James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456
Terminated in academic year 2010/2011
Functions of Complex Variable
| Type of study | Master |
|---|---|
| Language of instruction | Czech |
| Code | 714-0322/01 |
| Abbreviation | FKP |
| Course title | Functions of Complex Variable |
| Credits | 4 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | doc. RNDr. Jarmila Doležalová, CSc. |
Subject syllabus
Syllabus of lecture
1. Fourier series: periodic functions, Fourier coefficients, functions of the period 2, function of the period T, even and odd functions
2. Even and odd functions, half - range cosine and sine series, convergence of Fourier series
3. Complex numbers
4. Infinite complex number series
5. Complex functions of a real variable
6. Fourier series at a complex form
7. Complex functions of a complex variable and mappings
8. Elementary functions of complex variable
9. Complex differentiation Cauchy - Riemann equations
10. Integration of complex variable function
11. Cauchy´s theorems
12. Singularities, Taylor´s and Laurent´s series
13. Residues, applications
14. Reserve
1. Fourier series: periodic functions, Fourier coefficients, functions of the period 2, function of the period T, even and odd functions
2. Even and odd functions, half - range cosine and sine series, convergence of Fourier series
3. Complex numbers
4. Infinite complex number series
5. Complex functions of a real variable
6. Fourier series at a complex form
7. Complex functions of a complex variable and mappings
8. Elementary functions of complex variable
9. Complex differentiation Cauchy - Riemann equations
10. Integration of complex variable function
11. Cauchy´s theorems
12. Singularities, Taylor´s and Laurent´s series
13. Residues, applications
14. Reserve
Literature
Advised literature
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6
ISBN 0-201-56519-6