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Course Catalog 01/02


Mathematics

MAM008 Algebra 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:English/Swedish

EXAMINER
Thomas Gunnarsson Univ lekt


PREREQUISITES


COURSE AIM
To familiarise the student with elementary notions and tools of algebra with the objective of meeting the needs of the student in his or her future capacity as a programmer, computer scientist or communications engineer etc.

CONTENTS
Groups, rings, fields, number theory, modular arithmetic, category theory, universal algebra, applications (in the fields of exact computations, error-correcting codes, cryptology etc).

TEACHING
The teaching consists of lectures and computer exercises (with the computer algebra system MAGMA). Some lectures can be replaced by mandatory computer laborations.

EXAMINATION
A written examination at the end of the course. Part of the examination can consists of mandatory han-in exercises. The written examination can be complemented with an oral examination. The tests are graded according to rule "A" in "Rules for examination". For a passing grade in the course the computer exercises (laborations) must be satisfactory done.
COURSE GRADE SCALE:

ITEMS/CREDITS
Laboratory work 0.75ECTS
Written exam 5.25ECTS

COURSE LITERATURE
J.B. Fraleigh: A first course in abstract algebra (5th edition or later, Addison-Wesley)
Notes on complementary parts.
MAGMA manual.

REMARKS
Manuals for the computer algebra system MAGMA may be borrowed from the department.
The course is taught together with the course MAM603.
Recommended prerequisites: The first year mathematics course.

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