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MATH-4230 (3) Differential Geometry of Curves and Surfaces
Introduces the modern differential geometry of plane curves, space curves, and surfaces in 3-dimensional space. Topics include the Frenet frame, curvature and torsion for space curves; Gauss and mean curvature for surfaces; Gauss and Codazzi equations, and the Gauss-Bonnet theorem. Same as MATH 5230. Requisites: Requires prerequisite courses of MATH 2400 or APPM 2350 and MATH 3130 or MATH 3135 and MATH 2001 (all minimum grade C-).