Math 46100: Differential Geometry
The theory of curves and surfaces in three-dimensional space: frames, fundamental forms, geodesics; curvature of surfaces; surface area; surfaces with boundary, the Gauss-Bonnet Theorem; introduction to Riemannian metrics. Prereq.: Math 32500 or 32404 or permission of the instructor. 4 HR./WK.; 4 CR.
This is an undergraduate version of Math A6100. You must take the graduate version if you want graduate credit.