5 semester

1

Title discipline

Fundamentals of mathematical cybernetics.

2

Training course

3, specialty “Scientific and Design Activities”.

3

Semester of training

5

4

Number of credits

2

5

Name and surname lecturer

Doctor of Pedagogical Sciences, Professor Melnikov Oleg Isidorovich

6

Objectives of the study disciplines.

Acquaintance with the problems of mathematical cybernetics.

Formation of skills in solving problems on networks and graphs. Familiarity with universal methods for solving extremal combinatorial problems.

In the process of studying, the student should be able to:

  • formulate the main statements of the studied sections of the discipline;
  • apply the learned methods and algorithms to solve specific mathematical problems.

7

Prerequisites

Information from linear algebra, set theory, and graph theory.

8

Table of contents

Extreme problems on networks and graphs. Solution of streaming tasks. Solution of the assignment task.

Universal methods for solving extremal combinatorial problems (the branch and bound method, the minorant function method, dynamic programming, permutation method) and solving various extreme problems.

9

Recommended literature

  1. A.A. Chernyak, V.A. Novikov, O.I. Melnikov,  A.V. Kuznetsov. Mathematics for economists based on MATCAD. St. Petersburg: BHV-Petersburg, 2003
  2. V. V. Krasnoproshin, N. A. Lepeshinsky. Operations research. Minsk: BSU, 2013.

10

Methods of teaching

Reproductive (passive), visual, comparative, dialog-heuristic, problematic, research

11

Language of instruction

Russian.

12

Conditions (requirements), current control

Theoretical colloquiums, written tests.

13

Form of current attestation

Test.