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Introduction
Design >>
Implementation
Assessment
Highlights
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Catalog Description and Prerequisites >>
Class Size and Make-up
Course Philosophy
Course Objectives and Goals
Relationship with Other Courses in the Project
Syllabus
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The study of curves and surfaces in 2- and 3-dimensional Euclidean space using the techniques of differential and integral calculus and linear algebra. Topics include curvature and torsion of curves, Frenet-Serret frames, global properties of closed curves, intrinsic and extrinsic properties of surfaces, Gaussian curvature and mean curvature, geodesics, minimal surfaces, and the Gauss-Bonnet theorem. |