MM824: Topology (5 ECTS)
STADS: 13009301Level
Master's level course
Teaching period
The course is offered in the spring semester.
3rd quarter.
Teacher responsible
Email: szymanski@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Monday | 12-14 | U49 | 06-08,10-13 | |
| Common | I | Tuesday | 10-12 | U49 | 06-08,10-12 | |
| Common | I | Friday | 13-15 | U49 | 08,10-11 | |
| S1 | TE | Monday | 16-18 | U156 | 07-08,10-13 | |
| S1 | TE | Wednesday | 16-18 | U156 | 10-12 |
Show personal time table for this course.
Comment:
Ubegrænset deltagerantal. 3.kvartal. Fælles undervisning med MM535 Topologi.
Prerequisites:
None
Academic preconditions:
The content of the courses MM501 Calculus I, MM502 Calculus II and MM508 Topology I must be known.
Course introduction
Topological properties play an important role in most branches of mathematics. The purpose of the course is to develop further the concepts, which are introduced in Topology I, in more advanced settings.
Expected learning outcome
By the end of the course the student will be able to:
• give an oral presentation of the statement and proofs related to any subject on a previously given list of topics within the course's syllabus
• formulate the oral presentation in a mathematically correct way
• answer supplementary questions from the teacher and external examiner on definitions and results from the course syllabus
- generalize concepts from earlier courses to general topological spaces
Subject overview
1. Topological spaces, including construction methods and concepts of continuity, compactness and connectedness.
2. Complete metric spaces.
3. Function spaces, including the Stone-Weierstrass Theorem.
4. Normal topological spaces.
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, external examiner (5 ECTS). (13009302)
Mandatory assignments. Pass/fail, internal evaluation by teacher. (13009312)
reexam after 4th quarter
Expected working hours
The teaching method is based on three phase model.
Intro phase: 32 hours
Skills training phase: 18 hours, hereof:
- Tutorials: 18 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.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
