MM823: Algebraic topology (5 ECTS)
STADS: 13009201Level
Master's level course
Teaching period
The course begins in the autumn semester and continues in the spring semester.
The course is offered when needed
Teacher responsible
Email: duck@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Monday | 14-16 | Spørg underviseren | 15-22 | |
| Common | I | Tuesday | 08-10 | IMADA Seminarrum | 17 | |
| Common | I | Wednesday | 10-12 | IMADA Seminarrum | 18 | |
| Common | I | Thursday | 08-10 | IMADA Seminarrum | 15-22 | |
| Common | I | Friday | 12-14 | IMADA Seminarrum | 15-16,19-22 |
Show personal time table for this course.
Comment:
Ubegrænset deltagerantal. 4. kvartal
Prerequisites:
None
Academic preconditions:
Basic notions from topology and linear algebra must be known.
Course introduction
Algebraic topology is a branch of mathematics that uses algebraic constructions to create and study topological invariants of cell complexes, fundamental group and covering spaces.
Expected learning outcome
At the end of the course, the student will be able to:
- reproduce definitions and results within the syllabus of the course
- apply the theory to solve problems within the socpe of the syllabus of the course
- argue in a mathematically correct and stringent way the steps in the solution of given problems
- supply stringent and complete proofs for statements within the syllabus of the course
- identify and descirbe mathematical structures within the scope of the syllabus of the course in specific examples
Subject overview
surfaces, cell complexes, group actions, homotopy, foundamental group, space covering.
Literature
- Meddeles ved kursets start.
Website
This course uses e-learn (blackboard).
Prerequisites for participating in the exam
None
Assessment and marking:
Oral exam. Danish 7 mark scale, internal examiner
Mandatory assignments. Pass/fail, internal evaluation by teacher. (13009202)
The mandatory exercises must be passed in order for the students to be allowed to go up to the oral exam. (13009212)
Expected working hours
The teaching method is based on three phase model.
Intro phase: 28 hours
Skills training phase: 21 hours, hereof:
- Tutorials: 21 hours
Educational activities
Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.
Remarks
The course is offered when needed, and can be taken as a core Master's course in mathematics, in the category Geometry & Topology.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
