Subject 'Mathematics II'

Year:   2015/2016    2016/2017    2017/2018    2018/2019    2019/2020    

This course consists of the basic topics of higher mathematics: matrices, determinants, inverse matrices, matrix equations, systems of linear equations, vectors, straight lines and planes, quadratic curves (ellipse, hyperbola and parabola), functions, limit of functions.

The aim of the course is to provide students with a general overview of the basic themes and issues in higher mathematics. The most important themes of higher mathematics like differential and integration calculus will be introduced in Mathematics III. 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 acquainted with various equations of straight line and plane, and be able to compose them from different initial data;
- be familiar with quadratic curves, be able to determine their equations and to draw their graphs;
- be familiar with various representations, classes and types of functions of one real variable, be able to determine their domain and range, and be able to find inverse function;
- be able to calculate one-sided, two-sided and infinite limits.

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

During the course a student has to pass tests and to present homeworks. The tasks of the tests and homeworks are composed on the basis of the standard problems solved at the practical lessons and according to the topics from the course program. The number of tests and homework assignments during the course can be changed by the responsible lecturer.

2018: AT  ET  FOR*  HE  ME  RG  TE  

2017: AT  ET  FOR*  HE  ME  RG  TE  TT  

2016: AT  ET  FOR*  HE  ME  RG  TE  TT  

2015: AT  ET  HE  ME  RG  TE  TT  

* Optional subject