Abstract Algebra

Recommended prerequisites: The student should be familiar with basic proof techniques, sets, functions, and relations, especially modular arithmetic and the congruence relation. These are covered on the course MS-A04XX Foundations of discrete mathematics, and typically in any standard book on abstract algebra. Finnish-speaking students can also looks at the lecture notes: Metsänkylä-Näätänen, Algebra, sections 0, I, II, matematiikkalehtisolmu.fi/2010/algebra.pdf ).

After the course the student will be able to

-understand basic algebraic structures and their key properties and differencies,

-perform related arithmetics

-master and apply different proof techniques.

Teaching Language: English

Teaching Period: 2024-2025 Spring III
2025-2026 Spring III