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 |
Monday |
12-14 |
U140 |
6-9,11-12 |
|
Common |
I |
Monday |
12-14 |
U31 |
10 |
|
Common |
I |
Tuesday |
14-16 |
U20 |
6-11 |
|
Common |
I |
Thursday |
12-14 |
U20 |
5 |
|
H16 |
TE |
Wednesday |
11-12 |
U8 |
6-11 |
|
H16 |
TE |
Wednesday |
11-12 |
U31 |
12 |
|
H16 |
TE |
Friday |
12-14 |
U155 |
5-10 |
|
H16 |
TE |
Friday |
14-16 |
U155 |
11 |
|
H16 |
TE |
Friday |
10-12 |
U155 |
12 |
|
H17 |
TE |
Tuesday |
16-17 |
U143 |
6-11 |
|
H17 |
TE |
Thursday |
12-14 |
U8 |
6-8,10-11 |
|
H17 |
TE |
Thursday |
12-14 |
U142 |
9 |
|
H17 |
TE |
Thursday |
12-15 |
U17 |
12 |
|
H17 |
TE |
Friday |
14-16 |
U155 |
5 |
|
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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 introductionThe 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 outcomeThe 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 overviewThe following main topics are contained in the course:
- Groups, subgroups, finite groups, quotient groups, abelian groups.
- Homomorphisms, isomorphisms, kernel, isomorphism theorems.
Literature- Thomas W Hungerford : Abstract Algebra: An introduction, third edition.
Website
This course uses
e-learn (blackboard).
Prerequisites for participating in the exam
None
Assessment and marking:
- Oral exam. Evaluated by external marking by the danish 7 mark scale. Exam aids allowed, a closer description of the exam rules will be posted under 'Course Information' on Blackboard. (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 formClassical 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.