Differential Geometry

Differential Geometry
Geometry of smooth curves and surfaces. Topics include the first and second fundamental forms, the Gauss map, orientability of surfaces, Gaussian and mean curvature, geodesics, minimal surfaces and the Gauss-Bonnet Theorem.
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMATH 314; Math 341 or equivalent.
 RecommendedMath 342 or equivalent.
 TaughtFall odd years
Course Outcomes

Geometry of smooth curves and surfaces.

The main purpose of this course is to provide students with an understanding of the geometry of curves and surfaces, with the focus being on the theoretical and logical foundations of differential geometry. For more detailed information visit the Math 465 Wiki page.