NMAA05014U Algebra 3 (Alg3)

Volume 2013/2014
Education
MSc programme in Mathematics
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, constructions with straightedge and compass, 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
3+3 hours of lectures and 3 hours of exercises per week for 7 weeks.

Final part of the evaluation in week 8 or 9.
  • Category
  • Hours
  • Exam
  • 70
  • Lectures
  • 42
  • Preparation
  • 73
  • Theory exercises
  • 21
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Continuous assessment
The continuous evaluation ends in week 8 or 9 of the course.
Aid
All aids allowed
Marking scale
7-point grading scale
Censorship form
External censorship
Re-exam
30 minute oral examination without preparation
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.