Mathematical analysis II

COURSE DESCRIPTION

The course "Mathematical Analysis II" is the continuation of the course ''Mathematical Analysis I''. As part of the study course, the students learn the basic topics of mathematical analysis: limit of functions of several arguments, differentiable functions, basic theorems of differential calculus, double and triple integrals, line integrals, series of functions. Within the course, students apply the acquired knowledge in solving practical tasks.

CONTENT

1. Functions of several variables
2. Differentiable functions of several variables
3. Partial derivatives and differentials of higher orders
4. The extrema of functions of several variables
5. Double and triple integrals
6. Some applications of multiple integrals
7. Line integrals
8. Sequences and series of functions
9. Power series
10. Developing of functions in power series
11. Trigonometric series