2015 Spring 2014 Spring 2013 Spring
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MM535: Topology (5 ECTS)

STADS: 13008901

Level
Bachelor course

Teaching period
The course is offered in the spring semester.
3rd quarter.

Teacher responsible
Email: froyshov@imada.sdu.dk

Additional teachers
szymanski@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Tuesday 12-14 U49 19
Common I Wednesday 10-12 U49b 06,08,11
Common I Wednesday 14-16 U49d 16
Common I Thursday 08-10 U49d 13
Common I Thursday 14-16 U49b 18
Common I Friday 12-14 U49b 06-07,10-13,15-17
Common I Friday 10-12 U142 08
H1 TE Tuesday 12-14 U49b 15-16
H1 TE Tuesday 14-16 U49b 17-18
H1 TE Wednesday 10-12 U49b 07,10,12-13
H1 TE Wednesday 14-16 U14 11
H1 TE Thursday 08-10 U49 19
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Comment:
Ubegrænset deltagerantal. Fælles undervisning med MM824 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

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:
a) Mandatory assignments. Pass/fail, internal evaluation by teacher.
The assignments must be passed in order to take the exam.
b) Oral exam. External marking. Marks according to the 7-point grading scale.

Reexamination after 4th quarter.

Expected working hours
The teaching method is based on three phase model.

Forelæsninger (32 timer). Eksaminatorier (18 timer).
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.