01141 Complex Analysis |
Danish title: Kompleks funktionsteori |
Language: Danish ECTS-creditpoints: 5, External examination.
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Exam schedule:
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E2-B (dec 13 2001), F2-B (maj 30 2002) |
Recommended semester: 4th -7th semester |
Scope and form: Lectures, problem solving sessions and excersises |
Evaluation: Written exam
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Examination: 13-scale |
Prerequisites: 01005 and 01030 / 01031 / 01034 / 36260 (not later than) |
No credit points with: 02643 / 04124 |
Aim: To train the elementary complex analysis as a tool in the physical and technical applications in the other subjects at DTU. |
Contents: Analytic functions, exponential function, trigonometric and hyperbolic functions and their inverses, multi-valuable functions, the Cauchy-Riemann equations. Cauchy's integral theorem and integral formulas. The fundamental theorem of algebra. Harmonic functions. Power series, Laurent series. Residue calculus with applications. Conformal mappings. During the course simple applications with be refered to. |
Contact: Bodil Branner, building 303, (+45) 4525 3051, b.branner@mat.dtu.dk |
Department: 001 Department of Mathematics |
Course URL: http://www.mat.dtu.dk/courses/01141 |
Keywords: Analytic functions, Power series, Laurent series, Residues, Conformal mappings |
Updated: 04-05-2001 |
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