lectures	Non-periodically Forced Vibrations.
VIII week exercises	1st Test
IX week lectures	Free Vibration of Two Degree of Freedom Systems. Matrix Methods.
IX week exercises	Free Vibration of Two Degree of Freedom Systems.
X week lectures	Frequency Equation. Modal Vectors. Equation of Motion. Principal Coordinates.
X week exercises	Frequency Equation. Modal Vectors. Equation of Motion. Principal Coordinates.
XI week lectures	Special Examples. Oscillation of Masses on the Light Elastic Supports.
XI week exercises	Oscillation of Masses on the Light Elastic Supports.
XII week lectures	Viscous Damped Free Vibration. Routh-Hurvic Criterion.
XII week exercises	Viscous Damped Free Vibration. Routh-Hurvic Criterion.
XIII week lectures	Forced Vibration of Undamped Two Degree of Freedom Systems. Resonance. Vibration Absorbers.
XIII week exercises	Forced Vibration of Undamped Two Degree of Freedom Systems.
XIV week lectures	Forced Vibration of Damped Two Degree of Freedom Systems. The Case of Modal Damping.
XIV week exercises	2nd Test
XV week lectures	Transverse Vibration of a String, Longitudinal and Torsional Vibrations of a Rod.
XV week exercises	Transverse Vibration of a String, Longitudinal and Torsional Vibrations of a Rod.

Student workload	Weekly 4.5 ECTS x 40/30 = 6 hours; structure: 2 hours lectures, 2 hours exercises, 2 hours self learing. During semester Lectures and final exam: 6 hours x 16 weeks = 96 hours; Necessary preparations: 2 x 6 hours = 12 hours; Total hours for the course: 4.5 x 30 = 135 hours; Additional work:135-(96+12)=27 hours; Load structure: 96 hours (schooling)+12 hours (preparation)+27 hours (additional work)
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises, do their homeworks and tests.
Consultations	2 times per week.
Literature	B. Vujanović, Teorija oscilacija, Univerzitet u Novom Sadu, 1996. V. Čović, J. Vuković, Zbirka zadataka iz oscilacija mehaničkih sistema, Mašinski fakultet, Beograd, 1990. S.G. Kelly, Theory and problems of mechanical vibrations, Mc Grow-Hill, 1996.
Examination methods	Homeworks 20% Tests 2x20%=40% Final exam 40% Grading Scale: 100%-90% A; 90%-80% B;80%-70% C;70%-60% D;60%-50% E;50%-0% F
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STRENGTH OF CONSTRUCTIONS

Course:

STRENGTH OF CONSTRUCTIONS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1625	Obavezan	6	5	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / RELIABILITY

Course:

RELIABILITY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1627	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditions for login and listening subject
Aims	In this subject is taught reliability as a higher degree of accuracy of calculations in relation to degree of safety. Is taught methodology which yourself based on experimental data gain the legality of allocation operating and critical condition.
Learning outcomes	Upon completion of this course the student will be able to: 1. determine reliability indices (the frequency of appearance demission, cumulative the frequency of appearance demission, reliability and intensity demission), as well as that determine a statistical reliability indices (mean, mediana, mod, varians and standard deviation) 2. determine distribution law demission (normal distribution, log-normal distribution or weibull distribution), on the basis of an experimental questioning and statistical planning questioning and analytical the method 3. determine reliability of the system with serially connected elements, with the system parallel connected elements and with specific connection elements (quasi serially connected and quasi parallel connected) 4. calculating the reliability of machine elements, based on knowledge of allocation working stress and critical stress, using the general equation for analytical determination of reliability 5. execute the calculation of machine elements on the basis of the reliability, based on considerations of reliability in the design process, by treating the each parameter as random variable size which belongs to the normal distributions
Lecturer / Teaching assistant	Prof. Dr Radoš Bulatović
Methodology	Lectures, exercises, homeworks, colloquiums and laboratory exercises

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	The effectiveness of the system. The definition of reliability. Reliability and the life cycle of the system. Notion effectiveness of the system. Effectiveness as part of the value system. Concepts effectiveness of the system. Parameters effectiveness of
I week exercises	The effectiveness of the system. The definition of reliability. Concepts effectiveness of the system. Parameters effectiveness of the system.
II week lectures	Time categories. Connection between parameters effectiveness of the system and temporal category.
II week exercises	Connection between parameters effectiveness of the system and temporal category.
III week lectures	The functions of reliability. The function of allocation demission. The function of the intensity demission. Expected time work without failure.
III week exercises	The functions of reliability. The function of allocation demission. The function of the intensity demission. Expected time work without failure. Homework.
IV week lectures	Distributions that are used in reliability theory. Exponential distribution. Normal distribution. Log-normal distribution. Weibull distribution. Gamma distribution.
IV week exercises	Exponential distribution. Normal distribution. Log-normal distribution. Weibull distribution. Gamma distribution.
V week lectures	Models the intensity of demission. Assessment indicators of proper operation. A small sample. The method of ranking. Rank 5% and rank 95%. Medijalni rank 50%. The large sample. Using Weibull paper.
V week exercises	Models the intensity of demission. Assessment indicators of proper operation. A small sample. The method of ranking. Rank 5% and rank 95%. Medijalni rank 50%.
VI week lectures	I Colloquium
VI week exercises	The large sample. Using Weibull paper. Homework.
VII week lectures	Reliability of the system. Models of system reliability. The system serially connected elements. The system parallel connected elements. Systems with partially parallel connections.
VII week exercises	The system serially connected elements. The system parallel connected elements. Systems with partially parallel connections.
VIII week lectures	Systems with unladen and facilitated a spare elements. Systems with a mix of related elements.
VIII week exercises	Systems with unladen and facilitated a spare elements. Systems with a mix of related elements.
IX week lectures	Working and critical condition machinery and parts. Working load and stresses in conditions exploitation. Critical stress for constant working stress. Dynamic endurance for constant amplitude working stress (basic endurance). Dynamic endurance for a varia
IX week exercises	Working load and stresses in conditions exploitation. Critical stress for constant working stress. Dynamic endurance for constant amplitude working stress (basic endurance). Dynamic endurance for a variable amplitude working stress (working endurance).
X week lectures	Determination of reliability elements machine systems. Causes of occurrence demission and malfunctioning elements machine systems. Possible mode determining reliability. Determining failure probability based on anticipated wastage working and critical loa
X week exercises	Possible mode determining reliability. Determining failure probability based on anticipated wastage working and critical loads. Application of calculation and check reliability. Homework.
XI week lectures	Reliability in the process designing. Methodology designing on based on reliability. The equation for analytical determination of reliability. Graphical determination of reliability.
XI week exercises	The equation for analytical determination of reliability. Graphical determination of reliability.
XII week lectures	Method partial excerpts. Determination of reliability for various combinations distribution working and critical loads.
XII week exercises	Method partial excerpts. Determination of reliability for various combinations distribution working and critical loads.
XIII week lectures	Reliability in the designing process machine elements. Elements of the system force. The center of gravity. Moment of inertia. Elements exposed stretching.
XIII week exercises	Elements of the system force. The center of gravity. Moment of inertia. Elements exposed stretching.
XIV week lectures	Beam elements exposed to the activities concentrated loads and continual loads. Consoles and both sides wedged beams. Elements exposed compressive force. Elements exposed torsion. Homework.
XIV week exercises	Beam elements exposed to the activities concentrated loads and continual loads. Consoles and both sides wedged beams.
XV week lectures	II Colloquium
XV week exercises	Elements exposed compressive force. Elements exposed torsion.

Student workload	2 hours of lectures and 1 hour exercises
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises, to work and surrender homeworks and working both colloquiums.
Consultations	2 hours for individual work and consultations
Literature	1. Nikola Vujanovic, Teorija pouzdanosti tehničkih sistema, 2. Svetislav Jovičic, Osnovi pouzdanosti mašinskih konstrukcija, 3. Dragan Milčić, Pouzdanost mašinskih sistema, 4. Milosav Ognjanović, Metodika konstruisanja mašina, Radoš Bulatović, Pouzdanost,
Examination methods	Attendance at lectures 4%, homeworks 4% each (total 16%), colloquiums 15% each (total 30%) and are prerequisite for final exam. Final exam 50%. Grading Scale: 100% - 90% A; 90% - 80% B; 80% - 70% C; 70% - 60% D; 60% - 50% E; 50% - 0% F
Special remarks
Comment	For addtional information on subject contact proffesor

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / APPLIED THERMODYNAMICS

Course:

APPLIED THERMODYNAMICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2374	Obavezan	6	5	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims	Introducing with specific processes and phenomena in multicomponent systems based on thermodynamic principles and laws.
Learning outcomes	After the student completes this exam, he/she will be able to: EXPECTED RESULTS: The student is expected to: 1. Understands and correctly interprets the concept of non-reactive mixtures; 2. Understands the concept and physical principles of moist air; 3. Describes and interprets basic processes with moist air; 4. Correctly interprets the terms adiabatic cooling and wet and dry thermometer; 5. Understands and interprets the physical phenomenon of flow in jets; 6. Understands and correctly interprets the so-called third equilibrium condition using electrochemical potential; 7. Understands and correctly interprets Gibbs rule of phases, the second law of thermodynamics for open system; 8. Understands the concept of reactive mixtures, chemical equilibrium and combustion 9. Calculates the adiabatic temperature of the flame;
Lecturer / Teaching assistant	Prof. Dr Igor Vušanović, Dr Milan Šekularac
Methodology	Lectures, exercises, homework, colloquiums

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Non-reactive mixtures
I week exercises
II week lectures	Moist air: equation of state, i-x diagram
II week exercises
III week lectures	Characteristic processes with moist air: heating and cooling
III week exercises
IV week lectures	Characteristic processes with moist air: drying, humidification
IV week exercises
V week lectures	Adiabatic humidification of moist air. Examples of calculations.
V week exercises
VI week lectures	Wet bulb temperature
VI week exercises
VII week lectures	Flow through the nozzle: Convergent, Convergent-Divergent
VII week exercises
VIII week lectures	Phase equilibrium, Electrochemical potential
VIII week exercises
IX week lectures	Gibbs phase rule
IX week exercises
X week lectures	Phase diagrams
X week exercises
XI week lectures	Second Law of Thermodynamics for open systems
XI week exercises
XII week lectures	Reactive mixtures
XII week exercises
XIII week lectures	Chemical equilibrium
XIII week exercises
XIV week lectures	Combustion
XIV week exercises
XV week lectures	Adiabatic flame temperature
XV week exercises

Student workload	Weekly 4.5 credits x 40/30 = 6 hours Structure: 2 hours of lectures 2 hours of calculation exercises 2 hours of independent work and consultation
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to complete all four homework assignments and to attend classes in order to be able to take the colloquium, i.e. the final exam. Homework assignments must be completed within 7 days from the day they are issued. In order for the work to be accepted, it must be done correctly
Consultations
Literature	Nenad Kažić Autorizovana Skripta, Voronjec, Djordjevic: Termodinamika- Teorija sa zadacima, Mašinski fakultet u Beogradu.
Examination methods	2 domaća zadatka 2x5 = 10 Seminarski rad 1x10=10 2 kolokvijuma
Special remarks	Lectures and exercises can be organized in a foreign language
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / APPLIED FLUID MECHANICS

Course:

APPLIED FLUID MECHANICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2375	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Introduction on Fluid Mechanics
Aims	Execute the calculation of fluid flow through pipelines
Learning outcomes	Upon completion of this course the student will be able to: 1. Execute the calculation of fluid flow through pipelines 2. Budget time highlighting fluid from the reservoir 3. Determine the size of the friction in a narrow layer of lubricating plain bearings 4. Determine the characteristics of the boundary layer of incompressible fluid 5. Budget of the gas flow in the pipes and nozzles 6. Determine the size of the flow, speed and flow of liquids in open channels, as well as the size of the hydraulic jump
Lecturer / Teaching assistant	Prof. dr Dečan Ivanović Mr. Esad Tombarević
Methodology	Education and examples

