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Course Catalog 01/02


Mathematics

MAM062 Mathematical Physics 6.0 ECTS credits

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.

TEACHING


EXAMINATION

COURSE GRADE SCALE: A - F

ITEMS/CREDITS

Written exam 6.00ECTS

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/

Valid for the academic year 01/02.

Web Editor: Karin.Lindholm@dc.luth.se


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LULEÅ UNIVERSITY OF TECHNOLOGY
University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399
Last edited 2001-12-17