Mathematical analysis I

COURSE DESCRIPTION

Within the study course, students learn the basic topics of mathematical analysis: limit of functions of one variable, differentiable functions, basic theorems of differential calculus, applications of the derivative in the study of functions, indefinite and definite integral, series of numbers. Within the course, students apply the acquired knowledge in solving practical tasks.

CONTENT

1. Real numbers
2. Functions
3. Limits
4. Continuity
5. Derivative and differential
6. Basic theorems of differential calculus and their applications
7. The indefinite integral
8. The definite integral
9. Applications of definite integral
10. Improper integral
11. Series of numbers