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Pipe flow: Basic equations;Continuty Equation;Momentum equation; Bernoulli's equation
I week exercises	Examples: Pipe flow: Basic equations;Continuty Equation;Momentum equation; Bernoulli's equation
II week lectures	Energy equation; dissipation of energy on a straight pipeline; local energy dissipation (at the entrance of the pipeline, due to narrowing)
II week exercises	Examples:Energy equation; dissipation of energy on a straight pipeline; local energy dissipation (at the entrance of the pipeline, due to narrowing)
III week lectures	Local loss due to suddenly expansion, at the exit of the pipeline, due to changes in the main direction of flow, and the flow through valves
III week exercises	Examples:Local loss due to suddenly expansion, at the exit of the pipeline, due to changes in the main direction of flow, and the flow through valves
IV week lectures	Calculation of pipeline: simple and complex pipeline systems
IV week exercises	Examples:Calculation of pipeline: simple and complex pipeline systems
V week lectures	Unsteady flow of viscous compressible fluid in the tubes
V week exercises	Examples:Unsteady flow of viscous compressible fluid in the tubes
VI week lectures	Water hummer, hydraulic surge velocity disturbances of pressure- sures Preventing of water hummer
VI week exercises	Examples:Water hummer, hydraulic surge velocity disturbances of pressure- sures Preventing of water hummer
VII week lectures	Water highlighting to the small and large openness and highlighting to the sleeve
VII week exercises	Examples:Water highlighting to the small and large openness and highlighting to the sleeve
VIII week lectures	Liqid highlighting in variable water level - emphasis at constant flow - merged courts
VIII week exercises	Examples:Liqid highlighting in variable water level - emphasis at constant flow - merged courts
IX week lectures	Basis compressible flow: velocity of sound wave- Mach cone and containment fluid properties
IX week exercises	Examples:Basis compressible flow: velocity of sound wave- Mach cone and containment fluid properties
X week lectures	Approximate solutions of Navier-Stokes equations: Slow flow of viscous fluida
X week exercises	Examples:
XI week lectures	Hydrodynamic lubrication theory
XI week exercises	Examples:Hydrodynamic lubrication theory
XII week lectures	Boundary layertheory: Equation of boundary layer
XII week exercises	Examples:Boundary layertheory: Equation of boundary layer
XIII week lectures	Border thickness of the boundary layer and separation point.Drag and lift bodies in fluid flow: Drag and lift in perfect fluid. Drag and lift bodies in fluid flow: Drag and lift in viscous fluidu and vibrations.
XIII week exercises	Examples:Border thickness of the boundary layer and separation point.Drag and lift bodies in fluid flow: Drag and lift in perfect fluid. Drag and lift bodies in fluid flow: Drag and lift in viscous fluidu and vibrations.
XIV week lectures	Colloquium II
XIV week exercises	Colloquium II
XV week lectures	FINAL EXAM
XV week exercises	FINAL EXAM

Student workload	two hours of lectures and exercises per week.
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students should attend lectures and exercises, and for that they will have a points;
Consultations	Consultation with students performed Wednesdays, Thursdays and Fridays.
Literature	Frank M. White- Fluid Mechanics-sixth Edition, 2008, Mc Graw Hill Higher Education; Dečan Ivanović- Primijenjena mehanika fluida -mašinski fakultet, Univerzitet Crne Gore, 2012.; Petar Vukoslavčević i Uroš Karadžić- Osnovi mehanike fluida, Mašinski faku
Examination methods	Two tests of 50% and final exam 50%. Marks are: A (91-100%), B (81-90%), C (71-80%), D (61-70%) and E (51-60%).
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MAINTENANCE

Course:

MAINTENANCE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2390	Obavezan	5	5	2+1+1

Programs	MECHANICAL ENGINEERING
Prerequisites	No prerequisites
Aims	The main goal of the course is to acquaint the student with maintenance issues. This is first of all refers to: place, importance and organization of the maintenance system depending on the type of work and size companies, principles and forms of organizing maintenance in order to optimize maintenance as well as application methods and techniques in maintenance in order to increase the effectiveness and efficiency of technical systems.
Learning outcomes	After passing the exam in this subject, students will be able to: • Understand the concept and significance maintenance • Assess the reliability and readiness of technical systems • Understand strategies and forms organizing maintenance based on Lean and IoT • Apply methods and techniques in maintenance • Understand factors of therotechnology and therotechnological approach to maintenance
Lecturer / Teaching assistant	Prof. dr Jelena Šaković Jovanović
Methodology	Teaching of each chapter, discussions and explanations with students during the presentation. Short orals checks of understanding and knowledge of parts of the material covered in the lectures. Exercises on concrete examples and case studies. Visiting companies and preparing seminar papers in chosen business environment

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Concept and definition of technical systems. Maintenance of technical systems. System approach to maintenance
I week exercises	Concept and definition of technical systems. Maintenance of technical systems. System approach to maintenance
II week lectures	A time snapshot of the system state. State of work and state of cancellation.
II week exercises	A time snapshot of the system state. State of work and state of cancellation.
III week lectures	Effectiveness and effectiveness components of technical systems (readiness, reliability and functional eligibility)
III week exercises	Effectiveness and effectiveness components of technical systems (readiness, reliability and functional eligibility)
IV week lectures	Readiness of technical systems.
IV week exercises	Readiness of technical systems.
V week lectures	Reliability of technical systems.
V week exercises	Reliability of technical systems.
VI week lectures	Reliability functions of technical systems
VI week exercises	Reliability functions of technical systems
VII week lectures	Preparation for the I test
VII week exercises	I test
VIII week lectures	Principles and forms of organizing maintenance. Centralized, decentralized and combined maintenance. Maintenance documentation. Participation of experts from practice.
VIII week exercises	Principles and forms of organizing maintenance. Centralized, decentralized and combined maintenance. Maintenance documentation. Participation of experts from practice.
IX week lectures	Maintenance strategies. Preventive, follow-up maintenance and modern maintenance strategies. Analysis case study
IX week exercises	Maintenance strategies. Preventive, follow-up maintenance and modern maintenance strategies. Analysis case study
X week lectures	Spare parts. Spare parts inventory management. ABC analysis. Application of Minitab software program.
X week exercises	Spare parts. Spare parts inventory management. ABC analysis. Application of Minitab software program.
XI week lectures	Technical diagnostics in maintenance. Objective and subjective procedures of technical diagnostics. Application equipment for measurement and technical diagnostics.
XI week exercises	Technical diagnostics in maintenance. Objective and subjective procedures of technical diagnostics. Application equipment for measurement and technical diagnostics.
XII week lectures	FTA analysis – Failure tree analysis
XII week exercises	FTA analysis – Failure tree analysis
XIII week lectures	Autonomous maintenance. Therotechnological approach to maintenance. Safety and health at work. Ishikawa method. Case study analysis
XIII week exercises	Autonomous maintenance. Therotechnological approach to maintenance. Safety and health at work. Ishikawa method. Case study analysis
XIV week lectures	Preparation for the II test
XIV week exercises	II test
XV week lectures	Defense of seminar papers
XV week exercises	Preparation for the Final exam

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are obliged to regularly attend classes and exercises, work colloquia and participate in the implementation of student projects (seminars works) that they define in agreement with the subject teacher i a representative of one of the local companies
Consultations	Tuesday and Thursday 12 - 14h
Literature	Bulatović, M., Održavanje i efektivnost tehničkih sistema, Mašinski fakultet, Podgorica, 2008 Adamović Ž., Nestorović G., Radojević M., Paunović, Lj., “Menadžment industrijskog održavanja, Novi Sad, 2008 M. Imamović, Pouzdanost elemenata u fazi konstruisanja, Zenica, 2013. R. Keith Mobley, Maintenance Engineering Handbook, McGraw-Hill Education, 2014 Javier Girón Blanco, Torsten Dederichs, Lean Maintenance - A Practical, Step-By-Step Guide for Increasing Efficiency, Routledge, Taylor/Francis Group, 2018
Examination methods	2 tests of 20 points each. Seminary paper - 10 points Final exam - 50 points. A passing grade is obtained when the candidate achieves at least 51 points provided that all colloquiums and pass the seminar paper with min. 50%
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGLISH LANGUAGE I -GENERAL I

Course:

ENGLISH LANGUAGE I -GENERAL I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2427	Obavezan	2	0	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no prerequisites for taking this course.
Aims	Mastering technical vocabulary and actively using the language in everyday situations at level B2.1. Mastering technical vocabulary and actively using English language in everyday situations at level B2.1. Mastering technical vocabulary and actively using the language in everyday situations at level B2.1.
Learning outcomes	After passing the exam, the student should be able to: - Achieve successful communication in English - with acceptable pronunciation and intonation - using appropriate register and correct vocabulary and grammar. - Master basic terminology in the fields of mechanical engineering and road traffic; - Use individual words, appropriate collocations, phrases, and idioms in context. - Independently use appropriate textbooks and scientific literature, bibliographic sources, and internet resources in English. - Learn how to take notes, summarize the text he/she has listened to or read, use abbreviations and acronyms, and become familiar with computer jargon in English.
Lecturer / Teaching assistant	doc. dr Sanja Ćetković; lektor Savo Kostić
Methodology	Lectures, practice, consultations, homework.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Unit 1: What is Engineering? Branches of engineering; related listening; Guessing words in context; prefixes and suffixes; Words with special meaning in engineering
I week exercises
II week lectures	Unit 1: Understanding lecture organization; Related listening; Writing: Choosing an appropriate form of notes; Speaking from notes; Grammar-Parts of speech; countable/uncountable nouns
II week exercises
III week lectures	Unit 2:Engineering Achievements: Reading; Refrigeration and Air conditioning
III week exercises
IV week lectures	Unit 2: Codes and Standards for Machines; Using research questions to focus on relevant information; Summarizing a text
IV week exercises
V week lectures	Unit 3: Forces on Materials: listening &speaking; Materials in engineering
V week exercises
VI week lectures	Unit 3: Prefixes; Making lecture notes; Using different information sources; Reporting research findings-speaking
VI week exercises
VII week lectures	Revision
VII week exercises
VIII week lectures	Midterm exam
VIII week exercises
IX week lectures	Unit 4: Computers in Engineering: Computer-assisted manufacturing (CAM); Computer integrated manufacturing (CIM)-related reading and speaking activities; Verb and noun suffixes
IX week exercises
X week lectures	Unit 4: Computer Jargon; Abbreviations and acronyms; Discourse and stance markers
X week exercises
XI week lectures	Unit 5: MEMS and Nanotechnology; designs and application: related listening and speaking activities
XI week exercises
XII week lectures	Unit 5: Safety and ethical issues concerning nanotechnology-related reading and speaking activities
XII week exercises
XIII week lectures	Unit 5: Word sets: synonyms, antonyms etc.; Understanding “signpost language” in lectures; using symbols and abbreviations in note-taking
XIII week exercises
XIV week lectures	Revision
XIV week exercises
XV week lectures	Final Exam
XV week exercises

Student workload
Per week	Per semester
0 credits x 40/30=0 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises -4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 0 hour(s) i 0 minuts x 16 =0 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 0 hour(s) i 0 minuts x 2 =0 hour(s) i 0 minuts Total workload for the subject: 0 x 30=0 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 0 hour(s) i 0 minuts Workload structure: 0 hour(s) i 0 minuts (cources), 0 hour(s) i 0 minuts (preparation), 0 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, take midterm and final exams. The teachers may also assign other tasks such as homework, presentations, etc.
Consultations	Consultations will be scheduled at a time agreed upon with the students.
Literature	English for Mechanical Engineering in Higher Education Studiees by Marian Dunn, David Howey, Amanda Ilic; Garnet Publishing Ltd., UK, 2010. Englesko-srpski tehnički rječnik, Jelica V. Marković Tehnički rečnik, englesko-srpski - available online
Examination methods	Midterm test: up to 40 points Attendance and active participation in classes: up to 10 points Final exam: up to 50 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / RUSSIAN LANGUAGE III -ESP I

