The following notes were prepared for an undergraduate directed reading program in Combinatorial Topology I oversaw in the Spring of 2023. The prerequisites for the course were multivariate calculus, and familiarity with ordinary differential equations. The text was “A Combinatorial Introduction to Topology” by Henle. Bi-weekly meetings to discuss and elaborate the material, with a capstone presentation where the students provided a combinatorial proof of the Brower fixed point theorem. (It was a very fun and rewarding course! The proof of Brower Fixed Point is straight-forward and elegant.)