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
Course code
MAT250
Version
1
Credits (ECTS)
10
Semester tution start
Spring
Number of semesters
1
Exam semester
Spring
Language of instruction
English, Norwegian
Content
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
Recommended prerequisites
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
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 |