Course:

RUSSIAN LANGUAGE III -ESP I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
3045	Obavezan	5	0	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
0 credits x 40/30=0 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises -4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 0 hour(s) i 0 minuts x 16 =0 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 0 hour(s) i 0 minuts x 2 =0 hour(s) i 0 minuts Total workload for the subject: 0 x 30=0 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 0 hour(s) i 0 minuts Workload structure: 0 hour(s) i 0 minuts (cources), 0 hour(s) i 0 minuts (preparation), 0 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / OPERATIONAL RESEARCHES

Course:

OPERATIONAL RESEARCHES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
4084	Izborni	5	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	History of Linear Programming. The general form of the LP task. Basic characteristics of the LP model. The standard maximization problem. Possible applications of the LP model. The general solution of the LP model. Determination the optimal solution of the LP task - graphic method
I week exercises	History of Linear Programming. The general form of the LP task. Basic characteristics of the LP model. The standard maximization problem. Possible applications of the LP model. The general solution of the LP model. Determination the optimal solution of the LP task - graphic method
II week lectures	Determining the optimal solution of the LP task - simplex method. Criteria for changing the vector base
II week exercises	Determining the optimal solution of the LP task - simplex method. Criteria for changing the vector base
III week lectures	A mixed maxima problem. Standard and mixed minima problem
III week exercises	A mixed maxima problem. Standard and mixed minima problem
IV week lectures	Dual problem - formulation and solution of dual problem. Duality theorems
IV week exercises	Dual problem - formulation and solution of dual problem. Duality theorems
V week lectures	Simplex table-general form. The procedure for calculating the optimal solution of the task LP Simplex table - example.
V week exercises	Simplex table-general form. The procedure for calculating the optimal solution of the task LP Simplex table - example.
VI week lectures	Special cases of the LP task
VI week exercises	Special cases of the LP task
VII week lectures	Postoptimal analysis. Vector change C. Vector change b.
VII week exercises	Postoptimal analysis. Vector change C. Vector change b.
VIII week lectures	Preparation for the 1st colloquium
VIII week exercises	The first colloquium
IX week lectures	Transport problem, general form, and basic theorems. Determination of the initial basic solution. Methods of optimization of the transport problem.
IX week exercises	Transport problem, general form, and basic theorems. Determination of the initial basic solution. Methods of optimization of the transport problem.
X week lectures	Open transport problem. Assignment problem.
X week exercises	Open transport problem. Assignment problem.
XI week lectures	Simulation. Monte Carlo method.
XI week exercises	Simulation. Monte Carlo method.
XII week lectures	Queuing theory systems
XII week exercises	Queuing theory systems
XIII week lectures	Combinatorial optimization. Transport problems on the network. Graphs and networks. Determining the shortest path
XIII week exercises	Combinatorial optimization. Transport problems on the network. Graphs and networks. Determining the shortest path
XIV week lectures	Minimal spanning tree. The problem of the Chinese postman.
XIV week exercises	Minimal spanning tree. The problem of the Chinese postman.
XV week lectures	The traveling salesmans problem. Vehicle routing problem. Preparation for the final exam
XV week exercises	The traveling salesmans problem. Vehicle routing problem. Preparation for the final exam

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Regular attendance of classes (lectures and exercises).
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING DESIGN

Course:

ENGINEERING DESIGN/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
4125	Obavezan	5	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditionality
Aims	On completion of this course, students should be able to based on knowledge about the application of modern methods and procedures in the construction of technical systems.
Learning outcomes	After student finishes with this course, he will be able to: 1. Gather and chose necessary information for projecting new product. 2. Project new product applyimg different methods of methodical construction. 3. Apply different methods for searching for solution of partial function of new product. 4. Make technical and economical evaluation of new product. 5. Optimize solution of new product. 6. Choose proper material for its manufacture.
Lecturer / Teaching assistant	Prof. dr Darko Bajić
Methodology	Lectures, Exercise - individual work on the project task, Consultations, Tests

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	The basics, the essence and the importance of the science of designing and the methodical constructing.
I week exercises	Technical systems. The functional structures.
II week lectures	Methodical construction. Types of the structures. Phases of construction. Areas of application of methodical construction.
II week exercises	The total function. Partial functions.
III week lectures	Methods of methodical construction: Zwickys method of morphological boxes, matrix method of discovery, Hansens method of systematic construction, Kesselrings constructive method.
III week exercises	The first example of methodical construction.
IV week lectures	Phases of the construction process. Development of construction products. List of applications.
IV week exercises	The second example of methodical construction.
V week lectures	Conceiving. Methods of troubleshoot partial function. Conventional auxiliary methods.
V week exercises	The third example of methodical construction.
VI week lectures	Methods of troubleshoot partial function. Intuitive methods: Breinstorming, Methode 6.3.5., Delphy method. Discursive methods fofinding solutions.
VI week exercises	The first test
VII week lectures	Methods of troubleshoot partial function. Evaluation criteria as well as measures for making the decision.
VII week exercises	The first example of partial valuation functions.
VIII week lectures	The evaluation and decision-making. Determination of kindness. The technical and economic evaluation. S-diagram.
VIII week exercises	The second example of partial valuation functions.
IX week lectures	Optimization of physical connection. Mathematical formulation of construction tasks.
IX week exercises	The third example of partial valuation functions.
X week lectures	Design. Working steps in the design. The principles shaping in of the design.
X week exercises	The first example of methodical construction and partial valuation functions.
XI week lectures	Optimization and other methods matamatičke solutions.
XI week exercises	The second example of methodical construction and partial valuation functions.
XII week lectures	Factors of influence and criteria of goodness. The choice of materials in the construction.
XII week exercises	Choice of materials during construction.
XIII week lectures	The choice of materials in the design. Basic guidelines for the selection of materials.
XIII week exercises	Choice of materials during construction.
XIV week lectures	Computer aided design.
XIV week exercises	CAD
XV week lectures	The second test.
XV week exercises	Presentation of the seminar paper.

Student workload	Weekly: 4,5 ECTS x 40/30 = 6 hours; Structure: 2 hours lectures, 2 hours laboratory, 2 hours self learning; During semester: Lectures and final exam: 6 hours x 15 weeks = 90 hours; Necessary preparations: before semester beginning (administration, enrollment, validation): 2 x 6 hours = 12 hours; Total hours for the course: 4,5 x 30 hours = 135 hours; Additional work: preparation for remedial exam and remedial exam: 135 hours – (90+12) hours = 33 hours; Load structure: 90 hours (schooling) + 12 hours (preparation) + 33 hours (additional work)
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attending lectures and exercises, making homework and colloquiums.
Consultations	2 times per week
Literature	D. Bajić, Inženjersko projektovanje, pripremljena predavanja, 2017 M.Ognjanović: Razvoj i dizajn mašina, Mašinski fakulte Beograd, 2007 G.Pahl, W. Beitz, J.Feldhusen, K.H.Grote: Engineering Design 3rd Ed., Springer-Verlag London, 2007 E.Oberšmit: Nauka
Examination methods	Class attendance: 2 points; Project: 10 points; Two tests: 2 x 19 = 38 points; Final exam: 50 points (written and oral). Passing grade gets if cumulatively collected at least 50 points.
Special remarks	Students actively participates in the exercises. Each student, full equality with the teacher, gives his opinion on the discussed issue. Discussions and comments points out advantages and disadvantages offered solutions of each.
Comment	Additional information in room 418 or darko@ucg.ac.me

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING ECONOMY

Course:

ENGINEERING ECONOMY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
4127	Obavezan	3	4	2+1+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditions.
Aims	Through this course, students acquire the theoretical and practical basis of the elements of engineering economics.
Learning outcomes	After passing this exam will be able to: 1. Explain the principles of engineering economics. 2. Identify the costs of the activities in production. 3. Explain the economic size. 4. Calculate the impact of time on the value of money. 5. Compare the current and future equivalent values and annuities. 6. Explain and calculating depreciation. 7. Do the economic-financial analysis of investments.
Lecturer / Teaching assistant	Prof. dr Mileta Janjić
Methodology	Lectures, exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction, background and principles. Economy and design.
I week exercises	Examples of application.
II week lectures	Cost: terminology, types, assessment.
II week exercises	Application of traffic.
III week lectures	General economic environment. Costs managed design optimization.
III week exercises	Current economic analysis of traffic problems.
IV week lectures	Estimating cash flows for projects in traffic.
IV week exercises	Examples of application.
V week lectures	Refund of capital. Simple and complex interest. The concept of equivalence.
V week exercises	Examples of application.
VI week lectures	Cash flow.
VI week exercises	Examples of application.
VII week lectures	Disposable cash flows.
VII week exercises	Examples of application.
VIII week lectures	I Colloquium
VIII week exercises	I Colloquium
IX week lectures	Annuity and equivalent value.
IX week exercises	Examples of application.
X week lectures	Deferred annuity. Multiple interest. Variable interest rates.
X week exercises	Application to traffic problems.
XI week lectures	Nominal and effective interest rate. The interests of the various cases of accumulation.
XI week exercises	Examples of application.
XII week lectures	The terminology and concept of depreciation. The classic method of amortization. The modified system of depreciation. Exhaustion.
XII week exercises	Application of the equipment in traffic.
XIII week lectures	The elements of a business plan traffic company.
XIII week exercises	Application of traffic.
XIV week lectures	Economic and financial analysis of investments in traffic.
XIV week exercises	Application of traffic.
XV week lectures	II Colloquium
XV week exercises	II Colloquium

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 2 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises, do colloquiums and final exams.
Consultations	On the day of classes, after classes.
Literature	• Vukčević M. M., Inženjerska ekonomija, Mašinski fakultet, Podgorica, 2012; • Dutina J., Inženjerska ekonomija, Trebinje, 1998; • Dubonjić R., Milanović D., Inženjerska ekonomija, Beograd, 1997.; • Sullivan W., Bontadelli J., Wicks E., Engineering Economy, Prent.
Examination methods	• Class attendance - 5 points; • Two colloquiums with 22.5 points each - 45 points; • Final exam - 50 points. • A passing grade is obtained if at least 50 points are accumulated cumulatively.
Special remarks
Comment	Additional information concerning the course can be given by teacher.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / THEORY OF AUTOMATIC CONTROL

Course:

THEORY OF AUTOMATIC CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
9663	Izborni	5	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / COMPUTER TOOLS

Course:

COMPUTER TOOLS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10114	Obavezan	1	5	3+0+2

Programs	MECHANICAL ENGINEERING
Prerequisites	No requirements.
Aims	The course aims to enable the student to understand the basics of creating algorithms and computer programs, as well as to use Matlab to solve problems in practice.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Understand the logic of programming. 2. Apply an algorithmic approach to solving engineering problems. 3. Use programs for word processing, tables and making presentations. 4. Use Matlab to solve mathematical and engineering problems.
Lecturer / Teaching assistant	Asst. Prof. Nikola Šibalić, PhD; Marko Mumović, MSc
Methodology	Lectures, laboratory exercises, homework, colloquiums and consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Informatics. Terms and definitions. Computer hardware and software.
I week exercises	Computer interface, file extensions, Management of computer processes.
II week lectures	Programming languages. Development of programming languages. Rules of programming languages. Phases of programming. Data presentation. Algorithms.
II week exercises	Computer software in engineering.
III week lectures	Word processing program.
III week exercises	Word processing on the computer.
IV week lectures	A program for processing tables. Program for creating presentations.
IV week exercises	Processing tables on the computer. Making presentations on the computer.
V week lectures	Colloquium I.
V week exercises	Introduction to homework.
VI week lectures	Matlab working environment.
VI week exercises	Work in the Matlab program. Introduction, interface, command window, workspace, variable syntax.
VII week lectures	Application of functions (absolute value, trigonometric functions, exponential, logarithmic,...)
VII week exercises	Working with mathematical functions in Matlab.
VIII week lectures	Programming in Matlab.
VIII week exercises	Commands of the Matlab programming language.
IX week lectures	The data. Data input (scalar, vector, matrix). Access to data. Adding and removing data. Character strings. Functions for working with arrays.
IX week exercises	Data entry and processing in the Matlab programming language (string of numbers and string of characters).
X week lectures	Mathematical operations in Matlab. Solving engineering problems.
X week exercises	Basic calculation operations in Matlab. The rules of linear algebra and the element-by-element principle.
XI week lectures	Charts in Matlab. Graphical presentation of data. Graphical display of functions. Chart formatting.
XI week exercises	Graphical representation of data in Matlab.
XII week lectures	Script file.
XII week exercises	Creating *.m files.
XIII week lectures	Writing and reading data from files.
XIII week exercises	Writing and loading files.
XIV week lectures	Colloquium II.
XIV week exercises	Handing in homework.
XV week lectures	Cycle programming using iterative, eliminatory and logical methods.
XV week exercises	Management during the program (for loop, while loop, if and break statements).

