Introduction to Differential Geometry

Prerequisites: (CASMA 225 or CASMA 230) and (CASMA 226 or CASMA 231) and (CASMA 242 or CASMA 442) or consent of instructor. - Study of local properties of curves and surfaces in the three-dimensional Euclidean space; curvature, torsion, Frenet equations, tangent and normal planes; first and second fundamental form; developable surfaces, principal, mean and Gaussian curvature; vector fields, covariant differentiation, geodesics, surfaces of constant curvature.