MATH 356 Differential Geometry of Curves and Surfaces

3 Credit(s)

Differential geometry of curves and surfaces in Euclidean spaces, as an introduction to the geometry of Riemannian manifolds. The course presents intrinsic and extrinsic properties, both from a local and global point of view. Topics include; plane and space curves, surfaces, metrics on surfaces, Gaussian curvature, surfaces of constant curvature, shape operator, mean curvature and minimal surfaces, vector fields on surfaces.

Enrollment Requirements:
Prerequisites: MATH 242 and 260