course-details-portlet

TMA4150

Algebra and Number Theory

Credits 7.5
Level Third-year courses, level III
Course start Spring 2011
Duration 1 semester
Language of instruction Norwegian
Examination arrangement Written examination

About

About the course

Course content

Euclidean algorithm, elementary theory of prime numbers. Fermate theorem and Eulers's generalization. Elementary group theory, permutations, cyclic groups, Lagranges theorem and cosets, the fundamental theorem of finitely generalized abelian groups, group actions and combinatorics. Rings, polynorimal rings, ideals, quotient rings, fields, and the structure theorem for finite fields and their group of units.

Learning outcome

The objective of this course is to introduce the students to a systematic algebraic way of thinking and make them acquianted with the fundamental notions of elementary number theory and algebra with modern applications in mind.

Learning methods and activities

Lectures and exercises. Retake of examination may be given as an oral examination.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
MA2201 7.5 sp
SIF5021 7.5 sp
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics
  • Technological subjects

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: Written examination
Grade: Letters

Ordinary examination - Spring 2011

Written examination
Weighting 100/100 Date 2011-05-30 Time 09:00 Duration 4 timer Place and room Not specified yet.

All about examinations at NTNU