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01141 Complex Analysis
Danish title: Matematisk analyse 4 (kompleks funktionsteori)
Language: Danish Credit points: 5
Type: Open University
Language: Danish

Previous course: C0141
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-scale)
Contact person: Bodil Branner, Building 303, Tel. +45 4525 3051, email B.Branner@mat.dtu.dk

Department: Department of Mathematics
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.