MM551: Algebra 1

Study Board of Science

Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N300010102
Assessment: Second examiner: External
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Bachelor

STADS ID (UVA): N300010101
ECTS value: 5

Date of Approval: 25-04-2019


Duration: 1 semester

Version: Archive

Comment

13015401(former UVA) is identical with this course description. 

Entry requirements

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.

Content

The following main topics are contained in the course:

  • elementary number theory
  • polynomials
  • rings and fields
  • homomorphisms and quotients


Literature

See Blackboard for syllabus lists and additional literature references.

Examination regulations

Exam element a)

Timing

January

Tests

Written exam

EKA

N300010102

Assessment

Second examiner: External

Grading

7-point grading scale

Identification

Student Identification Card

Language

Normally, the same as teaching language

Examination aids

To be announced during the course

ECTS value

5

Additional information

The examination form for re-examination may be different from the exam form at the regular exam.

Indicative number of lessons

60 hours per semester

Teaching Method

Activities during the study phase: To discuss selected topics covered in the lectures.

Teacher responsible

Name E-mail Department
Wojciech Szymanski szymanski@imada.sdu.dk Institut for Matematik og Datalogi

Additional teachers

Name E-mail Department City
Sophie Emma Mikkelsen mikkelsen@imada.sdu.dk Institut for Matematik og Datalogi

Timetable

Administrative Unit

Institut for Matematik og Datalogi (matematik)

Team at Educational Law & Registration

NAT

Offered in

Odense

Recommended course of study

Profile Education Semester Offer period