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MAT250_1

Abstract Algebra

This is the study programme for 2019/2020. It is subject to change.


Introduction to the axiomatic approach to algebraic objects, such as groups, rings and fields, with applications to modular arithmetic and symmetries of geometric shapes.

Learning outcome

After completion of the course, the student is be able to:
  • Reproduce and exemplify the axioms and elementary properties of an abstract group, ring and field
  • Reproduce and exemplify definitions of central algebraic notions such as subgroup, factor group, ideal, factor ring and homomorphism.
  • Explain and apply the notions of finite and finitely generated group.
  • Identify subgroups, residue classes and factor groups in manageable examples.
  • Identify ideals and quotient rings in manageable examples.
  • Carry out and convey reasoning with abstract algebraic objects.

Contents

Groups, rings and fields; subgroups and ideals; factor groups and factor rings, homomorphisms. Examples and applications.

Required prerequisite knowledge

None.

Recommended previous knowledge

MAT120 Discrete Mathematics

Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FBasic calculator.

Course teacher(s)

Course teacher
Sammy Alaoui Soulimani
Course coordinator
Martin Gunnar Gulbrandsen
Head of Department
Bjørn Henrik Auestad

Method of work

4 hours lectures, 2 hours tutorials and home work.

Overlapping courses

Course Reduction (SP)
Groups and Symmetry (ÅMA230_1) 16
Groups and symmetry (ÅMA230_1) 6
Groups and Symmetry (MAT230_1) 6

Open to

Mathematics - One Year Foundation Programme at the Faculty of Science and Technology. Bachelor studies at the Faculty of Science and Technology. Master studies at the Faculty of Science and Technology.

Course assessment

Usually by forms and/or discussion according to university regulations.

Literature

Fraleigh: A first course in abstract algebra (Pearson).


This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 13.11.2019

History