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

Mathematics 3355 Geometry of Curves and Surfaces

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




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