Course

Abstract Algebra (MAT250)

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 The syllabus can be found in Leganto

Introduction

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

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

Written exam

Weight 1/1

Duration 4 Hours

Marks Letter grades

Aid Basic calculator

Written exam is with pen and paper

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 Biological Chemistry (Biotechnology) - bachelor Civil Engineering - Bachelor Computer Science - Bachelor Computer Science - Bachelor (Part-Time) Electrical Engineering - Bachelor (Part-Time) Electrical Engineering - Bachelor Energy and Petroleum Engineering - Bachelor Geosciences and Energy Resources - Bachelor Environmental Engineering - Bachelor Mechanical Engineering - Bachelor Medical Technology - Bachelor Medical Technology - Bachlor (Part-Time) Advanced teacher education for level 8-13 in science Mathematics and Physics - Master Mathematics - One Year Programme Science and Technology - One year Programme

Course assessment

The faculty decides whether early dialogue will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.

Contact

Head of Department:
Bjørn Henrik Auestad
Head of Department:
Bjørn Henrik Auestad
Course coordinator:
Eirik Eik Svanes
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