Course - Introduction to Topology - TMA4190
Introduction to Topology
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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
- Knowledge. The student has knowledge of fundamental concepts and methods in topology.
- 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.
Recommended previous knowledge
The course is based on TMA4100/05/15 Mathematics 1/2/3 or equivalent. For students who have their background from mathematical sciences: The course is based on MA1101 Basic Calculus I, MA1102 Basic Calculus II, MA1103 Vector Calculus, MA1201 Linear Algebra and Geometry, MA1202 Linear Algebra with Applications. In addition, it is recommended to have taken TMA4150 Algebra and MA3201 Rings and Modules.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5034 | 7.5 sp |
Subject areas
- Mathematics
- Technological subjects