MM551: Algebra 1
The Study Board for 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
Entry requirements
Academic preconditions
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.
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
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 - Name
Language
Normally, the same as teaching language
Duration
4 hours
Examination aids
All common aids are allowed e.g. books, notes, computer programmes which do not use internet etc.
Internet is not allowed during the exam. However, you may visit the course site in itslearning to open system "DE-Digital Exam". If you wish to use course materials from itslearning, you must download the materials to your computer the day before the exam. During the exam you cannot be sure that all course materials is accessible in itslearning.
ECTS value
5