Subject 'Applied Mathematics'

Year:   2018/2019    2019/2020    2020/2021    2021/2022    2022/2023    

This course consists of the basic topics of higher mathematics: matrices, determinants, inverse matrices, matrix equations, systems of linear equations, vectors, functions of one variable, limit of functions, derivatives, indefinite and definite integrals.

The aim of the course is to provide students with a general overview of the basic themes and issues in higher mathematics. The material in this course is absolutely fundamental to nearly all areas of natural and engineering sciences. In this course, students develop logical and mathematical thinking ability as well.

By the end of this course, the student should
- be able to manipulate matrices and determinants, be familiar with their properties and understand their relation to systems of linear equations;
- be able to find inverse matrix and be able to solve matrix equations;
- be able to solve systems of linear equations using Cramer's rule and Gauss-Jordan method;
- be able to manipulate vectors in two and three dimensions, and to solve geometrical problems using vectors;
- be familiar with various representations, classes and types of functions of one real variable, be able to determine their domain and range;
- know the basic rules for differentiation and be able to find derivatives of elementary functions;
- be familiar with the basic techniques of integration.

Lectures, practical lessons, group study, e-learning.

2020: AE  ET  FOR*  HE  KK  KT  LK  LO  ME  OK  RA  RG  RO  RR  TD  TD  TD  TE  TK  TK  

2019: AT  ET  FOR*  HE  KK  KT  LK  ME  OK  RA  RG  RO  RR  TD  TD  TD  TE  TK  TK  TL  TT  TT  

2018: KT  LK  OK  RO  RR  TD  TD  TK  TT  TT  

* Optional subject