course-details-portlet

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. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA333 7.5
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2022

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Topology
  • Topology and Geometry
  • Mathematics
Contact information
Course coordinator:

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
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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU