NMAA05014U Algebra 3 (Alg3)
MSc Programme in Mathematics
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.
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.
Final part of the evaluation in week 8.
- 7,5 ECTS
- Type of assessment
- Continuous assessmentTwo one week exercises and a final one hour quiz in week 8 of the course. The three elements count a third of the grade each.
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
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.
- Theory exercises