MATEMATIKA

Expected learning outcomes: It is expected that after passing the exam of the course Mathematics the student will be able to: 1. Describe basic concepts of set theory and mathematical logic, as well as sets of numbers. 2. Explain the concepts of variation, permutation ans conbination, and to apply the binomial formula in easier problems. 3. Define a vector and arithmetical operations on vectors, and apply scalar, vector and mixed products of vectors for solving various geometric problems. 4. Define the concept of matrix, to perform operations on matrices, and to calculate the values of determinants. 5. Solve and discuss systems of linear equations by using Gaussian elimination method or Cramer’s rule. 6. Define the concept of function, explain the basic notions of a real function of one variable (domain, parity, periodicity, limit and continuity). 7. Describe the basic concepts of differential calculus of functions of one variable. 8. To investigate the flow of a real function of one real variable using differential calculus. 9. Calculate indefinite integrals by using table of integrals, the method of change of variables, the method of integration by parts or method for integrating rational functions. 10. Define the definite integral and by using Newton –Leibniz formula to find the area of the plane figure, the volume of rotating body, the surface area, as well as the arc length of the curve