Engelska Studiehandboken kurser

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/CREDITS


Laboratory work                                             	0.7ECTS
Written exam                                                	5.2ECTS

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

REMARKS

Last modified : 97-12-02

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