This unit introduces topological and geometric concepts from a constructive perspective in dimensions two, three and four. Students investigate, via concrete examples, such ideas as homeomorphisms and diffeomorphisms of manifolds; curvature; vector bundles; and elements of the machinery for describing space-time used in physics. -- Course Website
Instructor: Winthrop Professor Lyle Noakes
Prerequisites: MATH2209 Calculus and Probability or MATH2040 Engineering Mathematics or MATH2300 Fundamental Concepts in Mathematics