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Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / GEOMETRY

Course:GEOMETRY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12061Obavezan153+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / RANDOM PROCESSES

Course:RANDOM PROCESSES/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12062Obavezan153+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / METHODS OF OPTIMIZATION

Course:METHODS OF OPTIMIZATION/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12063Obavezan153+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / PHYSICS

Course:PHYSICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12066Obavezan152+2+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites No prerequisites
Aims Getting to know the basic laws of physics that apply at the level of atoms and their nuclei
Learning outcomes Upon completion of this course, the student will be able to: 1. know how to solve the simplest examples of the one-dimensional Schrödinger equation 2. understand the statistical interpretation of the wave function and measurements 3. interpret the indeterminacy relation 4. know the basic properties of momentum in quantum mechanics 5. reproduce the basic properties of the spectrum of the hydrogen atom
Lecturer / Teaching assistantProfessor Predrag Miranović, assistant Stevan Đuurđević
MethodologyLectures, exercises, consultations
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesThe Schrödinger equation. Wave function.
I week exercises
II week lecturesStatistical interpretation. Normalization
II week exercises
III week lecturesImpulse. The uncertainty relation
III week exercises
IV week lecturesTime-independent Schrödinger equation. Stationary states
IV week exercises
V week lecturesA particle in an infinitely deep well
V week exercises
VI week lecturesHarmonic oscillator
VI week exercises
VII week lecturesParticle in finite depth well
VII week exercises
VIII week lecturesFree particle
VIII week exercises
IX week lecturesDelta-function shape potential
IX week exercises
X week lecturesMathematical formalism of quantum mechanics
X week exercises
XI week lecturesHilbert space. General statistical interpretation
XI week exercises
XII week lecturesSchrödinger and Heisenberg picture
XII week exercises
XIII week lecturesThe Schrödinger equation in 3D
XIII week exercises
XIV week lecturesAngular momentum
XIV week exercises
XV week lecturesHydrogen atom
XV week exercises
Student workload
Per weekPer 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 lectures and exercises
ConsultationsEvery week on student request
LiteratureIntroduction to quantum mechanics, D. J. Griffiths, Prentice Hall, New Jersey 2005
Examination methodsTests (40 points), Homework (10 points), Final exam (50 points)
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / EQUATIONS OF MATHEMATICAL PHYSICS

