course-details-portlet

MA3403 - Algebraic Topology 1

About

Examination arrangement

Examination arrangement: Oral examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
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 teacher, 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. If the course is taught in English, the exam will be given only in English. In general, the exams are oral, but if the number of participants makes oral exams too time consuming, then the exam may be in written form.

Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see "Teaching methods and activities".

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 2019

No.of lecture hours: 4
No.of specialization hours: 8

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

Phone:

Examination

Examination arrangement: Oral examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Autumn ORD 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"

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