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Regular attendance at lectures and exercises (a maximum of two absences at lectures and two absences at exercises).
Consultations
Literature	1. Lecture material.
Examination methods	Homework 10 points. Two colloquiums of 20 points each. Final exam 50 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING ETHICS

Course:

ENGINEERING ETHICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10116	Obavezan	1	4	2++0

Programs	MECHANICAL ENGINEERING
Prerequisites	no
Aims	To acquaint students with ethical problems in the field of engineering. To develop in students a critical attitude towards the acquisition of knowledge and experience during schooling with the aim of encouraging the values that an engineer should adhere to, faced with moral challenges in all phases of engineering activities.
Learning outcomes	After passing the exam in this subject, students will be able to: • Apply generally accepted basic principles of engineering ethics. • Formulate the importance of an ethical approach in all phases of engineering activities. • Propose technical and legal solutions aimed at the protection and safety of users. • Assess the numerous implications of an unethical approach in the field of engineering. • They build a system that works in accordance with ethical norms when implementing engineering solutions. • They value the importance of critical thinking, intellectual honesty and professional training.
Lecturer / Teaching assistant	prof. dr Zdravko Krivokapić
Methodology	Lectures, exercises, colloquiums

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Ethics. Basic terms. Division.
I week exercises	Ethics. Basic terms. Division.
II week lectures	Applied ethics – utilitarianism, duty ethics and virtue ethics.
II week exercises	Applied ethics – utilitarianism, duty ethics and virtue ethics.
III week lectures	Ethics and social responsibility of engineers.
III week exercises	Ethics and social responsibility of engineers.
IV week lectures	Technical and legal solutions and ethical norms.
IV week exercises	Technical and legal solutions and ethical norms.
V week lectures	The importance of engineering decisions and their impact on the economy, health, safety, environment, prosperity.
V week exercises	The importance of engineering decisions and their impact on the economy, health, safety, environment, prosperity.
VI week lectures	The importance of critical capacity and intellectual honesty of engineers.
VI week exercises	The importance of critical capacity and intellectual honesty of engineers.
VII week lectures	1st colloquium
VII week exercises	1st colloquium
VIII week lectures	Limits of acceptable and unacceptable behavior of engineers.
VIII week exercises	Limits of acceptable and unacceptable behavior of engineers.
IX week lectures	Application and interpretation of acceptance criteria of engineering decisions.
IX week exercises	Application and interpretation of acceptance criteria of engineering decisions.
X week lectures	Ethically problematic situations - examples from engineering practice.
X week exercises	Ethically problematic situations - examples from engineering practice.
XI week lectures	Ensuring a system that operates in accordance with ethical norms.
XI week exercises	Ensuring a system that operates in accordance with ethical norms.
XII week lectures	Encouraging understanding and acceptance of the basic principles of morally justified behavior of engineers.
XII week exercises	Encouraging understanding and acceptance of the basic principles of morally justified behavior of engineers.
XIII week lectures	Drafting of the code of ethics. Examples of engineering codes of ethics.
XIII week exercises	Drafting of the code of ethics. Examples of engineering codes of ethics.
XIV week lectures	Principles of engineers behavior in ethically critical situations.
XIV week exercises	Principles of engineers behavior in ethically critical situations.
XV week lectures	2nd colloquium
XV week exercises	2nd colloquium

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures. Creating a presentation.
Consultations	Mondays and Thursdays from 10 a.m. to 2 p.m
Literature	• Witbeck, C. (2011). Ethics in Engineering Practice and Research. Cambridge University Press • Martin M., Šinanger R. (2011), Etika u inženjersvu, Službeni glasnik, Beograd • Etički kodeks UCG, 2015. • MEST ISO 26000:2012 - Smjernice za društvenu odgovornost
Examination methods	1st and 2nd colloquium 20 points each. Making a presentation 10 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENERGY AND ENVIRONMENT

Course:

ENERGY AND ENVIRONMENT/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10306	Obavezan	2	6	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no preconditions.
Aims	Acquiring knowledge about different sources of energy, their advantages and disadvantages and the impact their use has on the environment.
Learning outcomes	After taking the exam in this course, the student will be able to understand the basic principles of energy and clearly distinguish between renewable and non-renewable energy sources. The student will be able to analyze different energy sources and their impact on the environment, to evaluate the advantages and disadvantages of renewable energy sources and to recognize the importance of energy efficiency and sustainability. Also, the student will be prepared to accept further knowledge about energy and the living environment that he can apply in solving real problems and challenges and to critically evaluate policies and strategies related to these topics.
Lecturer / Teaching assistant	Prof. dr Esad Tombarević, Mr Vidosava Vilotijević
Methodology	Lectures, auditory exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction.
I week exercises	Introduction.
II week lectures	Mechanical energy and work.
II week exercises	Mechanical energy and work.
III week lectures	Hydroenergy.
III week exercises	Hydroenergy.
IV week lectures	Wind energy.
IV week exercises	Wind energy.
V week lectures	Internal energy and heat.
V week exercises	Internal energy and heat.
VI week lectures	Biomass.
VI week exercises	Biomass.
VII week lectures	First colloquium.
VII week exercises	First colloquium.
VIII week lectures	Fossil fuels.
VIII week exercises	Fossil fuels.
IX week lectures	The impact of the use of fossil fuels on the environment.
IX week exercises	The impact of the use of fossil fuels on the environment.
X week lectures	Solar energy.
X week exercises	Solar energy.
XI week lectures	Geothermal energy.
XI week exercises	Geothermal energy.
XII week lectures	Nuclear energy
XII week exercises	Nuclear energy.
XIII week lectures	Transport.
XIII week exercises	Transport.
XIV week lectures	Second colloquium.
XIV week exercises	Second colloquium.
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises and do colloquiums.
Consultations	In accordance with the agreement with the students
Literature	1. Lecture notes. 2. Reza Tossi, Energy and the Environment: Choices and Challenges in a Changing World, Global Digital Press; 4th Edition, 2017.
Examination methods	Two colloquiums of 30 points each and a final exam of 40 points. A passing grade is obtained if a total of min. 51 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINING TECHNOLOGY

Course:

MACHINING TECHNOLOGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10773	Obavezan	4	6	3++2

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no requirements for registering and listening to the subject
Aims	Through this course, students acquire the theoretical and practical foundations of current technologies and production systems.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Explain systems in production engineering, 2. Describe and interpret casting procedures, 3. Define elements of the theory of plasticity, 4. Define and apply deformation processing procedures, 5. Describe and interpret procedures processing of plastic materials, 6. Describe and analyze the elements of the metal cutting processing system, 7. Define the elements of welding technology and 8. Define the parameters of welding procedures.
Lecturer / Teaching assistant	Asst. Prof. Nikola Šibalić, PhD
Methodology	Lectures, computational and laboratory exercises, project work, homework and consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Production design. Systems and processes. Choice of technological process. Automation and computerization of production. Economy.
I week exercises	Classification of technologies. Processing systems. Visit to the laboratory.
II week lectures	Casting. The basics of casting. Metal casting procedures. Casting design. Casting economy.
II week exercises	Examples of casting technology. (Homework).
III week lectures	Metal processing with plastic deformation. Theoretical foundations. The main factors of deformation processing. Methods of solving PPD.
III week exercises	Deformations, yield curve and plasticity parameters. (Laboratory exercise 1 - report).
IV week lectures	Free compression. Forging in molds.
IV week exercises	Free cylinder compaction. (Laboratory exercise 2 - report).
V week lectures	Extrusion. Process analysis. Rolling. Theoretical foundations. Rolling products.
V week exercises	Deformation processing technologies. Examples from free compression, extrusion and rolling. (Homework).
VI week lectures	Drawing out. Theoretical foundations. Bending. Theoretical foundations Application of bending.
VI week exercises	Examples from drawing and bending. (Homework).
VII week lectures	Processing by separating deformation. Machines for PMD. Plastic masses.
VII week exercises	Reception and defense of laboratory reports and homework.
VIII week lectures	The first colloquium.
VIII week exercises	The first colloquium.
IX week lectures	Metal cutting. Basic elements. Quality. Main processing factors.
IX week exercises	Processing by cutting. (Project work 1).
X week lectures	Elements of cutting processing systems. Machine tools. Cutting tools. Economy of cutting.
X week exercises	Production of the finished part, using universal machine tools. (Laboratory exercise 3 - report).
XI week lectures	Metal welding. Basic terms and divisions. Theoretical foundations. Quality and design of welded joints. Welding procedures: Gas and MMAW.
XI week exercises	Production of the finished part, using CNC machines. (Laboratory exercise 4 - report).
XII week lectures	Welding procedures: SAW, Shielding gas welding and Electric resistance welding. Special welding procedures.
XII week exercises	Welding technologies. (Project work 2).
XIII week lectures	Thermal cutting. Special applications of welding and metal plating procedures. Unconventional actions.
XIII week exercises	Conventional and unconventional welding procedures. (Laboratory exercise 5 - report).
XIV week lectures	Visit to the production system.
XIV week exercises	Visit to the production system.
XV week lectures	Defense of project works.
XV week exercises	Defense of project works.

