Code В05003В
Course unit Higher and applied mathematics
Nomber of credits ECTS 6.0
Language of education Ukrainian
Learning outcomes of course unit

Memorization:

basic concepts of linear algebra, analytic geometry, differential and integral calculus, probability theory;

basic methods of statistical description and analysis of observation results;

the main tasks of correlation-regression analysis in econometric studies.

Understanding:

basic methods of building mathematical models of economic processes and solving problems in the field of management;

basic principles of setting and solving organizational problems using mathematical apparatus;

economic interpretation of the obtained results.

Application of knowledge (skills):

solving a system of linear equations;

function research using differential calculus;

calculation of indefinite and definite integrals;

determination of the parameters of the distribution of random variables according to a statistical sample;

application of statistical methods for processing statistical data and making informed decisions based on this;

application of the method of least squares in solving problems of correlation and regression analysis in econometric studies.

Analysis:

productivity of the Leontiev model;

a hypothesis about the distribution of a random variable according to a statistical sample;

specifications of economic models, their parameters and economic and statistical interpretation of the obtained results;

solutions to transport problems;

parameters and results of econometric problems.

Evaluation:

statistical data of observations;

multicollinearity and ways to eliminate it;

solutions of linear programming problems using graphic and simplex methods;

making managerial decisions in conditions of uncertainty and conflict.

Creation:

mathematical models of "expenditure-output";

mathematical models for the distribution of resources;

mathematical models of optimal delivery of products to points of need;

mathematical models for decision-making in conditions of uncertainty or conflict;

mathematical models of linear and non-linear regression.

Types of educational work Lectures, practical tasks
Type of final control
Content of course unit

Study of basic methods and principles of higher mathematics, probability theory and mathematical statistics for solving mathematical problems. Building and solving mathematical models of economic problems using linear programming, game theory and econometrics.

Equipment (if applicable) Not used

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