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Course Catalog 01/02


Mathematics

MAM145 Mathematics/Applied Mathematics 25.5 ECTS credits

TIMEPERIOD:


LANGUAGE:Swedish

EXAMINER
Thomas Strömberg/Peter Wall


PREREQUISITES


COURSE AIM
The goal of the course is to give a foundation of mathematical analysis and linear algebra.

CONTENTS
Lp 0 Preliminary course (Basic mathematics).
Lp 1 Calculus (Limits, continuity, differentiation).
Lp 2 Linear algebra (Vectors, matrices).
Calculus(Differentiation).
Lp 3 Linear algebra(Vector spaces)
Calculus (Integration)
Lp4 Calculus (Differential equations, Several variables)

Calculus:
Preliminaries, limits and continuity, differentiation, transcendental functions, applications of derivatives, integrations, applications of integration, functions of several variables, partial differentiation, multiple integration, ordinary differential equations.

Linaer algebra:
Vectors and geometry in Rn, systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and least-squares, symmetric matrices and quadratic forms.



TEACHING
The course consists of lectures, group sessions, and laborations.

EXAMINATION

COURSE GRADE SCALE: 3, 4, 5

ITEMS/CREDITS

Written exam 4.50ECTS
Written exam 7.50ECTS
Laboratory work 0.60ECTS
Written exam 5.40ECTS
Written exam 6.00ECTS
1.50ECTS

COURSE LITERATURE
Dunkels m .fl.: Mot bättre vetande i matematik, last edition (lp0).
Adams Robert A: Calculus, A Complete Course. Addison-Wesley, last edition
(läsperiod 1-4).
Lay D: Linear algebra and its applications. Addison-Wesley, last edition.

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