MATS215 Algebraic Topology (9 cr)
Grading scale
0-5
Teaching languages
English
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
Study methods
Lectures, written homework problems, course exam // or final exam
Content
Basics of the theory of algebraic topology: Fundamental group and homology (Chapters 1 and 2 in Hatcher鈥檚 book)
Literature:
| ISBN-number | Author, year of publication, title, publisher |
|---|---|
| 0-521-79540-0 | Hatcher: Algebraic topology |
| 0-131-81629-2 | Munkres: Topology |
| 0-201-62728-0 | Munkres: Elements of algebraic topology |
Assessment criteria
*course exam 60%
*written homework 30%
*active participation 10%
Prerequisites
Algebra 1: Groups, Metric spaces, Topology. Complex Analysis is also useful.