MATS215 Algebraic Topology (9 cr)
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
*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
Select all marked parts
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
9/9–12/22/2019 Lectures
x
Exam (9 cr)
Type:
Exam
Grading scale:
0-5
Language:
English