List of disciplines

LIST OF DISCIPLINES

1 SEMESTER FIT

Матанализ I / Calculus I
Prerequisites: None
Credits: 4 ECTS: 5

Description:
Calculus I is an integral part of the mathematical training required by mathematicians, economists, engineers, physicists and others. It is difficult to overestimate the importance of mathematical analysis for engineering students. This course provides basic calculus tools to students specializing in mathematical modeling. After successful completion of this course, students will be able to: 1. operate on the limits of sequences and functions; 2. calculate derivatives of functions; 3. calculate indefinite integrals; 4. find extremes of scalar-valued functions of one variable.

Дискретные структуры / Discrete Structures
Prerequisites: None
Credits: 3 ECTS: 5

Description:
This course covers introductory topics in discrete mathematics such as sets, mathematical reasoning and proofs, combinatorial counting methods and generating functions, fundamentals of number theory and fundamentals of graph theory.

Линейная алгебра для инженеров / Linear Algebra for Engineers Prerequisites: None
Credits: 3 ECTS: 5

Description:

The topics that will allow this course to achieve its goals are as follows:
1. basic arithmetic operations with vectors and matrices, including inversion and determinants, using appropriate technologies.;
2. solving systems of linear equations using technology that facilitates the reduction of series;
3. the basic terminology of linear algebra in Euclidean spaces, including linear independence, coverage, basis, rank, zero value, subspace and linear transformation;
4. abstract concepts of vector space and inner space of works;
5. finding the eigenvalues and eigenvectors of a matrix or linear transformation and using them to diagonalize the matrix;
6. Projections and orthogonality between Euclidean vectors, including the Gram-Schmidt orthonormalization process and orthogonal matrices;
7. General applications of linear algebra, possibly including Markov chains, domains and volumes, Kramer's rule, adjunction and least squares method;
8. The nature of the modern mathematics course: how abstract definitions are motivated by concrete examples, how results follow from axiomatic definitions and are tied to concrete examples, and how applications are woven into all this. In this course, various "characteristics" theorems will be presented (for example, characterizing isomorphic finite-dimensional vector spaces by their dimension and characterizing invertible matrices by various criteria); 9. the main methods of proof and refutation, including mathematical induction, verification of the correspondence of axioms, standard proofs of "uniqueness", proof by contradiction and refutation by counterexample.

Физическая культура I / Physical Education I
Prerequisites: None
Credits: 2 ECTS: 4

Принципы программирования I / Programming Principles I
Prerequisites: None
Credits: 4 ECTS: 6

Английский 1_уровень B1 / English 1 - Intermediate (B1) Prerequisites: None
Credits: 3 ECTS: 5

Description: The course is designed to familiarize students with the English language for academic purposes. The course focuses on the development of language skills necessary for effective reading, writing, listening and speaking in an academic environment; integrated with academic and academic skills necessary for a successful university life. The semester project will involve students in conducting mini research projects and case studies that reinforce specific stated priority areas.