Course - Algebraic Topology 1 - MA3403
MA3403 - Algebraic Topology 1
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral examination | 100/100 | D |
Course content
The aim of the course is to show how basic geometric structures may be studied by transforming them into algebraic questions. Studying geometric objects by associating algebraic invariants to them is a powerful idea which influenced many areas of mathematics. For example, deciding about the existence of a map between spaces (often a difficult task) may be translated into deciding whether an algebraic equation has a solution (which is often quite simple). The goal of the course is to introduce the most important examples of such invariants, such as singular homology and cohomology groups, and to calculate them for fundamental examples and constructions of topological spaces. Basic notions in Category Theory and Homological Algebra will be reviewed according to the knowledge of the participants.
Learning outcome
1. Knowledge. The student has knowledge of fundamental concepts and methods in algebraic topology, in particular singular homology.
2. Skills. The student is able to apply his or her knowledge of algebraic topology to formulate and solve problems of a geometrical and topological nature in mathematics.
Learning methods and activities
The learning methods and activities depend on the course instructor, but will in general consist of lectures and exercises.
Further on evaluation
The re-sit exam is in August.
Recommended previous knowledge
The course builds on material in algebra and topology that is covered in MA3201 Rings and Modules and TMA4190 Introduction to Topology, respectively. (TMA4192 Differential Topology also covers much of the required background in topology.) It is recommended (but not necessary) to also take MA3204 Homological Algebra.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MNFMA333 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2024
Language of instruction: English
Location: Trondheim
- Topology
- Topology and Geometry
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
-
Autumn
ORD
Oral examination
100/100
D
2024-12-02 - 2024-12-06
08:00 -
Room Building Number of candidates - Summer UTS Oral examination 100/100 D
-
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"