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
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
-
Continuous assessmentTwo one week exercises and a final one hour quiz in week 8 of the course. The final quiz must be passed with at least 35 points out of 100 as a prerequisite for passing the course. If this requirement is fulfilled, the final grade will be determinded from an overall evaluation of the three elements. The three elements will be considered as having equal weight in the final evaluation.
- Aid
- Written aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
Criteria for exam assessment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 42
- Preparation
- 73
- Theory exercises
- 21
- Exam
- 70
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAA05014U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Schedulegroup
-
B
- Capacity
- No limit
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Ian Kiming (6-7573777378714a776b7e7238757f386e75)
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Courseinformation of students