Curves and Surfaces

3 credits · Undergraduate Programs

The fundamentals of the theory of curves and surfaces in three dimensional space. The theory of curves studies global properties of curves such as the four vertex theorem. The theory of surfaces introduces the fundamental quadratic forms of a surface, intrinsic and extrinsic geometry of surfaces, and the Gauss-Bonnet theorem. Prerequisite(s): Mathematics 271; and Mathematics 367; and Mathematics 375 or 376.