Student workload	The teacher and associate are available to students for consultations after lectures and exercises.
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, and to hand in homework and projects.
Consultations
Literature	[1] Vukčević M., Šibalić N.: Tehnologija mašinske obrade, Univerzitet Crne Gore, Mašinski fakultet, 2017. [2] Vukčević M.M.: Uvod u proizvodne tehnologije I, Izdavački centar, Cetinje, 1994. [3] Vukčević M.M., Bulatović M.: Uvod u proizvodne tehnologije II, CID, Podgorica 1996. [4] Vukčević M.M., Bulatović M.: Uvod u proizvodne tehnologije III, Podgorica 2000. [5] Kalpakjian S., Schmid S.R.: Manufacturing engineering and Technology, Seventh Edition, Pearson Education, 2014.
Examination methods	Homework 3 points. Two projects like 10 points. Five laboratory exercises 15 points. Colloquium 35 points. General activity u sets 2 points. Final exam 35 points. A passing grade is obtained if at least 50 points are accumulated cumulatively.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MODELING OF MACHINE COMPONENTS

Course:

MODELING OF MACHINE COMPONENTS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10775	Obavezan	4	6	2++2

Programs	MECHANICAL ENGINEERING
Prerequisites	No prerequisites for course enrolment and attending
Aims	Getting to know the basic principles of geometric modeling. Mastering the use of computers in modeling the geometry of machine elements and assemblies. Mastering the basics of 3D printing technology.
Learning outcomes	Upon successful completion of this subject the student will be able to: 1. Explain mathematical basis of geometric modeling of curves and surfaces 2. Explain basic principles of method for generating of 3D model of machine parts 3. Explain use of features and parametric modeling for geometric modeling of machine parts 4. Use a CAD software to model machine parts and assemblies 5. Draw engineering drawings of machine parts based on its 3D geometric models 6. Use databases of 3D geometric models of machine parts 7. Use 3D models of machine parts for fabrication by 3D printing. 8. Apply principles of lean management in 3D printing.
Lecturer / Teaching assistant	Prof.dr Janko Jovanović
Methodology	Lectures, exercises, assignments, tests, project, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Role of CAD systems in product design.
I week exercises	Introduction. Role of CAD systems in product design.
II week lectures	Chronology of development of CAD systems.
II week exercises	Chronology of development of CAD systems.
III week lectures	Basics of computer graphics: Gemetric transformations. Homogenous coordinates. Projection and views transformations. Windows and viewports. Transformations of coordination systems.
III week exercises	Basics of computer graphics: Gemetric transformations. Homogenous coordinates. Projection and views transformations. Windows and viewports. Transformations of coordination systems.
IV week lectures	Mathematical basis of geometric modeling of curves: Hermite curve, Bezier curve, Spline, B-spline, NURBS curve.
IV week exercises	Mathematical basis of geometric modeling of curves: Hermite curve, Bezier curve, Spline, B-spline, NURBS curve.
V week lectures	Mathematical basis of geometric modeling of surface: Bicubic polinomial surface, Ferguson surface, Bezier surface, Coons surface, B-spline surface. B-spline rational form of some specific surfaces.
V week exercises	Mathematical basis of geometric modeling of surface: Bicubic polinomial surface, Ferguson surface, Bezier surface, Coons surface, B-spline surface. B-spline rational form of some specific surfaces.
VI week lectures	Standards in computer graphics: Graphical libraries (OpenGL, DirectX). Graphical kernel of CAD software (ACIS, paraSolid, Shape Manager, Granite). Standards for data exchange between CAD software (IGES, STEP, DXF).
VI week exercises	Standards in computer graphics: Graphical libraries (OpenGL, DirectX). Graphical kernel of CAD software (ACIS, paraSolid, Shape Manager, Granite). Standards for data exchange between CAD software (IGES, STEP, DXF).
VII week lectures	1st test
VII week exercises	1st test
VIII week lectures	Solid modeling (wireframe, surface and solid representation of solid body). Boundary representation. Euler operators and operations with Euler operators
VIII week exercises	Solid modeling (wireframe, surface and solid representation of solid body). Boundary representation. Euler operators and operations with Euler operators
IX week lectures	Constructive geometry of body. Half-space and elements of half-spaces. Regularized Boolian operations. Decomposition of body.
IX week exercises	Constructive geometry of body. Half-space and elements of half-spaces. Regularized Boolian operations. Decomposition of body.
X week lectures	Parametric modeling. Direct modeling. Synchronous modeling. Assembly modeling (Sceleton modeling, Bottom Up and Top Down modeling). Engineering drawings based on 3D geometric models of machine parts.
X week exercises	Parametric modeling. Direct modeling. Synchronous modeling. Assembly modeling (Sceleton modeling, Bottom Up and Top Down modeling). Engineering drawings based on 3D geometric models of machine parts.
XI week lectures	Rapid prototyping. 3D printing technologies (FDM, SLA, SLS,...). Materials for FDM and SLA 3D printing.
XI week exercises	Rapid prototyping. 3D printing technologies (FDM, SLA, SLS,...). Materials for FDM and SLA 3D printing.
XII week lectures	Design specifics of parts manufactured by 3D printing. Preparation of 3D model for 3D printing. File formats for 3D printing (STL, G Code...).
XII week exercises	Design specifics of parts manufactured by 3D printing. Preparation of 3D model for 3D printing. File formats for 3D printing (STL, G Code...).
XIII week lectures	Introduction into lean management: the five lean principles, the seven wastes and continuous improvement. 3D printing as a tool for waste minimization.
XIII week exercises	Introduction into lean management: the five lean principles, the seven wastes and continuous improvement. 3D printing as a tool for waste minimization.
XIV week lectures	2nd test
XIV week exercises	2nd test
XV week lectures	Presentation of student projects.
XV week exercises	Presentation of student projects.

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and execises and to finish assignments, project and tests.
Consultations	2 times per week
Literature	[1] M.Jovanović, J.Jovanović: CAD/FEA Praktikum za projektovanje u mašinstvu, Univerzitet Crne Gore, Podgorica, 2000 [2] J.Jovanović: Konstruisanje podržano računarom, Univerzitet Crne Gore – Mašinski fakultet, Podgorica, 2013 [3] K.Lee: Principles of CAD/CAM/CAE systems, Addison-Wesley, 1999 [4] K.H.Chang: e-Design – Computer Aided Engineering Design, Academic Press, 2016.
Examination methods	2 assignments 2x5 = 10 points Project 15 points 2 tests 2x15 = 30 points Final exam 45 points Passing mark is awarded if the student collects at least 50 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROBABILITY AND STATISTICS

Course:

PROBABILITY AND STATISTICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10784	Izborni	5	6	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROFESSIONAL PRACTICE

Course:

PROFESSIONAL PRACTICE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11084	Obavezan	5	2	2++0

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditions
Aims	Getting to know the fields of Construction, Energy or Production Engineering through professional practice that the student performs in a company from one of the aforementioned fields of Mechanical Engineering.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Applications of experience gained through professional practice in solving problems in the field of Construction, Energy or Production Engineering.
Lecturer / Teaching assistant	Prof. dr Mileta Janjić
Methodology	Lectures, Work in the company.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Instructions for the implementation of professional practice in accordance with the Documentation for the implementation of the professional practice program. Instructions for staying and working in the company.
I week exercises
II week lectures	Getting to know the basic characteristics of the company.
II week exercises
III week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
III week exercises
IV week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
IV week exercises
V week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
V week exercises
VI week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
VI week exercises
VII week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
VII week exercises
VIII week lectures	Presentation of the preliminary report
VIII week exercises
IX week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
IX week exercises
X week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
X week exercises
XI week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
XI week exercises
XII week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
XII week exercises
XIII week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
XIII week exercises
XIV week lectures	Stay and work in the company. Keeping a diary of professional practice, in which descriptions of the work performed by the student, observations and conclusions are entered.
XIV week exercises
XV week lectures	Final report
XV week exercises

Student workload
Per week	Per semester
2 credits x 40/30=2 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 0 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 2 hour(s) i 40 minuts x 16 =42 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 2 hour(s) i 40 minuts x 2 =5 hour(s) i 20 minuts Total workload for the subject: 2 x 30=60 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 12 hour(s) i 0 minuts Workload structure: 42 hour(s) i 40 minuts (cources), 5 hour(s) i 20 minuts (preparation), 12 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to listen to lectures, spend 60 working hours on professional practice during the semester in the chosen company and present the Preliminary Report and Defense Final Report.
Consultations	On the day of classes, after classes.
Literature	Professional practice program.
Examination methods	• Presentation of the preliminary report - 30 points • Final report - 70 points. • A passing grade is obtained when the candidate achieves at least 50.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / RENEWABLE ENERGY SOURCES AND ENVIRONMENTAL PROTECT

Course:

RENEWABLE ENERGY SOURCES AND ENVIRONMENTAL PROTECT/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11088	Obavezan	6	5	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no preconditioning.
Aims	The aim of the course is to acquire knowledge about renewable energy sources: hydropower, wind energy, solar energy, geothermal energy and biomass, and protection from their impact on the environment.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Determine the impact of hydropower, wind energy, solar energy, geothermal energy and biomass in the total energy potential, both at the global and local level; 2. Determine the impact of renewable energy sources on the environment.
Lecturer / Teaching assistant	Prof. dr Uroš Karadžić, Prof. dr Esad Tombarević, Mr Vidosava Vilotijević.
Methodology	Lectures, auditory exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Hydropower: types of water hydraulic turbines, characteristics of turbines, hydropower plants.
I week exercises	Hydropower: types of water hydraulic turbines, characteristics of turbines, hydropower plants.
II week lectures	Tidal hydropower plants, wave energy, obtaining energy by osmosis, conversion of thermal energy of the ocean.
II week exercises	Tidal hydropower plants, wave energy, obtaining energy by osmosis, conversion of thermal energy of the ocean.
III week lectures	Wind energy: wind power, wind power, Betzs law, wind turbine, wind turbines.
III week exercises	Wind energy: wind power, wind power, Betzs law, wind turbine, wind turbines.
IV week lectures	Offshore wind farm, floating wind farm, small wind turbine.
IV week exercises	Offshore wind farm, floating wind farm, small wind turbine.
V week lectures	Solar energy: passive solar architecture, solar lighting, solar thermal energy.
V week exercises	Solar energy: passive solar architecture, solar lighting, solar thermal energy.
VI week lectures	First colloquium.
VI week exercises	First colloquium
VII week lectures	Solar electricity, solar photovoltaic energy, solar chemical energy, solar vehicles.
VII week exercises	Solar electricity, solar photovoltaic energy, solar chemical energy, solar vehicles.
VIII week lectures	Characteristics of turbines, development, application and economy.
VIII week exercises	Characteristics of turbines, development, application and economy.
IX week lectures	Geothermal energy: methods of converting geothermal energy into electricity, power plants with dry steam.
IX week exercises	Geothermal energy: methods of converting geothermal energy into electricity, power plants with dry steam.
X week lectures	Geothermal power plants with evaporation. Geothermal power plants with binary cycle.
X week exercises	Geothermal power plants with evaporation. Geothermal power plants with binary cycle.
XI week lectures	Heat exchanger, advanced geothermal systems, geothermal heat pumps.
XI week exercises	Heat exchanger, advanced geothermal systems, geothermal heat pumps.
XII week lectures	Biomass, bioelectric plants, cogeneration, trigeneration, fuel cells, biofuels, bioethanol.
XII week exercises	Biomass, bioelectric plants, cogeneration, trigeneration, fuel cells, biofuels, bioethanol.
XIII week lectures	Bioethanol mixtures, biodiesel, vegetable oil as fuel, biogas, second generation biofuel.
XIII week exercises	Bioethanol mixtures, biodiesel, vegetable oil as fuel, biogas, second generation biofuel.
XIV week lectures	Protection of the environment from the influence of renewable energy sources.
XIV week exercises	Protection of the environment from the influence of renewable energy sources.
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises, to do homework and colloquiums.
Consultations	In accordance with the agreement with the students
Literature	1. Dečan Ivanović, Obnovljivi izvori energije, Građevinski fakultet, Podgorica, 2015. 2. Dragana Štrbac, Branka Gvozdenac, Zorica Mirosavljević, Energija i okruženje, Tehnički fakultet Novi Sad.
Examination methods	2 points for regular attendance at lectures and exercises; two homework assignments are evaluated with 4 points (two points for each homework assignment); two colloquiums of 32 points each (64 points in total); final exam 30 points. A passing grade is obtained when at least 50 points are cumulatively collected.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / BASICS OF HEATING TECHNIQUES

Course:

