Engelska Studiehandboken kurser

Dept of Mathematics

MAM056 Mathematics for EEIGM 6.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå university

TIMEPERIOD:

LANGUAGE: Swedish

EXAMINER
Erlend Dahl Univ lekt

PREREQUISITES
The basic mathematics course for first year engineering students.

COURSE AIM
The course is designed to give the student knowledge of some mathematical methods for applications in material science and capability to apply these methods.

CONTENTS
Complex functions: The Cauchy-Riemann equations, complex integration, the Cauchy theorem,Laurent series expansion, the residue theorem and conformal mapping. Laplace transform: Basic properties, convolution, inversion, application to ordinary differential equations. Fourier analysis: Fourier series, periodic functions, properties of Fourier series. Partial differential equations: The wave equation, the heat conduction equation and the Laplace equation. Boundary conditions, initial conditions, solution with the method of separation of variables. Orientation about numerical solutions of PDEs.

TEACHING
Instruction consists of lectures and laboratory lessons.

EXAMINATION
Examination is written. Correction of examination according to alternative A in "Regler för tentamen".
COURSE GRADE SCALE:

ITEMS/CREDITS


Written exam                                                	6.0ECTS

COURSE LITTERATURE
Kreyszig, Erwin: Advanced Engineering Mathematics, Wiley, seventh edition, 1993 Råde, Westergren: BETA, Mathematics Handbook, Studentlitteratur, andra upplagan, 1990 eller senare.

REMARKS

Last modified : 97-12-02

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