An introduction to local differential geometry, laying the groundwork for both global differential geometry and general relativity. Submanifolds of n-dimensional Euclidean space. Embedded curves and the intrinsic geometry of surfaces in Euclidean 3-space. Metrics, geodesics, and curvature. Gaussian curvature and the Gauss-Bonnet theorem. [Offered: W] Prereq: (AMATH 231 or MATH 247) and MATH 235 or 245; Not open to General Mathematics students
