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Course Catalog 01/02


Mathematics

MAM143 Mathematics 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:Swedish

EXAMINER
Lars Bergström Fo ing


PREREQUISITES


COURSE AIM
To give skill in the use of some mathematical methods from the fields of Laplace transforms,calculus of several variables, vector analysis, partial differential equations and numerical analysis.

CONTENTS
Laplacetransforms:
Definition of the Laplace Transform, Properties of the Laplace Transform, Inverse Laplace Transform, Solving Initial Value Problems.
Calculus of several variables:
Functions of several variables, partial derivative, double- and triple integrals, change of variables.
Vector analysis:
Gradient, Divergens and Curl of a Vector Field, Line- and Surface integrals. Greens Theorem, Gauss Theorem.
Partial Differential Equations:
Mathematical models for diffusion, wave propagation and heat transport. Solving of partial differential equations by separation of variables.
Numerical Methods:
Solution of ordinary- and partial differential equations with finite difference methods.

TEACHING


EXAMINATION

COURSE GRADE SCALE: A-F

ITEMS/CREDITS
Written exam 4.50ECTS
Laboratory work 1.50ECTS

COURSE LITERATURE
Kreyszig E: Advanced Engineering Mathematics, Wiley, eight edition, 1999
Råde, westergren: Beta, mathematics Handbook. Studentlitteratur
Adams A: Calculus, Addison Wesley, fourth edition, 1999

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