Dept of Mathematics

MAM062 Mathematical physics 6.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå University
TIMEPERIOD:

LANGUAGE: Swedish

EXAMINER
R Näslund Univ adj

PREREQUISITES
F: MAM046, MAM057, MAM058, D: MAM045, 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 AND CREDITS 
Written exam                                                	6.0 ECTS

COURSE LITERATURE
Sparr: Kontinuerliga system, övningar i kontinuerliga system, (in Swedish), Tekniska Högskolan i Lund.

REMARKS
Last modified 97-03-05
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