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MM539: Algebra 2 (5 ECTS)

STADS: 13011701

Level
Bachelor course

Teaching period
The course is offered in the spring semester.

Teacher responsible
Email: dkyed@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Tuesday 12-14 U10 5
Common I Tuesday 12-14 U82 6,9,11
Common I Tuesday 12-14 U150 7,10,12
Common I Tuesday 12-14 U91 8
Common I Thursday 12-14 U20 5-7
Common I Thursday 12-14 U140 8,11
Common I Thursday 12-14 U44 9
Common I Thursday 12-14 U181 10
Common I Thursday 12-14 U150 12
H16 TE Monday 10-12 U44 10 Studieforum
H16 TE Wednesday 10-12 U142 5-12
H16 TE Friday 14-15 U144 5-12
H17 TE Monday 10-12 U44 10 Studieforum
H17 TE Tuesday 14-16 U151 10
H17 TE Wednesday 12-14 U10 5
H17 TE Wednesday 12-14 U56 6
H17 TE Wednesday 12-14 U20 8
H17 TE Wednesday 12-14 U154 9,11-12
H17 TE Thursday 16-17 U144 6
H17 TE Thursday 09-10 U143 8
H17 TE Thursday 16-17 U143 9
H17 TE Thursday 09-10 U44 11
H17 TE Friday 12-13 U17 5
H17 TE Friday 12-13 U30A 7,12
H17 TE Friday 10-13 U47 10
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Comment:
Ubegrænset deltagerantal.

Prerequisites:
None

Academic preconditions:
Students taking the course are expected to:
  • There are no concrete preconditions, but it is an advantage to have followed the course MM538.
  • Be able to use basic mathematical thinking. 
 


Course introduction
The aim of the course is to introduce the student to the theory of groups. 

The course builds on the knowledge acquired in the course MM505 Linear algebra MM551 Algebra 1 and gives academic basis for making a bachelor project in algebra or take elective courses on the master level with algebraic content.

In relation to the competence profile of the degree it is the explicit focus of the course to:
  • Give the competence to reason within an abstract mathematical context, and understand this context through concrete examples. The course, moreover, gives competence to understand and construct mathematical proofs.
  • Give skills regarding proofs, mathematical thinking and understanding of abstract mathematical structures.
  • Give knowledge and understanding of groups, homomorphisms, isomorphisms, subgroups, abelian groups, finite groups.
 


Expected learning outcome
The learning objective of the course is that the student demonstrates the ability to:
  • Understand and carry out reasoning pertaining to groups and their homomorphisms.
  • Have knowledge of  concrete examples of various types of groups and their properties.
 


Subject overview
The following main topics are contained in the course:
  • Groups, subgroups, finite groups, quotient groups, abelian groups.
  • Homomorphisms, isomorphisms, kernel, isomorphism theorems.
 


Literature
There isn't any litterature for the course at the moment.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Mandatory assignments. Evaluated by internal censorship by the danish 7 mark scale (5 ECTS). (13011702).
Expected working hours
The teaching method is based on three phase model.
Intro phase: 28 hours
Skills training phase: 21 hours, hereof:
 - Tutorials: 21 hours

Educational activities
  • Work with the new mathematical notions
  • Deeper understanding of the topics covered in the lectures.
  • Solution of relevant exercises.
 
Educational form
Classical lectures combined with exercise sessions.

Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.