MA3403 - Algebraic Topology

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 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.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA333 7.5

Timetable

Detailed timetable

Examination

Examination arrangement: Oral examination

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Autumn ORD Oral examination 100/100 D 2016-12-13 09:00
Summer KONT Oral examination 100/100 D
  • * 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.