Course:EQUATIONS OF MATHEMATICAL PHYSICS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12075Obavezan153+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites There is none
Aims The aim of the course is to enable the student, within the defined set of classes, to acquire knowledge of modeling natural and social phenomena using partial differential equations and the ability to prove the existence and uniqueness of the solutions of derived equations.
Learning outcomes After the student passes this exam, he will be able to: 1. Apply the basic principles of modeling natural and social phenomena with partial differential equations 2. Adjust the coefficients of partial differential equations in accordance with the considered situation 3. Prove the existence and uniqueness of solutions of known nonlinear partial differential equations 4 Recognize the type of partial differential equation and find its numerical solution. 5. Interprets solutions of equations as a description of the natural or social phenomenon it models.
Lecturer / Teaching assistantDarko Mitrovic
MethodologyLectures, exercises, learning and independent creation of tasks, consultations
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesIntroductory terms. Examples.
I week exercisesIntroductory terms. Examples.
II week lecturesConservation laws and method of characteristics. Performing the equation and finding classic solutions.
II week exercises Conservation laws and method of characteristics. Performing the equation and finding classic solutions.
III week lecturesWeak solutions and non-uniqueness (scalar conservation law).
III week exercisesWeak solutions and non-uniqueness (scalar conservation law).
IV week lecturesAdmissibility conditions for the Riemann problem.
IV week exercisesAdmissibility conditions for the Riemann problem.
V week lecturesEntropy solutions according to Kružkov and their existence
V week exercisesEntropy solutions according to Kružkov and their existence
VI week lecturesUniqueness of entropy solutions
VI week exercisesUniqueness of entropy solutions
VII week lecturesThe first colloquium
VII week exercisesSolving tasks from the first colloquium
VIII week lecturesDegenerate parabolic equations and admissibility conditions. Existence of a solution in the one-dimensional case
VIII week exercisesDegenerate parabolic equations and admissibility conditions. Existence of a solution in the one-dimensional case
IX week lecturesCompensated compactness
IX week exercisesCompensated compactness
X week lecturesApplication of compactness by compensation to the scalar conservation law
X week exercisesApplication of compactness by compensation to the scalar conservation law
XI week lecturesH-measures
XI week exercisesH-measures
XII week lecturesScalar conservation law with discontinuous flux
XII week exercisesScalar conservation law with discontinuous flux
XIII week lecturesA boundary value problem for the scalar conservation law.
XIII week exercisesA boundary value problem for the scalar conservation law.
XIV week lecturesSecond colloquium
XIV week exercisesSolving tasks from the second colloquium
XV week lecturesRemedial colloquiums
XV week exercisesSolving tasks from remedial colloquiums
Student workloadClasses and final exam: 6 hours and 40 minutes. 16=106 hours and 40 minutes. Necessary preparations 2 6 hours and 40 min. =13 hours and 20 minutes. Total workload for the subject: 5 30=150 Overtime: 0-30 hours Load structure 106 hours and 40 minutes (teaching) + 13 hours and 20 minutes (preparation) + 30 hours (additional work)
Per weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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 required to attend classes, take final exams and colloquiums.
ConsultationsMonday 14:00-16:00
LiteratureI. Aganović, V. Veselić Partial differential equations, Element, Zagreb, 1987. L.C.Evans, Partial Differential Equations, Springer Verlag, 1995 Lecture script S.. Kruzhkov, S. N. Kruzhkovs lectures on first-order quasilinear PDEs, Analytical and Numerical Aspects of PDEs, de Gruyter 2009.
Examination methods2 colloquiums of 40 points each final exam 20 points
Special remarksNone
CommentNone
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / ARTIFICIAL INTELLIGENCE

Course:ARTIFICIAL INTELLIGENCE/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12085Obavezan1,253+2+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer 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:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / CRYPTOGRAPHY

Course:CRYPTOGRAPHY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12082Obavezan2,153+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites Enrolling in this course is not conditioned by passing other courses.
Aims The aim of the course is introducing students to basics of symmetric and asymmetric cryptography.
Learning outcomes On successful completion of this course, students will be able to: 1. Understand and apply definitions and propositions of Number theory 2. Understand basic propositions and algorithms of classic cryptography 3. Understand the notions of asymmetric cryptography and public and private key 4. Understand and apply algorithms of asymmetric cryptography 5. Understand the notion of digital signature, and implement digital signatures
Lecturer / Teaching assistantprof. dr Vladimir Božović
MethodologyLectures, exercises, consultations, group projects
Plan and program of work
Preparing weekPreparation and registration of the semester
I week lecturesIntroduction to cryptography. History of cryptography. Basic substitution algorithms. Introduction to cryptoanalysis.
I week exercisesIntroduction to cryptography. History of cryptography. Basic substitution algorithms. Introduction to cryptoanalysis.
II week lecturesDivisibility. Euclids algorithm.
II week exercises Divisibility. Euclids algorithm.
III week lecturesPrime numbers and factorization. Modular arithmetic.
III week exercisesPrime numbers and factorization. Modular arithmetic.
IV week lecturesChinese remainder theorem. Diophantine equations.
IV week exercisesChinese remainder theorem. Diophantine equations.
V week lecturesBasic algebraic structures. Group, ring, field. System of remainders as a modular ring.
V week exercisesBasic algebraic structures. Group, ring, field. System of remainders as a modular ring.
VI week lecturesArithmetic functions. Fermats and Eulers theorem.
VI week exercisesArithmetic functions. Fermats and Eulers theorem.
VII week lecturesSymmetric cryptography. Examples of symmetric crypto-systems.
VII week exercisesSymmetric cryptography. Examples of symmetric crypto-systems.
VIII week lecturesAsymmetric cryptography. Problem of discrete logarithm in a finite field. Diffie-Hellman algorithm.
VIII week exercisesAsymmetric cryptography. Problem of discrete logarithm in a finite field. Diffie-Hellman algorithm.
IX week lecturesMid-term exam. ElGamal algorithm. Complexity of the discrete logarithm problem.
IX week exercisesMid-term exam. ElGamal algorithm. Complexity of the discrete logarithm problem.
X week lecturesBaby step-Giant step algorithm for computing the discrete logarithm. Chinese remainder theorem. Scheme of the Pohlig-Hellman algorithm.
X week exercisesBaby step-Giant step algorithm for computing the discrete logarithm. Chinese remainder theorem. Scheme of the Pohlig-Hellman algorithm.
XI week lecturesFactorization in cryptography. Eulers formula and roots modulo pq. Introduction to the RSA algorithm.
XI week exercisesFactorization in cryptography. Eulers formula and roots modulo pq. Introduction to the RSA algorithm.
XII week lecturesImplementation of RSA. Security questions for RSA. Influence of the RSA algorithm on the development of cryptography.
XII week exercisesImplementation of RSA. Security questions for RSA. Influence of the RSA algorithm on the development of cryptography.
XIII week lecturesPrimality tests. Pollards algorithms for factorization. Factorization using difference of squares.
XIII week exercisesPrimality tests. Pollards algorithms for factorization. Factorization using difference of squares.
XIV week lecturesAbels group of an elliptic curve. Elliptic curve over a finite field. Discrete logarithm on an elliptic curve.
XIV week exercisesAbels group of an elliptic curve. Elliptic curve over a finite field. Discrete logarithm on an elliptic curve.
XV week lecturesThe notion and implementation of digital signatures. RSA digital signature.
XV week exercisesThe notion and implementation of digital signatures. RSA digital signature.
Student workload
Per weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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 must attend lectures, do and submit all project tasks and do the midterm and final exam.
ConsultationsAs agreed with students.
Literature1. An Introduction to Mathematical Cryptography, Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, 2008, ISBN: 978-0-387-77993-5. 2. A Course in Number Theory and Cryptography, Neal Koblitz, 1994, ISBN: 0-387-94293-9.
Examination methodsMidterm exam - 30 points Group project - 30 points Final exam - 30 points Attendance - 10 points
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / LOGIC

