Topology is a major branch of modern mathematics. Topology is often described as rubber sheet geometry. In geometry objects are considered rigid with fixed distances and angles, but in topology distances and angles can be deformed. In topology objects are treated as if they are made out of rubber, capable of being deformed. Objects are allowed to be bent, stretched or shrunk but not allowed to be ripped apart or cut. For example, in topology a coffee mug and a doughnut are the same! In this course we will develop the mathematical framework to understand the above ideas.