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 2024-2025. Please note that changes may occur.
Facts
Course code
MAT250
Version
1
Credits (ECTS)
10
Semester tution start
Spring
Number of semesters
1
Exam semester
Spring
Language of instruction
English, Norwegian
Time table
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
MAT120 Discrete Mathematics
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)
Course coordinator:
Martin Gunnar GulbrandsenHead of Department:
Bjørn Henrik AuestadMethod of work
4 hours lectures, 2 hours tutorials and home work.
Overlapping courses
| Course | Reduction (SP) |
|---|---|
| Groups and Symmetry, Groups and symmetry ( MAT230_1 ÅMA230_1 ) | 16 |
| Groups and symmetry (ÅMA230_1) | 6 |
| Groups and Symmetry (MAT230_1) | 6 |
Open for
Admission to Single Courses at the Faculty of Science and Technology
Mathematics and Physics - Five Year Integrated Master's Degree 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 subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.