MATH 471 - Topology

A course in both theoretical and computational mathematics. Theoretical concepts include fundamental ideas from point set topology—continuity, convergence, and connectedness—as well as selected topics from algebraic topology—the fundamental group, elementary homotopy theory, and homology. This theoretical framework provides a backbone to understand new advances in topological data analysis. Applications are chosen from diverse fields such as biological aggregations, medicine, image processing, signal processing, and sensor networks. This course counts towards the capstone requirement. Prerequisite(s): MATH 365 or MATH 375 or MATH 376 or MATH 377 or MATH 378 or MATH 379 . Alternate spring semesters. (4 Credits)