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MAM062 Mathematical Physics 6.0 ECTS credits | |
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TIMEPERIOD: LANGUAGE:Swedish EXAMINER Reinhold Näslund Univ adj PREREQUISITES F: MAM139, MAM057, MAM058, D: MAM138, MAM069, SMS020 (Signaler och system I). COURSE AIM To give knowledge about the basic partial differential equations in mathematical physics and understanding about existence, uniquess and properties of the solutions to these equations, to give experience in solving of boundary- and initial valueproblems, specially by separation of variables and eigenfunction expansion methods. CONTENTS Physical models: Derivation of the heat equation, Laplace's equation and the wave equation. Boundary- and intial conditions, uniquess- and stability conditions, classification, superposition. d'Alemberts formula for the wave equation.
Fouriers method: Separation of variables. Eigenfunction expansion methods, the use of Fourier- and Laplacetransforms.
Function spaces: Orthogonal projections, convergence in norm, symmetric operators, Sturm-Liouville-operators, generalized Fourierseries, Bessel- and Legendrefunctions, distributions.
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| Written exam | 6.00ECTS |
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COURSE LITERATURE G Sparr, A Sparr: Kontinuerliga system (in Swedish), Studentlitteratur 2000 eller senare. G Sparr, A Sparr: Övningsbok till Kontinuerliga system (in Swedish). Course information from the department: http://www.sm.luth.se/math/education/ |
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