| 02643 Complex Variables and Applications |
| Danish title: Kompleks funktionsteori |
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Language: Danish ECTS-creditpoints: 5, External examination.
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Exam schedule:
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F2-B (maj 30 2002) |
| Recommended semester: 1st - 4th semester |
| Scope and form: Lectures and exercises |
| Evaluation: Written exam
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| Examination: 13-scale |
| Previous course: 04124 |
| Prerequisites: Elementary functions, Taylor and Fourier series, curve integrals, functions of several variables, partial differentiation. |
| No credit points with: C0141 / 01141 / C0304 / 04124 |
| 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 and the Dirichlet problem. Elementary applications to Laplace's equation, heat conduction, electrostatics, and hydrodynamics. |
| Remarks: Textbook: Niels Christian Albertsen, Peter Leth Christiansen og Søren Christiansen: Komplekse variable i fysikken, 6th edition, Polyteknisk forlag. |
| Contact: Søren Christiansen, building 305, (+45) 4525 3021, sc@imm.dtu.dk |
| Department: 002 Informatics and Mathematical Modelling |
| Course URL: http://www.imm.dtu.dk/courses/02643 |
| Keywords: analytic functions, multivalued functions, calculus of residues, conformal mapping, plane field theory |
| Updated: 15-05-2001 |
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