Course - Algebraic Topology - MA3403
MA3403 - Algebraic Topology
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral examination | 100/100 |
Course content
The aim of the course is to show how basic geometric structures may be studied by transforming them into algebraic questions that are then subject to computations, thus measuring geometric and topological complexity. These methods are often used in other parts of mathematics, and also in biology, physics and other areas of application. The course is meant to give a basis for studies in topology, geometry, algebra, and applications. An introdution to simplicial complexes, homology theory, homotopy theory, category theory, cohomology theory, and duality theory is given, along with specific examples of computations.
Learning outcome
1. Knowledge. The student has knowledge of fundamental concepts and methods in algebraic topology, in particular singular homology and cohomology theory.
2. Skills. The student is able to apply his or her knowledge of algebraic topology to formulate and solve problems of a geometric-topological nature in mathematics and its applications.
Learning methods and activities
Lectures and project/term paper. Oral exam which counts 100 %. The lectures will be given in English if they are attended by students
from the Master's Programme in Mathematics for International students.
Recommended previous knowledge
The course is based on TMA4100 Calculus I, TMA4105 Calculus 2, TMA4110/4115 Calculus 3 and TMA4120/4125/4130/4135 Calculus 4. Some knowledge of general topology and algebra, for example MA3002 General Topology and MA2201 Algebra, is an advantage.
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 2016
Language of instruction: English, Norwegian
-
- 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 2016-12-13 09:00
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Room Building Number of candidates - Summer KONT Oral examination 100/100
-
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"