BASICS OF HEATING TECHNIQUES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11091	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no preconditions.
Aims	Introducing students to the design of central heating and ventilation systems.
Learning outcomes	After taking the exam in this subject, the student will be able to: 1. Calculate the heat losses of the room; 2. Selects appropriate heating elements and accompanying equipment; 3. Defines and sizes the pipe network; 4. Defines and analyzes different heating systems; 5. Defines the regulation of the heating installation.
Lecturer / Teaching assistant	Prof. dr Esad Tombarević, Mr Boris Hrnčić.
Methodology	Lectures, auditory exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory notes, comfort conditions, heat transfer in heated objects.
I week exercises	Introductory notes, comfort conditions, heat transfer in heated objects.
II week lectures	Calculation of heat losses of buildings.
II week exercises	Calculation of heat losses of buildings.
III week lectures	Heat emission: types, calculation, sizing.
III week exercises	Heat emission: types, calculation, sizing.
IV week lectures	Heat sources: boilers, heat pumps, fittings.
IV week exercises	Heat sources: boilers, heat pumps, fittings.
V week lectures	Boiler rooms and fuel consumption in the heating season.
V week exercises	Boiler rooms and fuel consumption in the heating season.
VI week lectures	Basic hydrodynamic equation of the hydronic heating network, dimensioning of the pipe network
VI week exercises	Basic hydrodynamic equation of the hydronic heating network, dimensioning of the pipe network
VII week lectures	First colloquium.
VII week exercises	First colloquium.
VIII week lectures	Gravity and pump hydronic heating systems.
VIII week exercises	Gravity and pump hydronic heating systems.
IX week lectures	Two-pipe hydronic heating system.
IX week exercises	Two-pipe hydronic heating system.
X week lectures	Single-pipe hydronic heating system.
X week exercises	Single-pipe hydronic heating system.
XI week lectures	Underfloor and ceiling heating.
XI week exercises	Underfloor and ceiling heating.
XII week lectures	Steam heating.
XII week exercises	Steam heating.
XIII week lectures	Regulation of the operation of the heating installation.
XIII week exercises	Regulation of the operation of the heating installation.
XIV week lectures	Second colloquium.
XIV week exercises	Second colloquium.
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises, do the project assignment and do colloquiums.
Consultations	In accordance with the agreement with the students.
Literature	1. Branislav Todorovic, Projektovanje postrojenja za centralno grijanje, Mašinski fakultet Beograd, 2005. 2. Nenad Kažić, Skripte za predmet Grijanje, Podgorica, 2014.
Examination methods	Two colloquiums of 20 points each, a project assignment of 20 points and a final exam of 40 points. Passing grade is obtained if a total of min. 50 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / BASICS OF COOLING TECHNIQUES

Course:

BASICS OF COOLING TECHNIQUES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11092	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no prerequisites.
Aims	Acquaintance of students with the principles of operation of cooling devices, types and methods of designing cooling systems for the needs of the process industry.
Learning outcomes	After taking the exam in this subject, the student will be able to: 1. Understands and calculates the process of diffusion of water vapor in the walls of the building and cold/freezing room; 2. Calculates the thermal load of the cold/freezing room; 3. Understands ways of achieving the cooling effect (compressor, absorption, thermoelectric, ejector cooling); 4. Knows the principle of operation of the basic elements of the cooling device (compressor, evaporator, condenser, throttle valve). 5. Understands the principle of operation of the cooling tower.
Lecturer / Teaching assistant	Prof. dr Esad Tombarević, Mr Boris Hrnčić
Methodology	Lectures, auditory exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory notes, history and application of cooling devices.
I week exercises	Introductory notes, history and application of cooling devices.
II week lectures	Fundamentals of the phenomenon of transport; heat transfer, mass transfer.
II week exercises	Fundamentals of the phenomenon of transport; heat transfer, mass transfer.
III week lectures	Insulation of a cold/freezing room; role of insulation; calculation.
III week exercises	Insulation of a cold/freezing room; role of insulation; calculation.
IV week lectures	Heat gains of the cold/freezing room.
IV week exercises	Heat gains of the cold/freezing room.
V week lectures	Ways of achieving the cooling effect. Vapor compression systems. The Joule Thompson effect.
V week exercises	Ways of achieving the cooling effect. Vapor compression systems. The Joule Thompson effect.
VI week lectures	Refrigeration cycle improvements: condensate subcooling, multi-stage compression and expansion, multi-evaporator installation, cascade coupling.
VI week exercises	Refrigeration cycle improvements: condensate subcooling, multi-stage compression and expansion, multi-evaporator installation, cascade coupling.
VII week lectures	First colloquium.
VII week exercises	First colloquium.
VIII week lectures	Refrigerants.
VIII week exercises	Refrigerants.
IX week lectures	Compressors.
IX week exercises	Compressors.
X week lectures	Evaporators and condensers.
X week exercises	Evaporator and condensers.
XI week lectures	Throttling devices: capillary tube and expansion valves.
XI week exercises	Throttling devices: capillary tube and expansion valves.
XII week lectures	Cooling towers.
XII week exercises	Cooling towers.
XIII week lectures	Absorption, ejector and thermoelectric cooling devices.
XIII week exercises	Absorption, ejector and thermoelectric cooling devices.
XIV week lectures	Second colloquium.
XIV week exercises	Second colloquium.
XV week lectures
XV week exercises

Student workload	Students are required to attend classes and exercises and do colloquiums.
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes and exercises and do colloquiums.
Consultations	In accordance with the agreement with the students.
Literature	1. Mile Markoski, Rashladni uređaji, Mašinski fakultet Beograd, 2013. 2. Nenad Kažić, Rashladni uređaji, skripte. 3. John Tomczyk et al., Refrigeration and Air Conditioning Technology, 8th edition, Cengage Learning, 2016.
Examination methods	Two homework assignments of 5 points each, two colloquiums of 25 points each, a project assignment and a final exam of 40 points. A passing grade is obtained if a total of min. 50 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / VEHICLE PROPULSION SYSTEM

Course:

VEHICLE PROPULSION SYSTEM/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11095	Obavezan	6	5	3+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	Mechanical elements 2 and Mechanisms and dynamics of machines
Aims	Getting to know mobile propulsion systems, propulsion units and their dynamic characteristics
Learning outcomes	After passing the exam in this subject, students will be able to: 1. They analyze the components and concept of mobile drive systems, 2. They know power units and the flow of power to the drive wheels, 3. They consider the influence of the choice of drive on the dynamic characteristics of the vehicle, 4. They compare conventional and alternative mobile drives
Lecturer / Teaching assistant	Vladimir Pajković Marko Lučić
Methodology	lectures, exercises, colloquiums, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Classification of mobile drive systems. History of development. Conceptual solutions.
I week exercises	Classification of mobile drive systems. History of development. Conceptual solutions.
II week lectures	Conventional power unit - IC engine. The working principle. Conventional fuels and lubricants.
II week exercises	Conventional power unit - IC engine. The working principle. Conventional fuels and lubricants.
III week lectures	Combustion in IC engines. Engine operating modes. Driving and exploitation characteristics of the IC engine.
III week exercises	Combustion in IC engines. Engine operating modes. Driving and exploitation characteristics of the IC engine.
IV week lectures	Auxiliary devices and systems. Indicators of ecological and energy efficiency of IC engines.
IV week exercises	Auxiliary devices and systems. Indicators of ecological and energy efficiency of IC engines.
V week lectures	Transmission of power from the engine to the wheels (main clutch, gearbox, articulated gears).
V week exercises	Transmission of power from the engine to the wheels (main clutch, gearbox, articulated gears).
VI week lectures	Transmission of power from the engine to the wheels (drive axles, differential, half-shafts).
VI week exercises	Transmission of power from the engine to the wheels (drive axles, differential, half-shafts).
VII week lectures	Colloquium I
VII week exercises	Colloquium I
VIII week lectures	Wheel rolling dynamics. Resistance to vehicle movement.
VIII week exercises	Wheel rolling dynamics. Resistance to vehicle movement.
IX week lectures	Traction-speed characteristics of the vehicle.
IX week exercises	Traction-speed characteristics of the vehicle.
X week lectures	Hybrid drive systems – drive configuration (series and parallel hybrids).
X week exercises	Hybrid drive systems – drive configuration (series and parallel hybrids).
XI week lectures	Hybrid drive performance.
XI week exercises	Hybrid drive performance.
XII week lectures	Electric drive systems - configuration, performance.
XII week exercises	Electric drive systems - configuration, performance.
XIII week lectures	Colloquium II
XIII week exercises	Colloquium II
XIV week lectures	Optimization of drive systems. Alternative solutions of mobile drives.
XIV week exercises	Optimization of drive systems. Alternative solutions of mobile drives.
XV week lectures	Colloquium I or II
XV week exercises	Colloquium I or II

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises, and take colloquiums.
Consultations	Office 426
Literature	[1] Mashadi, B., Crolla D.: Vehicle Powertrain Systems, John Wiley & Sons, Ltd., 2012. [2] Davinić, A., Pešić, R.: Pogonski sistemi u transportu, Fakultet inženjerskih nauka Univerziteta u Kragujevcu, 2018. [3] Ehsani, M., Gao, Y., Emadi, A.: Modern Electric, Hibrid Electric and Fuel Cell Vehicles, CRC Press, 2010.
Examination methods	Colloquium: 2 x 25 = 50 points Final exam: 50 points A passing grade is obtained if at least 50 points are accumulated cumulatively
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / FRACTURE MECHANICS AND INTEGRITY OF CONSTRUCTION

Course:

FRACTURE MECHANICS AND INTEGRITY OF CONSTRUCTION/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11097	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditionality
Aims	Acquiring basic knowledge about the procedures for analysis and assessment of load capacity and safety of elements and structures weakened by cracks, as well as procedures for preventing fractures and breakdowns in exploitation.
Learning outcomes	After passing the exam from this subject, students will be able to: 1. Recognize various forms of damage and breakage of elements and structures during exploitation. 2. Understand models of crack initiation and growth and ultimate failure in brittle and quasi-brittle metallic materials. 3. They evaluate the remaining bearing capacity of machine elements weakened by cracks. 4. They define the critical crack sizes that can be tolerated. 5. They estimate the service life from the point of view of the fatigue crack growth rate with simplified changes. 6. To consider the possible consequences that may occur in case of bad solutions.
Lecturer / Teaching assistant	Prof. Darko Bajić, Full professor
Methodology	Lectures, Seminary work, Consultations, Homework assignment, Tests.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Accidents and broken construction. Mechanisms of crack growth and fracture. The subject of fracture mechanics.
I week exercises	Examples of construction fractures.
II week lectures	Basic equations of elasticity theory. Eries stress function. Complex stress function.
II week exercises	Analytical solving of problems. Task 1.
III week lectures	Stresses and deformations in the vicinity of the crack tip.
III week exercises	Analytical solving of problems. Tasks 2 and 3.
IV week lectures	Elastic and elasto-plastic fracture mechanics.
IV week exercises	Analytical solving of problems. Tasks 4 and 5.
V week lectures	The parameters of fracture mechanics. The stress intensity factor, K. J integral.
V week exercises	Analytical solving of problems. Tasks 6 and 7.
VI week lectures	The influence of finite dimensions on the K-factor. Methods of determining the K-factor.
VI week exercises	Analytical solving of problems. Tasks 8, 9 and 10.
VII week lectures	The plastic zone at the top of the crack. The influence of thickness. The Irvine and Dugdell models.
VII week exercises	Test I
VIII week lectures	The K-factor as a brittle fracture parameter. Diagram of residual strength.
VIII week exercises	Analytical solving of problems. Tasks 11, 12 and 13.
IX week lectures	Fracture toughness at a flat deformation state, Kic. Influential factors.
IX week exercises	Analytical solving of problems. Tasks 14, 15 and 16.
X week lectures	Energy balance during crack growth. The rate of energy release.
X week exercises	Analytical solving of problems. Tasks 17, 18 and 19.
XI week lectures	R-curve of resistance. A condition for the appearance and stable growth of cracks. Limitations of the application of EPML.
XI week exercises	Analytical solving of problems. Tasks 20 and 21.
XII week lectures	Crack growth rate as a function of K-factor range. Empirical expressions.
XII week exercises	Analytical solving of problems. Tasks 22 and 23.
XIII week lectures	Assessments in the domain of elasticity and elasto-plasticity.
XIII week exercises	Analytical solving of problems. Task 24.
XIV week lectures	Welded joint as the place of crack formation. Integrity of welded structures.
XIV week exercises	Analytical solving of problems. Task 25.
XV week lectures	Standard tests for material characterization.
XV week exercises	Test II

