Algebraic topology aims to capture essential features of topological spaces in terms of algebraic objects like groups and rings. Topics shall include the Fundamental Group, Seifert van Kampen Theorem, Covering Spaces, and Simplicial Homology. Applications shall include the classification of surfaces, classical theorems like the Brouwer Fixed Point theorem and the Borsuk-Ulam theorem, and a bit of knot theory. We shall mostly refer to the books by Massey and Hatcher.

There will be weekly homework or quizzes based on homework, a midterm and a final exam.