Course:LOGIC/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12067Obavezan253+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / MATHEMATICAL SOFTWARE PACKAGES

Course:MATHEMATICAL SOFTWARE PACKAGES/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12072Obavezan253+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / ALGEBRAIC TOPOLOGY

Course:ALGEBRAIC TOPOLOGY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12076Obavezan253+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / DATA MINING

Course:DATA MINING/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12083Obavezan253+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / PARALLEL ALGORITHMS

Course:PARALLEL ALGORITHMS/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12084Obavezan253+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / DIFFERENTIAL GEOMETRY

Course:DIFFERENTIAL GEOMETRY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12069Obavezan353+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / NUMBER THEORY

Course:NUMBER THEORY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12073Obavezan353+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / ADVANCED ALGEBRA

Course:ADVANCED ALGEBRA/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12074Obavezan353+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / MATHEMATICAL MODELS IN ECONOMY

Course:MATHEMATICAL MODELS IN ECONOMY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12086Obavezan353+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / THEORY OF ALGORITHM COMPLEXITY

Course:THEORY OF ALGORITHM COMPLEXITY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12087Obavezan353+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points

Faculty of Science and Mathematics / MATHEMATICS AND COMPUTER SCIENCE / COMPUTALIBILITY THEORY

Course: COMPUTALIBILITY THEORY/
Course IDCourse statusSemesterECTS creditsLessons (Lessons+Exercises+Laboratory)
12088Obavezan353+1+0
ProgramsMATHEMATICS AND COMPUTER SCIENCE
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology
Plan and program of work
Preparing weekPreparation 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 weekPer semester
5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes
0 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
Consultations
Literature
Examination methods
Special remarks
Comment
Grade:FEDCBA
Number of pointsless than 50 pointsgreater than or equal to 50 points and less than 60 pointsgreater than or equal to 60 points and less than 70 pointsgreater than or equal to 70 points and less than 80 pointsgreater than or equal to 80 points and less than 90 pointsgreater than or equal to 90 points
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