Subject 'Mathematics'

Year:   2018/2019    2019/2020    2020/2021    

Short description of the course: derivative of a function of one real variable, differential of a function, derivatives of higher order; geometrical and physical meanings of derivative, application of derivative in investigation of functions; indefinite integral, definite integral and its applications; differential equations.

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

By the end of this course, the student should
- know the basic rules for differentiation and be able to find derivatives of elementary and composite functions;
- be familiar with geometrical and physical interpretations of derivative of a function;
- be able to apply derivatives in investigation of functions and be able to solve extreme value problems;
- be familiar with the basic techniques of integration and be able to find area under the graph of a function using integrals;
- be able to solve simple first order ordinary differential equations.

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

2019: TT  

2018: TT