NMAA13029U Algebraic Topology 1.5: Cohomology (AlgTop 1.5)
Volume 2019/2020
Education
MSc Programme in Mathematics
Content
The course is a thorough introduction to homology and cohomology, with selected applications.
Learning Outcome
- 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.
Literature
Example of course litterature:
Parts of chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.
Recommended Academic Qualifications
Algebraic Topology
(AlgTop) and Homological Algebra (HomAlg) or equivalent.
Academic qualifications equivalent to a BSc degree is recommended.
Academic qualifications equivalent to a BSc degree is recommended.
Teaching and learning methods
4 hours lectures and 3 hours
exercise session per week for 9 weeks.
Workload
- Category
- Hours
- Lectures
- 36
- Preparation
- 143
- Theory exercises
- 27
- Total
- 206
Feedback form
Written
Oral
Individual
Continuous feedback during the course of the
semester
Sign up
Self Service at KUnet
Exam
- Credit
- 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.
- Re-exam
30 minutes oral examination with no aids or preparation time. The oral examination will cover the entire material of the course, including the exercise sets.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAA13029U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 3
- Schedule
- B
- Course capacity
- No limit.
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Nathalie Wahl (wahl@math.ku.dk)
- Thomas Anton Wasserman (wasserman@math.ku.dk)
Saved on the
30-07-2019