Dept of Mathematics

MAM075 Mathematics 6.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå University
TIMEPERIOD:

LANGUAGE: Swedish

EXAMINER
Lars Bergström Fo ing

PREREQUISITES


COURSE AIM
To give skill in the use of some mathematical methods for treatment of problems in different areas, i.e., fluid motion, diffusion, heat transport.

CONTENTS
Laplacetransforms: Definition of the Laplace Transform, Properties of the Laplace Transform, Inverse Laplace Transform, Solving Initial Value Problems, Impulses and the Dirac Delta function, Transferfunction and Convolution. Vectoranalysis: Gradient, Divergens and Curl of a Vector Field, Line- and Surface Integrals. Greens Theorem, Gauss (Divergence) Theorem, Potential Theory, Modeling of heat flow. Fourierseries: Definition and properties of Fourierseries. Orthogonal Systems, Approximation by Trigonometric polynomials, Bessels inequality. Partial Differential Equations: Mathematical models for diffusion, wave-propagation and heattransport, separation of variables. Numerical Methods: Solution of ordinary- and partial differential equations with finite difference methods.

TEACHING


EXAMINATION
Written exam.
COURSE GRADE SCALE: A-F

ITEMS AND CREDITS 
Laboratory work                                             	0.7 ECTS
Written exam                                                	5.2 ECTS

COURSE LITERATURE
Kreyszig E: Advanced Engineering Mathematics, Wiley, seventh edition, 1993. Råde, Westergren: Beta, Mathematics Handbook, Studentlitteratur.

REMARKS
Last modified 97-03-05
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