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises and do homework and colloquiums.
Consultations	2 times per week
Literature	1. V. Ćulafić: Uvod u mehaniku loma, Univerzitet Crne Gore, 1999. 2. A. Sedmak: Primena mehnike loma na procenu integriteta konstrukcija, monografija Mašinski fakultet, Beograd, 2003.
Examination methods	Class attendance: 2 points Submitted project assignment: 7 points Colloquiums: 2 x 20 = 40 points Final exam: 51 points (written eliminatory and oral) A passing grade is obtained if at least 50 points are cumulatively collected.
Special remarks	The final exam is written oral.
Comment	Additional information in the room 418 or darko@ucg.ac.me

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROCESSING BY CUTTING

Course:

PROCESSING BY CUTTING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11099	Obavezan	6	5	3+1+1

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / METAL FORMING

Course:

METAL FORMING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11100	Obavezan	6	5	3+1+1

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditions
Aims	The subject aims to provide students with necessary engineering knowledge of the theoretical basis for metal forming, projecting of tchnologies, and machines, which are used in metal forming
Learning outcomes	After the student has completed the exam will be able to: 1. Knows theoretical basis of strain, nominal and actual strains, strength curves, strain rates and velocity of deformation. 2. Knows the dependence of yield stress vs. significant factors. 3. Knows how to calculate the deformation force and deformation work. 4. Knows the theory of stress, strain theories and hypotheses about the plastic flow and their comparison. 5. Knows the rolling process, the theory of rolling, contact friction, the parameters of the deformation zone of rolling, medium pressure on the rollers, impacts on the process of rolling, spreading pieces during rolling, rolling torques. 6. Knows the processes of bulk forming, forging and upseting. 7. Knows forging processes such as stabbing and extrusion. 8. Knows the bulk forming in open dies. 9. Knows the processes of cutting, processes of bending and deep drawing processes. 10. Knows the structure, principles of operation and utilization of machinery for metal forming.
Lecturer / Teaching assistant	Prof. dr Mileta Janjić
Methodology	Lectures, exercises, laboratory exercises

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic settings of strain. Nominalni and real stress. The yield stress curves. The changes of mechanical properties. Strain rate and velocity of deformation.
I week exercises	Determination of nominal and real stresses and strength curves.
II week lectures	Dependence of the specific deformation resistance. Deformation forces and work. Contact friction.
II week exercises	Determination of strain rate and velocity of deformation.
III week lectures	Theory of stresses.
III week exercises	Solving tasks from the theory of stresses.
IV week lectures	The theory of strain. Hypotheses about the plastic flow and their comparison.
IV week exercises	Solving tasks from the theory of strains.
V week lectures	Rolling processes. The theory of rolling. Contact friction. Solutions of differential equations.
V week exercises	Solving tasks with hypotheses about plastic flow.
VI week lectures	The parameters of the deformation zone of rolling. Medium pressure on rollers. Impacts on the rolling process. Spreading pieces during rolling. Rolling torques.
VI week exercises	Determination of the stresses in the zone of deformation, medium pressure to the rolls, spreading pieces during rolling and rolling torques.
VII week lectures	I Colloquium.
VII week exercises	I Colloquium.
VIII week lectures	The processes of bulk forming.
VIII week exercises	Solving tasks of bulk metal forming processes.
IX week lectures	Forging. Upsetting.
IX week exercises	Solving tasks of forging and upsetting.
X week lectures	The stabbing. Extrusion. Bulk metal forming in open dies.
X week exercises	Solving the tasks of stabbing the extrusion.
XI week lectures	The process of cutting.
XI week exercises	Solving the tasks of bulk forming in open dies.
XII week lectures	The bending process.
XII week exercises	Solving the tasks of cutting metal.
XIII week lectures	Deep drawing processes.
XIII week exercises	Solving tasks in bending.
XIV week lectures	Machines for metal forming.
XIV week exercises	Solving tasks in deep drawing. Determination of the required characteristics of machines for metal forming.
XV week lectures	II Colloquium.
XV week exercises	II Colloquium.

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures, exercises, do project tasks and colloquiums.
Consultations	On the day of classes, after classes.
Literature	• B. Musafija: Primijenjena teorija plastičnosti, I dio. Univerzitet u Sarajevu, Sarajevo, 1973. • B. Musafija: Obrada metala plastičnom deformacijom. Svjetlost, Sarajevo, 1972. • M. Čaušević: Obrada metala valjanjem. "Veselin Masleša", Sarajevo, 1983. • M. Janjić: Istraživanje naponsko deformacionih parametara u procesima zapreminskog deformisanja. Univerzitet Crne Gore - Mašinski fakultet, Podgorica, 2008.
Examination methods	• Attendance - 4 points; • Four project tasks of 4 points each - 16 points; • Two colloquiums with 20 points each - 40 points; • Final exam - 40 points. • A passing grade is obtained if at least 50 points are accumulated cumulatively.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / CAD/CAM SISTEMI

Course:

CAD/CAM SISTEMI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11101	Obavezan	6	4	2++2

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims	Acquisition of theoretical and practical knowledge when using modern CAD/CAM systems.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Apply fundamental knowledge in the field of geometric product modeling. 2. Perform product design using modern software tools. 3. They will be able to define the choice of technology. 4. Generate a program for creating a workpiece. 5. Describe and explain CNC machines, as well as the principles of operation.
Lecturer / Teaching assistant	Asst. Prof. Nikola Šibalić, PhD
Methodology	Lectures, laboratory exercises, consultations and preparation of the test report.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Application of CAD/CAM system.
I week exercises	Introduction. Application of CAD/CAM system.
II week lectures	The design process and the role of CAD.
II week exercises	The design process and the role of CAD.
III week lectures	Parametric modeling and shape definition.
III week exercises	Parametric modeling and shape definition.
IV week lectures	Techniques for geometric modeling. Surface and volume modeling.
IV week exercises	Techniques for geometric modeling. Surface and volume modeling.
V week lectures	Designing simple objects. Creating three-dimensional objects by rotating the cross-section.
V week exercises	Designing simple objects. Creating three-dimensional objects by rotating the cross-section.
VI week lectures	Colloquium I.
VI week exercises	Colloquium I.
VII week lectures	Remedial colloquium I.
VII week exercises	Remedial colloquium I.
VIII week lectures	Designing complex objects. Creating coils and spirals.
VIII week exercises	Designing complex objects. Creating coils and spirals.
IX week lectures	Creation of dimensioned technical drawings.
IX week exercises	Creation of dimensioned technical drawings.
X week lectures	Creation and production of assemblies and sub-assemblies.
X week exercises	Creation and production of assemblies and sub-assemblies.
XI week lectures	3D digitization. Digitizing devices.
XI week exercises	3D digitization. Digitizing devices.
XII week lectures	Definition and selection of general production parameters. Types of technological operations.
XII week exercises	Definition and selection of general production parameters. Types of technological operations.
XIII week lectures	Creation of technological operations and post-processing.
XIII week exercises	Creation of technological operations and post-processing.
XIV week lectures	CNC - machines, principle of operation. Integration of product design and manufacturing processes.
XIV week exercises	CNC - machines, principle of operation. Integration of product design and manufacturing processes.
XV week lectures	Application of conventional languages for programming CNC machines.
XV week exercises	Application of conventional languages for programming CNC machines.

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures and laboratory exercises. Project work done. Colloquium passed.
Consultations
Literature	[1] Predavanja u elektronskom obliku. [2] R. Toogood: Pro/Engineer wildfire 3.0, Kompjuter biblioteka, 2007. [3] Creo, manuel, 2015. [4] Cris Mc Mahon: CADCAM, Addison Wesley, 1998.
Examination methods	Project work 30 points. Colloquium 30 points. Final exam 40 points, written/oral.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / CAD/CAM SISTEMI

Course:

CAD/CAM SISTEMI/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11101	Obavezan	6	4	2++2

Programs	MECHANICAL ENGINEERING
Prerequisites
Aims	Acquisition of theoretical and practical knowledge when using modern CAD/CAM systems.
Learning outcomes	After passing the exam in this subject, students will be able to: 1. Apply fundamental knowledge in the field of geometric product modeling. 2. Perform product design using modern software tools. 3. They will be able to define the choice of technology. 4. Generate a program for creating a workpiece. 5. Describe and explain CNC machines, as well as the principles of operation.
Lecturer / Teaching assistant	Asst. Prof. Nikola Šibalić, PhD
Methodology	Lectures, laboratory exercises, consultations and preparation of the test report.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Application of CAD/CAM system.
I week exercises	Introduction. Application of CAD/CAM system.
II week lectures	The design process and the role of CAD.
II week exercises	The design process and the role of CAD.
III week lectures	Parametric modeling and shape definition.
III week exercises	Parametric modeling and shape definition.
IV week lectures	Techniques for geometric modeling. Surface and volume modeling.
IV week exercises	Techniques for geometric modeling. Surface and volume modeling.
V week lectures	Designing simple objects. Creating three-dimensional objects by rotating the cross-section.
V week exercises	Designing simple objects. Creating three-dimensional objects by rotating the cross-section.
VI week lectures	Colloquium I.
VI week exercises	Colloquium I.
VII week lectures	Remedial colloquium I.
VII week exercises	Remedial colloquium I.
VIII week lectures	Designing complex objects. Creating coils and spirals.
VIII week exercises	Designing complex objects. Creating coils and spirals.
IX week lectures	Creation of dimensioned technical drawings.
IX week exercises	Creation of dimensioned technical drawings.
X week lectures	Creation and production of assemblies and sub-assemblies.
X week exercises	Creation and production of assemblies and sub-assemblies.
XI week lectures	3D digitization. Digitizing devices.
XI week exercises	3D digitization. Digitizing devices.
XII week lectures	Definition and selection of general production parameters. Types of technological operations.
XII week exercises	Definition and selection of general production parameters. Types of technological operations.
XIII week lectures	Creation of technological operations and post-processing.
XIII week exercises	Creation of technological operations and post-processing.
XIV week lectures	CNC - machines, principle of operation. Integration of product design and manufacturing processes.
XIV week exercises	CNC - machines, principle of operation. Integration of product design and manufacturing processes.
XV week lectures	Application of conventional languages for programming CNC machines.
XV week exercises	Application of conventional languages for programming CNC machines.

