They provide universal descriptions on our world from different angles. Together they gave us the deepest insight toward the nature and the society.
Topology is the mathematical subject that study the spatial forms.
Differential Topology studies the interaction between the calculus and the spatial forms. In Math 321, you have got a taste of the differential topology. In Math 323, we will sample the most important topics in the general topology and the combinatorial topology. Although the course has no explicit requirement on any previous knowledge, Math 323 can easily be the most difficult course for you because of its heavy demand on your mathematical maturity. Nevertheless, the course can also be the most intellectually rewarding in your three years of college life.