| Type: | Open University
Language: Danish |
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Previous course: C0304
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No credit points with: C0141/01141/C0304
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Prerequisite: C0120/01020/C0121/01021/C0102/01002/C0103/01003. C0130/01030/C0131/01031/ C0122/01032/C8812/01034/C8814/36260 (senest samtidig)
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Recommended semester: 1st - 4th semester
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Scope and form: Lectures and 2 hours exercises
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Examination: Written exam (13-scale)
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Remarks: Textbook: Niels Christian Albertsen, Peter Leth Christiansen og Søren Christiansen: Komplekse variable i fysikke, 6th edition, Polyteknisk forlag.
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URL: http://www.imm.dtu.dk/courses/04124
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Department: Informatics and Mathematical Modelling
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Aim: To introduce complex variables as a tool for the physical and technical application in other courses.
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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.
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