MATS215 Algebraic Topology (9 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023
Description
Basics of the theory of algebraic topology: Fundamental group and homology (Chapters 1 and 2 in Hatcher’s book)
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
Algebra 1: 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
Evaluation criteria:
Course exam, written homework problems
Select all marked parts
Method 2
Evaluation criteria:
Final exam
Select all marked parts
Parts of the completion methods
x
Teaching (9 cr)
Type:
Participation in teaching
Grading scale:
0-5
Language:
English
x
Exam (9 cr)
Type:
Exam
Grading scale:
0-5
Language:
English