All courses

Course content

Topics that will be treated are groups, subgroups, normal subgroups, factor groups, group homomorphisms, the fundamental theorem for finitely generated abelian groups, group action on sets, combinatorial counting results, Sylow theorems, rings and fields. Most of the course is taught together with TMA4150 Algebra and Number theory.

Learning outcome

This course aims at making the students familiar with basic algebraic concepts, ideas and methods in algebra.

After completing the course, the student should be able to recognize, understand and apply concepts and methods in algebra, as specified under "Academic content". The student should be able to apply this knowledge to solve mathematical problems.

Learning methods and activities

A written final examination which counts 100% towards the final grade. Retake of examination may be given as an oral examination.

Compulsory assignments

Recommended previous knowledge

The course is based on MA1201 Linear algebra and geometry and MA2101 Linear algebra with applications. It is also an advantage to be familiar with the material in MA1301 Number theory.

Required previous knowledge

Course materials

Will be announced at the start of the course.

Credit reductions

Course code	Reduction	From	To
MNFMA205	7.5
TMA4150	7.5