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MATH 2040

Curves and Surfaces

3 cr · Undergraduate

(Lab required) Curves and surfaces in the plane and space. Intrinsic geometry of curves and surfaces: Serret Frenet frames, first and second fundamental forms, curvature and the Gauss map. Geodesics and parallel transport. Theorema Egregium and Gauss-Bonnet theorems.

Prerequisites & course information

PR/CR: A minimum grade of C is required unless otherwise indicated. Prerequisites: [one of MATH 1232 , MATH 1700 (B), MATH 1701 (B), or MATH 1710 (B)] and [one of MATH 1220 , MATH 1210 (B), MATH 1211 (B), MATH 1300 (C+), or MATH 1301 (C+)]; or consent of instructor. Pre- or corequisite: one of MATH 2150 , MATH 2151 , MATH 2720 , or MATH 2721 . Attributes: Mathematics Requirement, Science

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