Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths

This course on Algebraic Topology covers the following learning outcomes and goals: understanding the fundamental group, defining homotopy equivalence, computing the fundamental group of various spaces such as the plane, sphere, circle, and torus, and applying the fundamental group in proving Brouwer's Fixed Point Theorem. The course teaches the alphabet of topology, the algebra of loops about a ring, and the concept of homotopy equivalence. The teaching method involves theoretical explanations, computations, and a proof demonstration. The intended audience for this course includes individuals interested in advanced mathematics, specifically algebraic topology and its applications.