Algebra 3 (Alg3)
Course 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.
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
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.
3+3 hours of lectures and 3 hours of exercises per week for 7
weeks.
Final part of the evaluation in week 8.
Algebra 2 (Alg2)
Academic qualifications equivalent to a BSc degree is recommended.
Additionally it is recommended that students have written their
Bachelor project before taking the course.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Oral examination
- Type of assessment details
- 30 minute oral examination (all included) with 30 minutes preparation.
- Aid
- Written aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
- Re-exam
-
30 minute oral examination (all included) with preparation.
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 42
- Preparation
- 73
- Theory exercises
- 21
- Exam Preparation
- 69
- Exam
- 1
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAA05014U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 1
- Schedulegroup
-
B
- Capacity
- No limit
The number of seats may be reduced in the late registration period - Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Ian Kiming (6-6e6c706c716a437064776b316e7831676e)
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Kursusinformation for indskrevne studerende