Course - Introduction to Topology - TMA4190
TMA4190 - Introduction to Topology
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | D |
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.
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.
Further on evaluation
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.
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 | To |
|---|---|---|---|
| SIF5034 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Intermediate course, level II
Term no.: 1
Teaching semester: SPRING 2023
Language of instruction: English, Norwegian
Location: Trondheim
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 100/100 D 2023-06-05 15:00 INSPERA
-
Room Building Number of candidates - Summer UTS School exam 100/100 D INSPERA
-
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.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"