TMA4190 - Introduction to Topology


Examination arrangement

Examination arrangement: Oral examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Oral examination 100/100 30 minutes

Course content

This course is a first introduction to topology. It will start with basic concepts in point set topology (e.g. topological spaces, continuous maps, metric spaces, constructions of topological spaces, compactness, connectedness). Then it will give an introduction to algebraic topology, such as homotopy, fundamental group, and covering spaces. A short introduction to homology will give an outlook on computational methods.

Learning outcome

1. Knowledge. The student has knowledge of fundamental concepts and methods in topology.

2. Skills. The student is able to apply his or her knowledge of basic topology to formulate and solve problems of a topological nature in mathematics and other fields where topological issues arise.

Learning methods and activities

The course will be given in English if the course is attended by students who don't master a Scandinavian language. If the course is taught in English, the exam will be given in English. The students may answer either in Norwegian or English. Retake of examination may be given as an oral examination.

Further on evaluation

See ''Teaching methods and activities.''

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5034 7.5
More on the course

Version: 1
Credits:  7.5 SP
Study level: Intermediate course, level II


Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 4
Lab hours: 1
No.of specialization hours: 7

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences



Examination arrangement: Oral examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Summer UTS Oral examination 100/100
Room Building Number of candidates
Spring ORD Oral examination (1) 100/100 2021-06-02 09:00
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
  • 1) Merk at eksamensform er endret til hjemmeeksamen som et smittevernstiltak i den pågående koronasituasjonen. Please note that the exam form has changed to home examination as a preventive measure in the ongoing corona situation.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU