English

MM551: Algebra 1 (5 ECTS)

STADS: 13015401

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.

Teacher responsible

Email: szymanski@imada.sdu.dk

Timetable

Group	Type	Day	Time	Classroom	Weeks	Comment
Common	I	Tuesday	12-14	U20	47-51
Common	I	Wednesday	10-12	U20	43-45
Common	I	Wednesday	10-12	U23A	46
Common	I	Friday	12-14	U20	45,47-50
H16	TE	Tuesday	08-10	U64	44	SFV H16 MM551
H16	TE	Tuesday	10-12	U24	44
H16	TE	Tuesday	10-12	U155	45-51
H16	TE	Wednesday	14-16	U171	49	SFV H16 MM551
H16	TE	Thursday	14-16	*Odense Lokalitet aftales 7	46,48	SF H16 MM551
H16	TE	Thursday	12-14	*Odense Lokalitet aftales 7	50	SF H16 MM551
H16	TE	Friday	10-12	U24	44,46
H16	TE	Friday	14-16	U152	45	SFV H16 MM551
H16	TE	Friday	14-16	U157	48-50
H17	TE	Monday	10-12	U61	48
H17	TE	Monday	10-12	U26	49
H17	TE	Monday	10-12	U14	50
H17	TE	Tuesday	08-10	U20	51
H17	TE	Wednesday	12-14	U171	44-45,49
H17	TE	Wednesday	12-14	U142	46
H17	TE	Wednesday	12-14	U8	47
H17	TE	Wednesday	12-14	U143	48
H17	TE	Wednesday	12-14	U24	50
H17	TE	Thursday	12-14	U131	44-45	SFV H17 MM551
H17	TE	Friday	12-14	U24	44,46
H17	TE	Friday	08-10	*Odense Lokalitet aftales 2	46-48,50	SF H17 MM551
H17	TE	Friday	10-12	U155	49	SFV H17 MM551

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Comment:
Ubegrænset deltagerantal.

Prerequisites:
None.

The course cannot be chosen by students, who have passed MM538.

Academic preconditions:
None

Course introduction
The aim of the course is to introduce the student to the basic concepts and methods of abstract algebra, with emphasis on rings, fields and elementary number theory. The material covered is important in some more advanced courses in algebra, group theory and analysis.

The courses MM536 (or similar) and MM537 should at least be taken simultaneously, or the material from MM537 be known. This course provides the students with the necessary prerequisites for courses MM539 and MM543, that appear later in the degree.

In relation to the competence profile of the degree it is the explicit focus of the course to:

Give skills to apply thinking and terminology from the subject’s basic disciplines.
Give skills to present mathematical thinking both in written and oral form.
Give skills to work with abstract algebraic concepts, including numbers, polynomials, rings and fields.
Give knowledge and understanding of rings, fields and elementary number theory.

Expected learning outcome
The learning objectives of the course are that the student demonstrates the ability to:

Reproduce definitions and results covered in the course.
Be able to use these results to analyse concrete examples.
Formulate and present definitions and calculations in a mathematically rigorous way.
Reproduce proofs of certain simpler results from the course.

Subject overview
The following main topics are contained in the course:

elementary number theory
polynomials
rings and fields
homomorphisms and quotients

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
Written exam. External marking, Danish 7-mark scale.

Expected working hours
The teaching method is based on three phase model.
Intro phase: 28 hours
Skills training phase: 22 hours, hereof:
- Tutorials: 22 hours

Educational activities Study phase: 10 hours
Educational form
Activities during the study phase: To discuss selected topics covered in the lectures.

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.