| |
| Previous course: C0141 |
| Offered by:
Department of Mathematics
(MAT) |
| No credit points with: C0304/04124/C0141 |
| Prerequisite: 01020/01021 eller 01002/01003. 01030/01031/01032/ 01034/36260 (senest samtidig) |
| Recommended semester:
4th -7th semester |
| Scope and form: 2 lectures, 1 hour of problem solving and homework problems each week. |
| Examination:
Written exam
(13 point scale
) |
| Contact person: |
Bodil Branner, MAT, Building 303, Tel. +45 4525 3051 |
|
| Aim: To introduce basic complex analysis as a tool for physical and technical applications in the other subjects available at DTU. |
| Contents: Analytic functions, exponential function, trigonometric and hyperbolic functions and their inverse functions. Cauchy-Riemann equations. Cauchy's integral theorem. The fundamental theorem of algebra. Harmonic functions. Maximum principle. Power series, Laurent series. Residuals with applications. Linear differential equations. Conformal mappings. Simple applications are dealt with during the course. |
