Credits: 5

Schedule: 08.01.2019 - 21.02.2019

Contact information for the course (applies in this implementation):

Teaching Period (valid 01.08.2018-31.07.2020): 

III Spring (2018-2019, 2019-2020)

Learning Outcomes (valid 01.08.2018-31.07.2020): 

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.

Content (valid 01.08.2018-31.07.2020): 

Groups, group homomorphisms and isomorphisms, rings, ideals, integral domains, ring homomorphisms and isomorphisms, polynomials, fields.

Details on the course content (applies in this implementation): 

Abstract Algebra is a part of
Discrete Mathematics that many other areas of Mathematics are based on.
Particularly the concept of symmetry is central and has determined the
development of Mathematics as an entirety over the last centuries.

course will try to give an introduction: our main topic will be the
group and its theory. Should time suffice, we might be able to give an
example, where finite groups are important for possible applications.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

Lectures, exercises, exam.

Workload (valid 01.08.2018-31.07.2020): 

24+12 (4+2)

Study Material (valid 01.08.2018-31.07.2020): 

Metsänkylä-Näätänen, Algebra (luentomoniste)

Details on the course materials (applies in this implementation): 

will be posted.

Substitutes for Courses (valid 01.08.2018-31.07.2020): 

Substitutes the courses Mat-1.3081 Algebra I and MS-C1080 Introduction to abstract algebra.

Course Homepage (valid 01.08.2018-31.07.2020):

Prerequisites (valid 01.08.2018-31.07.2020): 

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 in the lecture notes: Metsänkylä-Näätänen, Algebra, sections 0, I, II,

Grading Scale (valid 01.08.2018-31.07.2020): 



Registration and further information