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
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