**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2131 or 3012 **Description**: Planar curves, including the Jordan curve theorem and the isoperimetric inequality; space curves, including the Frenet frame, indicatrices and total curvature, knots and links; regular surfaces; first and second fundamental forms; tensor notation; Gauss’ equations and Christoffel symbols; geodesics; the Gauss-Bonnet theorem and applications. **Offering:** 3-0; or 3-0