course-details-portlet

TMA4190

Introduction to Topology

Assessments and mandatory activities may be changed until September 20th.

Credits 7.5
Level Intermediate course, level II
Course start Spring 2026
Duration 1 semester
Language of instruction English
Location Trondheim
Examination arrangement School exam

About

About the course

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.

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.

Further on evaluation

The students may answer either in Norwegian or English for the exam.

Retake of examination may be given as an oral examination. The retake exam is in August.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
SIF5034 7.5 sp
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics
  • Technological subjects

Contact information

Course coordinator

Lecturers

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Spring 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.

Re-sit examination - Summer 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.