NMAA05014U Algebra 3 (Alg3)

Volume 2024/2025
Education

MSc Programme in Mathematics

MSc Programme in Mathematics with a minor subject

Content

Field extensions, algebraic extensions, splitting fields, separable polynomials and extensions, cyclotomic polynomials and extensions, Galois theory, composite fields, Galois groups of polynomials, abelian extensions over Q, solvable groups, radical extensions and solvability via root extractions, finite fields, quadratic reciprocity.

Learning Outcome

Knowledge: After completing the course the student will know the subjects mentioned in the description of the content.

Skills: At the end of the course the student is expected to be able to follow and reproduce arguments at a high, abstract level corresponding to the contents of the course.

Competencies: At the end of the course the student is expected to be able to apply abstract results from the curriculum to the solution of concrete problems of moderate difficulty.

Algebra 2 (Alg2).
Advanced Vector Spaces (AdVec).

Academic qualifications equivalent to a BSc degree is recommended. Additionally it is recommended that students have written their Bachelor project before taking the course.
2+3 hours of lectures and 2+2 hours of exercises per week for 7 weeks.
  • Category
  • Hours
  • Lectures
  • 35
  • Preparation
  • 73
  • Theory exercises
  • 28
  • Exam Preparation
  • 69
  • Exam
  • 1
  • Total
  • 206
Written
Oral
Individual
Continuous feedback during the course of the semester
Credit
7,5 ECTS
Type of assessment
Oral examination, 30 minutes (30 minutes preparation)
Aid
Written aids allowed
Marking scale
7-point grading scale
Censorship form
External censorship
Re-exam

Same as ordinary exam

Criteria for exam assesment

The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.