MAT 432 Differential Geometry

Metric spaces, Curves in Euclidian 3 space (E3): Curvature, torsion, fundamental theorem of ordinary differential equations, fundamental existence theorem for space curves. Surfaces in E3: geometry on a surface, Inverse Function Theorem, Implicit Function Theorem, and Gauss curvature. Coordinate charts, Fubini's Theorem, orientation and an introduction to Riemannian Geometry..

Credits:

4

Hours

4

Requirement Designation

Regular Liberal Arts

Offered

Fall-Spring

Prerequisite

MAT 313 and MAT 320.