MA 418

Differential Geometry

Geometry of curves and surfaces, curvature, geodesics, first and second fundamental forms, the Gauss Theorema Egregium and the Gauss-Bonnet theorem. Differential forms and vector fields. Line and surface integrals. The divergence and Stoke's theorems. Prerequisites: MA201, MA222, MA205, and a 0.5 MA credit at the 300 level. Exclusions: MA419.