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Course Catalog 00/01


Mathematics

MAM601 Mathematics A 30.0 ECTS credits

TIMEPERIOD:


LANGUAGE:Swedish

EXAMINER
Lennart Karlberg Univ lekt


PREREQUISITES


COURSE AIM
The course is intended to give an introduction to some fields of mathematics that are important for applications.


CONTENTS
Calculus: Real numbers, functions, limits, continuity, the derivative, the mean-value theorem, optimization problems, integration, applications of integration, complex numbers, differential equations.
Algebra and combinatorics: Set theory, logic, mathematical induction, number theory, functions, relations, permutations, combinations.
Linear algebra: Systems of linear equations, matrix algebra, linear transformations, linear independence,determinants, vector spaces, eigenvalues, eigenvectors.


TEACHING


EXAMINATION

COURSE GRADE SCALE:

ITEMS/CREDITS
Written exam 7.50ECTS
Written exam 7.50ECTS
Written exam 15.00ECTS

COURSE LITERATURE
Dunkels- Klefsjö-Nilsson-Näslund: Mot bättre vetande i matematik, Studentlitteratur.
Robert A Adams: Calculus, a complete course, Addison-Wesley.
Dunkels-Ekblom-Grennberg-Hedberg-Hensvold-Näslund-Kallioniemi: Derivator, integraler och sånt ...del 2, Studentlitteratur.
Anders Vretblad. Algebra och kombinatorik, Gleerups.
Howard Anton: Elementary linear algebra, Wiley.


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