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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 2022-2023. 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

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

Course teacher(s)
Course coordinator: Eirik Eik Svanes
Head of Department: Bjørn Henrik Auestad
Method of work
4 hours lectures, 2 hours tutorials and home work.
Open for
Control Engineering and Circuit Design, Vocational Path, Bachelor in Engineering Mathematics and Physics, Bachelor's Degree Programme Admission to Single Courses at the Faculty of Science and Technology Mathematics and Physics, Five Year Integrated Master's Degree Programme
Course assessment
Usually by forms and/or discussion according to university regulations.
Overlapping courses
Course Reduction (SP)
() 16
Groups and symmetry (ÅMA230) 6
Groups and Symmetry (MAT230) 6
Literature
Search for literature in Leganto