Undergraduate Prerequisites: (CASMA225 OR CASMA230) and (CASMA226 OR CASMA231) and (CASMA242 or CASMA442); or consent of i nstructor. - 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.