Content (Syllabus outline)
- Elementary linear algebra: definition of matrices and computational operations with them; determinants, their properties and computation of their values; rank of a matrix; systems of homogeneous and nonhomogeneous linear equations; graphical solution of system of linear inequalities; linear program and its graphical solution (production, diet and transportation problem).
- Introduction to decision making and network models: decision tree; decision making under uncertainty and risk, the value of complete information, network planning, graphical interpretation, critical path.
- Functions of one real variable: properties and graphs of linear, quadratic, rational, exponential, logarithmic, trigonometric functions, linear, quadratic, exponential and logarithmic equations, continuity and limits, derivatives, relative and absolute minima and maxima, concavity, convexity, points of inflection, elasticity, indefinite integrals, basic integration formulas, definition of the definite integral, properties and calculation of definite integrals.
- Functions of two real variables: partial differentiation, higher order partial derivatives, maxima and minima, least squares method.
Introduction to probability: permutations and combinations, trials, events, probabilities, mutually exclusive and non-exclusive events, dependent and independent events, compound events, conditional probability, Bernoulli’s formula, discrete random variables, binomial and Poisson distribution, continuous distribution, normal distribution.
Prerequisites
a) Prerequisite for course work:
Enrollment in the corresponding (1st) year of the study program
b) Prerequisite for permission to take the final examination:
- Attendance of tutorials
- Fulfilled obligations from lectures and tutorials