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures and laboratory exercises. Project work done. Colloquium passed.
Consultations
Literature	[1] Predavanja u elektronskom obliku. [2] R. Toogood: Pro/Engineer wildfire 3.0, Kompjuter biblioteka, 2007. [3] Creo, manuel, 2015. [4] Cris Mc Mahon: CADCAM, Addison Wesley, 1998.
Examination methods	Project work 30 points. Colloquium 30 points. Final exam 40 points, written/oral.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / POSTUPCI ZAVARIVANJA

Course:

POSTUPCI ZAVARIVANJA/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11103	Obavezan	6	4	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No conditionality
Aims	On completion of this course, students should be acquire basic knowledge of welding process, filler materials, types of errors and control of welded joints.
Learning outcomes	After student finishes with this course, he will be able to: 1. Sort extra materials according to the welding procedure. 2. Explain physics of electric arc. 3. Recognize welding processes and define its area of application. 4. Choose welding technique for exact weld and welding process. 5. Recognize and explain mistakes in welded joints. 6. Differ methods for testing and control of welded joints without destruction.
Lecturer / Teaching assistant	Prof. Darko Bajić, Full professor
Methodology	Lectures, Seminary work, Consultations, Homework assignment, Tests.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction.
I week exercises	Types of welded joints, types of grooves, weldability.
II week lectures	Filler and auxiliary materials for welding; shielding gases.
II week exercises	Filler and auxiliary materials for welding; shielding gases.
III week lectures	Oxy-acetylene welding.
III week exercises	Oxy-acetylene welding - practical exercise.
IV week lectures	Arc welding – arc.
IV week exercises	Arc - practical exercise.
V week lectures	Manual Metal Arc Welding – MMA.
V week exercises	Manual Metal Arc Welding (MMA) - practical exercise.
VI week lectures	Gas Tungsten Arc Welding – GTAW / AGTAW.
VI week exercises	Gas Tungsten Arc Welding (GTAW/AGTAW) - practical exercise.
VII week lectures	Gas Tungsten Arc Welding – GTAW / AGTAW / TIP TIG.
VII week exercises	The first test.
VIII week lectures	Gas Metal Arc Welding (GMAW) – Metal Inert Gas (MIG)/ Metal Active Gas (MAG).
VIII week exercises	Gas Metal Arc Welding (GMAW) – Metal Inert Gas (MIG) - practical exercise.
IX week lectures	Gas Metal Arc Welding (GMAW) – Metal Inert Gas (MIG)/ Metal Active Gas (MAG).
IX week exercises	Gas Metal Arc Welding (GMAW) – Metal Active Gas (MAG) - practical exercise.
X week lectures	Submerged arc welding; resistance welding.
X week exercises	Submerged arc welding - practical exercise.
XI week lectures	FSW welding.
XI week exercises	FSW welding - practical exercises.
XII week lectures	Consumable Guide Enclosed Arc Welding – CGEAW.
XII week exercises	CGEAW welding - practical exercises.
XIII week lectures	Other welding processes.
XIII week exercises	Explosive welding - practical exercises.
XIV week lectures	Errors in welded joints. Nondestructive testing of welded joints.
XIV week exercises	The second test.
XV week lectures	Review of seminar works.
XV week exercises	Final exam.

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attending lectures and exercises, making homework and colloquiums.
Consultations	2 times per week
Literature	D. Bajić: Postupci zavarivanja, Mašinski fakultet, Podgorica, 2014.
Examination methods	Class attendance: 2 points Project: 10 points Two tests: 2 x 19 = 38 points Final exam: 50 points. Passing grade gets if both of the tests take min. 50% (≥9.5 points) and cumulatively collect at least 50 points.
Special remarks	Final exam is written oral.
Comment	Additional information in the room 418 or darko@ucg.ac.me

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGLISH LANGUAGE II -GENERAL

Course:

ENGLISH LANGUAGE II -GENERAL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11595	Obavezan	4	0	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	There are no prerequisites for taking this course.
Aims	Actively using English language in everyday situations at level B2.1. Acquisition of basic vocabulary related to their future profession.
Learning outcomes	After passing the exam, the student should be able to: Achieve successful communication in English, using appropriate register and correct vocabulary and grammar at the given level of learning. Enrich their vocabulary in the fields of mechanical engineering and road traffic. Use individual words , appropriate collocations, phrases, and idioms in context. Make complex sentences using common compound words and fixed expressions in academic language, as well as in the language of their profession. Understand and use dependent clauses and passive structures in reporting. Learn the difference between neutral and marked words, technical and semi-technical terms; Learn how to express attitudes about different situations, and how to express the degree of confidence in other peoples claims. Learn to make a bibliography list used in research.
Lecturer / Teaching assistant	doc dr. Sanja Ćetković, Savo Kostić
Methodology	Lectures, practice, consultations, presentations, homework.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Unit 1: The Future of Cars: Battery Power-listening and speaking; Compound nouns; Fixed phrases for mechanical engineering
I week exercises
II week lectures	Unit 1: Car technologies: internal combustion engine, electric motors and hybrids; fixed phrases for academic English; understanding speaker’s emphasis; asking for clarification
II week exercises
III week lectures	Unit 2: Engineering and Sustainability: reading and writing; Understanding dependent clauses with passives
III week exercises
IV week lectures	Unit 2: Synonyms; Nouns from verbs; Common “direction” verbs in essay titles (discuss, analyse, evaluate, etc.)
IV week exercises
V week lectures	Unit 3: Health and Safety: Listening and speaking; Safety Regulations; fixed phrases from health and safety.
V week exercises
VI week lectures	Unit 3: Oil rig disasters: case study; Rail accident; fixed phrases from academic English; Using the Cornell note-taking system.
VI week exercises
VII week lectures	Revision
VII week exercises	Revision
VIII week lectures	Midterm Exam
VIII week exercises
IX week lectures	Unit 4: Accident Analysis in Construction: reading and writing; Neutral and marked words.
IX week exercises
X week lectures	Unit 4: Case study: Hyatt Regency Hotel Collapse: reading; technical and semi-technical words from engineering; inferring implicit ideas.
X week exercises
XI week lectures	Unit 5: Water engineering; Desalination by reverse osmosis; reading, discussion.
XI week exercises
XII week lectures	Unit 5: Linking ideas in a text; Using pronouns to refer back in a text. Text Cohesion.
XII week exercises
XIII week lectures	Unit 5: Understanding technical terms; reading: Water engineering association; Vocabulary building.
XIII week exercises
XIV week lectures	Revision
XIV week exercises
XV week lectures	Final exam
XV week exercises

Student workload
Per week	Per semester
0 credits x 40/30=0 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises -4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 0 hour(s) i 0 minuts x 16 =0 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 0 hour(s) i 0 minuts x 2 =0 hour(s) i 0 minuts Total workload for the subject: 0 x 30=0 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 0 hour(s) i 0 minuts Workload structure: 0 hour(s) i 0 minuts (cources), 0 hour(s) i 0 minuts (preparation), 0 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, take midterm and final exams. The teachers may also assign other tasks such as homework, presentations, etc.
Consultations	Consultations are scheduled at a time agreed upon with the students.
Literature	English for Mechanical Engineering in Higher Education Studiees by Marian Dunn, David Howey, Amanda Ilic; Garnet Publishing Ltd., UK, 2010. Englesko-srpski tehnički rječnik, Jelica V. Marković Tehnički rečnik, englesko-srpski -available online
Examination methods	Midterm exam: up to 40 points Attendance and active participation in classes: up to 10 points Final exam: up to 50 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGLISH LANGUAGE III - PROFESSIONAL

Course:

ENGLISH LANGUAGE III - PROFESSIONAL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11597	Obavezan	5	0	2+2+0

Programs	MECHANICAL ENGINEERING
Prerequisites	No prerequisites, but it is beneficial if students have language skills at level B 2.3 in order to follow this course.
Aims	Acquiring new terminology in the field of mechanical engineering; mastering advanced grammatical and lexical structures; active use of the language on professional and general topics.
Learning outcomes	After passing the exam, the student will be able to: - distinguish, understand and use terminology from the language of the profession at level C1.1, - understand the messages of popular-professional texts in the field of chemical technology, as well as general texts, in English, at level C1. 1, - achieve independent oral and written communication in English at the C1.1 level, - integrate basic language and grammatical structures to express and explain their ideas through various speaking skills, at the C1.1 level."
Lecturer / Teaching assistant	Dragana Čarapić, PhD
Methodology	A short introduction to the appropriate language content, with maximum participation of students in various types of written and oral exercises; independently, in pairs, in a group; discussions

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	ESP: Engineering – What is it all about?
I week exercises	GE: Home and away - reading comprehension
II week lectures	ESP: Choosing a course
II week exercises	GE: The Tense system; compounds
III week lectures	ESP: Engineering materials
III week exercises	GE: Been there, Got the T-shirt - reading comprehension
IV week lectures	ESP: Mechanisms
IV week exercises	GE: Present Perfect Simple and Continuous; Verbs make&do
V week lectures	ESP: Forces in engineering
V week exercises	GE: News and Views - reading comprehension
VI week lectures	ESP: The electric motor
VI week exercises	GE: Narrative tenses
VII week lectures	Revision
VII week exercises	Mid-term exam
VIII week lectures	ESP: An engineering student
VIII week exercises	GE: The Naked Truth - reading comprehension
IX week lectures	ESP: Central heating
IX week exercises	GE: Prefixes, negatives, antonyms in context
X week lectures	Re-medial mid-term exam
X week exercises	GE: Looking ahead - reading comprehension
XI week lectures	ESP: Young engineer
XI week exercises	GE: Future forms, verbs take&put
XII week lectures	ESP: Safety at work
XII week exercises	GE: Hitting the big time - reading comprehension
XIII week lectures	ESP: Washing machine
XIII week exercises	GE: Expressing quantity
XIV week lectures	ESP: Racing bicycle
XIV week exercises	GE: Stop & Check
XV week lectures	ESP: Stop & Check
XV week exercises	Mock test - Final exam

Student workload	Weekly 2 credits x 40/30 = 2 hours and 40 minutes Structure: 1 hour of lectures 1 hour of exercises 0 hours and 40 minutes of individual student work (preparation for laboratory exercises, colloquiums, doing homework) including consultations
Per week	Per semester
0 credits x 40/30=0 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises -4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 0 hour(s) i 0 minuts x 16 =0 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 0 hour(s) i 0 minuts x 2 =0 hour(s) i 0 minuts Total workload for the subject: 0 x 30=0 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 0 hour(s) i 0 minuts Workload structure: 0 hour(s) i 0 minuts (cources), 0 hour(s) i 0 minuts (preparation), 0 hour(s) i 0 minuts (additional work)
Student obligations	Attending classes and writing the colloquium and final exam. The teacher can determine other obligations in the form of homework, presentations, etc.
Consultations
Literature
Examination methods	attendance - 5 points; presentations - 10 points; colloquium – 35 points; final exam - 50 points
Special remarks	E-mail: draganac@ucg.ac.me
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Accesibility Adjustments

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STATICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS I

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINE MATERIALS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / KINEMATICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STRENGTH OF MATERIALS I

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STRENGTH OF MATERIALS II

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / DYNAMICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS II

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PHYSICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / THERMODYNAMICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / FLUID MECHANICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING MEASUREMENTS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROCESSING BY CUTTING

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / TOOLS AND ACCESSORIES

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ELECTRICAL ENGINEERING

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MECHANISMS AND DYNAMICS OF MACHINES

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING GRAPHICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS III

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINE ELEMENTS I

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MATHEMATICS IV

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINE ELEMENTS II

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / OSCILLATIONS IN MECHANICAL ENGINEERING

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / STRENGTH OF CONSTRUCTIONS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / RELIABILITY

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / APPLIED THERMODYNAMICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / APPLIED FLUID MECHANICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MAINTENANCE

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGLISH LANGUAGE I -GENERAL I

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / RUSSIAN LANGUAGE III -ESP I

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / OPERATIONAL RESEARCHES

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING DESIGN

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING ECONOMY

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / THEORY OF AUTOMATIC CONTROL

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / COMPUTER TOOLS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGINEERING ETHICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENERGY AND ENVIRONMENT

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MACHINING TECHNOLOGY

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / MODELING OF MACHINE COMPONENTS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROBABILITY AND STATISTICS

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROFESSIONAL PRACTICE

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / RENEWABLE ENERGY SOURCES AND ENVIRONMENTAL PROTECT

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / BASICS OF HEATING TECHNIQUES

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / BASICS OF COOLING TECHNIQUES

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / VEHICLE PROPULSION SYSTEM

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / FRACTURE MECHANICS AND INTEGRITY OF CONSTRUCTION

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / PROCESSING BY CUTTING

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / METAL FORMING

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / CAD/CAM SISTEMI

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / CAD/CAM SISTEMI

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / POSTUPCI ZAVARIVANJA

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGLISH LANGUAGE II -GENERAL

Faculty of Mechanical Engineering / MECHANICAL ENGINEERING / ENGLISH LANGUAGE III - PROFESSIONAL