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Course Catalog 00/01


Mathematics

MAM003 Advanced Engineering Mathematics 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:Swedish

EXAMINER
Lennart Karlberg Univ lekt


PREREQUISITES


COURSE AIM
The course is intended to give an introduction to vector analysis, partial differential equations, complex analysis and some of the applications of these fields of mathematics.


CONTENTS
Vector analysis: Line integrals, surface integrals, divergence, curl, gradient, divergence theorem, Stoke´s theorem.
Partial differential equations: Fourier series, separation of variables, the wave equation, the heat equation, the circular membrane.
Complex analysis: Analytic functions, Cauchy-Riemann equations, complex integration, Cauchy´s integral theorem, Laurent series, the residue theorem, conformal mapping.


TEACHING


EXAMINATION

COURSE GRADE SCALE: A-F

ITEMS/CREDITS
Written exam 6.00ECTS

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


REMARKS


Course information from the department: http://www.sm.luth.se/math/education/

Valid for the academic year 00/01.

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 2000-12-18