| |
| Previous course: C0304 |
| Offered by:
Department of Mathematical Modelling
(IMM) |
| No credit points with: C0141/01141/C0304 |
| Prerequisite: C0120/01020/C0121/01021/C0102/01002/C0103/01003. C0130/01030/C0131/01031/ C0122/01032/C8812/01034/C8814/36260 (senest samtidig) |
| Recommended semester:
1st - 4th semester |
| Scope and form: Lectures and 2 hours exercises |
| Examination:
Written exam
(13 point scale
) |
| Remarks: Textbook: Niels Christian Albertsen, Peter Leth Christiansen og Søren Christiansen: Komplekse variable i fysikken. |
| Contact person: |
Søren Christiansen, IMM, Building 305, Tel. +45 4525 3021 |
|
| Aim: To introduce complex variables as a tool for the physical and technical application in other courses. |
| Contents: Analytic functions, exponential function, trigonometric and hyperbolic functions and their inverse functions, multivalued functions, Cauchy-Riemann's equations, Cauchy's integral theorem and integral formula. Harmonic functions. Taylor-, and Laurent-series. Calculus of Residues with applications. The principle of the argument. Conformal mapping, Schwarz-Christoffel transformation and the Dirichlet problem. Elementary applications to Laplace's equation, heat conduction, electrostatics, and hydrodynamics. |
