Credits: 5

Schedule: 07.01.2020 - 20.02.2020

Contact information for the course (applies in this implementation): Questions about the course should be sent to Office hours are by appointment.

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.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

Lectures, exercises, exam.

Elaboration of the evaluation criteria and methods, and acquainting students with the evaluation (applies in this implementation): 

Exercises: There are six problem sets during the course, one each week. Written solutions are turned in for grading. It is possible to earn up to 10 points for each problem set. Points for five best problem sets are counted towards the final grade, late submissions are not accepted. 

Exam: To be completed in 3 hours. It is possible to earn up to 50 points for the exam. Students are allowed to bring one A4 sheet handwritten on one side of the sheet to the exam.

Grade: 5 best exercise sets and exam.

Workload (valid 01.08.2018-31.07.2020): 

24+12 (4+2)

Details on calculating the workload (applies in this implementation): 24 hours of lectures, 12 hours of exercises sessions, 100 hours of independent work

Study Material (valid 01.08.2018-31.07.2020): 

Metsänkylä-Näätänen, Algebra (luentomoniste)

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): 



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