Engelska Studiehandboken kurser
Dept of Mathematics
MAM008 Algebra 6.0 ECTS credits
DENNA SIDA FINNS OCKSÅ PÅ SVENSKA
General information about studying at Luleå university
TIMEPERIOD:
LANGUAGE: Swedish
EXAMINER
T 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 0.7ECTS
Written exam 5.2ECTS
COURSE LITTERATURE
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.
Last modified : 97-09-25
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