Course home page
Contents:
The goal of this course is to teach about basic algebraic structures and their properties. In particular, the following topics will be covered:
- groups and subgroups
- group homomorphisms and isomorphisms
- rings and ideals
- ring homomorphisms and isomorphisms
- fields
In this course, an emphasis is placed on proofs. After the course, the student should be able to master and use different proof techniques.
Time:
2019-20 Period III (6 weeks)
- Lectures: Tuesdays and Thursdays 10:15-12:00 in Y313
- Exercises (choose one group):
- Wednesdays 10:15-12:00 in Y347 (Miika Leinonen)
- Fridays 14:15-16:00 in Y229a (Muhammad Ardiyansyah)
Grading:
50% exam + 50% homework solutions (5 best homework grades out of 6 are taken into account)
Exam:
The exam will be held on 20.02 during 9-12. Students are allowed to bring one A4 sheet handwritten on one side of the sheet to the exam.
Exercises:
There are weekly problem sets posted under "Assignments" in MyCourses. Solutions can be uploaded to MyCourses or returned on Tuesdays before the lecture.
Study material:
- Metsänkylä-Näätänen, Algebra (Chapters III-VI.2): https://matematiikkalehtisolmu.fi/2010/algebra.pdf (in Finnish)
- Clive Reis, Stuart A. Rankin "Abstract Algebra: Introduction to Groups, Rings and Fields with Applications" (Chapters 5, 6 and 8)