MA-428 Abstract Algebra
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Rolf Tomas Nossum
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian or English.
- Duration:
- 1 term
The course is connected to the following study programs
- Advanced Teacher Education level 8-13, 5-year Master's Programme
- Mathematics, Master's Programme
Teaching language
Norwegian or English.Prerequisites
Completed 60 ECTS Credits in Mathematics
Recommended prerequisites
MA-218
Course contents
Groups, rings and fields, main results on finite abelian groups.
Learning outcomes
The student is able to
-
demonstrate insight into abstract algebra with focus on axiomatic theories
-
apply algebraic ways of thinking
-
demonstrate knowlegde and understanding of fundamental concepts including groups, subgrups, normal subgroups, homomorphisms and isomorphism
-
demonstrate knowlegde and understanding of rings, fields and their properties
-
understand and prove fundamental results and solve algebraic problems using appropriate techniques
Examination requirements
Required assignments must be approved, see Canvas for more information.
Teaching methods
Lectures, work in small groups and compulsory assignements. If necessary, the course can be taught in English. The course has an expected workload of around 200 hours.
Evaluation
The person responsible for the course, in consultation with the student representative, decides the method of evaluation and whether the courses will have a midterm- or end of term evaluation, see also the Quality System, section 4.1. Information about evaluation method for the course will be posted on Canvas.
Offered as Single Standing Module
Yes
Assessment methods and criteria
Oral individual examination. Graded assessment.
Reduction of Credits
This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:
| Course | Reduction of Credits |
|---|---|
| MA-416 – Algebra 2 | 7.5 |