J. Bouchala, M. Sadowská: Mathematical Analysis I, http://am.vsb.cz/bouchala
W. Rudin: Principles of Mathematical Analysis, McGraw-Hill, Inc.
Terminated in academic year 2020/2021
Repetition of Mathematical Analysis
| Type of study | Bachelor |
|---|---|
| Language of instruction | English |
| Code | 470-2112/02 |
| Abbreviation | RMA |
| Course title | Repetition of Mathematical Analysis |
| Credits | 8 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | prof. RNDr. Jiří Bouchala, Ph.D. |
Subject syllabus
Lectures:
1. Basic ideas of set theory.
2. Cardinality of sets.
3. Real numbers.
4. Sequences, limit of sequence.
5. Infinite series, criteria for convergence.
6. Exponential function, goniometric functions.
7. Sequence of functions, convergence.
8. Continuities of functions.
9. Differentiation of function . Implicit function theorem.
10. Extremes of function.
11. Weierstrass theorem .
12. Taylor´s polynomial.
13. Riemann integral.
14. Integration of functions of several real variables.
1. Basic ideas of set theory.
2. Cardinality of sets.
3. Real numbers.
4. Sequences, limit of sequence.
5. Infinite series, criteria for convergence.
6. Exponential function, goniometric functions.
7. Sequence of functions, convergence.
8. Continuities of functions.
9. Differentiation of function . Implicit function theorem.
10. Extremes of function.
11. Weierstrass theorem .
12. Taylor´s polynomial.
13. Riemann integral.
14. Integration of functions of several real variables.
Literature
Advised literature
H. Anton, I. Bivens, S. Davis: Calculus, John Wiley & sons, Inc.