Algebraic Topology 1.5: Cohomology (AlgTop 1.5)
Course content
The course is a thorough introduction to homology and cohomology, with selected applications.
MSc Programme in Mathematics
- Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.
- Skills: To be able to use the acquired knowledge to perform computations.
- Competencies: To be able to produce independent proofs in extension of the acquired knowledge.
4 hours lectures and 3 hours exercise session per week for 9 weeks.
Example of course litterature:
Parts of chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.
Algebraic Topology (AlgTop) and Homological Algebra (HomAlg) or
equivalent.
Academic qualifications equivalent to a BSc degree is
recommended.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Continuous assessmentWeekly homework counting 50 % towards the grade and a 2 hours 'closed-book' final in-class problem set counting 50 % of the grade.
- Aid
- Only certain aids allowed
All aids allowed for the weekly homework. No books and no electronic aids are allowed for the 2 hours final exam. Personally created handwritten notes on paper are allowed.
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner.
Criteria for exam assessment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Single subject courses (day)
- Category
- Hours
- Lectures
- 36
- Preparation
- 143
- Theory exercises
- 27
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAA13029U
- 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
- Søren Galatius (8-6d6772677a6f7b794673677a6e34717b346a71)
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Courseinformation of students