MATS215 Algebraic Topology (9 cr)

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Study level:
Advanced studies
Grading scale:
0-5
Language:
English
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2017-2018, 2018-2019, 2019-2020

Description

Content

Basics of the theory of algebraic topology: Fundamental group and homology (Chapters 1 and 2 in Hatcher’s book)

Completion methods

Lectures, written homework problems, course exam // or final exam

Assessment details

*course exam 60%
*written homework 30%
*active participation 10%

Learning outcomes

After completing the course, students are familiar with
*basic properties of the fundamental group, covering spaces, and homology groups
*basic techniques for calculating fundamental and homology groups
*classical applications of algebraic topology

Description of prerequisites

Groups, Metric spaces, Topology. Complex Analysis is also useful.

Literature

  • Hatcher: Algebraic topology; ISBN: 0-521-79540-0
  • Munkres: Topology; ISBN: 0-131-81629-2
  • Munkres: Elements of algebraic topology; ISBN: 0-201-62728-0

Completion methods

Method 1

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Method 2

Select all marked parts
Parts of the completion methods
x

Teaching (9 cr)

Type:
Participation in teaching
Grading scale:
0-5
Language:
English

Teaching

x

Exam (9 cr)

Type:
Exam
Grading scale:
0-5
Language:
English

Teaching