Course

Abstract Algebra (MAT250)

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


Course description for study year 2025-2026. Please note that changes may occur.

Facts

Course code

MAT250

Credits (ECTS)

10

Semester tution start

Spring

Language of instruction

English, Norwegian

Number of semesters

1

Exam semester

Spring

Time table

View course schedule

Literature

Search for literature in Leganto

Content

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

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.

Required prerequisite knowledge

None

Recommended prerequisites

Discrete Mathematics (MAT120)

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Basic calculator


Written exam is with pen and paper

Course teacher(s)

Head of Department:

Bjørn Henrik Auestad

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Martin Gunnar Gulbrandsen

Method of work

4 hours lectures, 2 hours tutorials and home work.

Overlapping courses

Course Reduction (SP)
Groups and Symmetry (MAT230_1) , Abstract Algebra (MAT250_1) , Groups and symmetry (ÅMA230_1) 16
Abstract Algebra (MAT250_1) , Groups and symmetry (ÅMA230_1) 6
Groups and Symmetry (MAT230_1) , Abstract Algebra (MAT250_1) 6

Open for

Battery and Energy Engineering - Bachelor in Engineering Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Computer Science - Bachelor in Engineering, Part-Time Electrical Engineering, Vocational Path - Bachelor's Degree Programme Electrical Engineering - Bachelor's Degree Programme, part-time Electrical Engineering - Bachelor's Degree Programme Energy and Petroleum Engineering - Bachelor in Engineering Geosciences and Energy Resources - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering Mathematics and Physics - Bachelor's Degree Programme Medical technology - Bachelor in Engineering Medical Technology - Bachelor in Engineering - part time
Admission to Single Courses at the Faculty of Science and Technology
Advanced teacher education for level 8-13 in science Mathematics and Physics - Five Year Integrated Master's Degree Programme Mathematics - One-Year Programme Science and Technology - one-year programme

Course assessment

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Contact

Head of Department:

Bjørn Henrik Auestad

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Martin Gunnar Gulbrandsen

Offered by

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1