MAT 529 - Basic Topology and Geometry (for Masters Program)

A broadly based introduction to topology and geometry, the mathematical theories of shape, form, and rigid structure. Topics include intuitive knot theory, lattices and tiling, non-Euclidean geometry, smooth curves and surfaces in Euclidean 3-space, open sets and continuity, combinatorial and algebraic invariants of spaces, higher dimensional spaces. There will be a required short paper on the fundamental group of a topological space or some similar topic.

3 credits

Grading Letter graded (A, A-, B+, etc.)

Offered Fall