MAT 457 - Differential Geometry

Theory of curves and surfaces in Euclidean space. Frenet formulas, curvature and torsion, arc length; first and second fundamental forms, Gaussian curvature, equations of Gauss and Codazzi, differential forms, Cartan’s equations; global theorems.

Credit Hours: 3

Prerequisite Courses: MAT 365 or MAT 411
Crosslisting: MAT 557
Course Repeatability: Course may not be repeated.