Undergraduate Catalog 2017-2018
MTH 445 Introduction to Differential Geometry
4 hours; 4 credits
An introduction to calculus on curves and surfaces in two and three dimensional Euclidean spaces using the techniques of differential and integral calculus and linear algebra. Topics will be selected from Frenet-Serret frames, intrinsic and extrinsic properties of surfaces, Gaussian and mean curvature, geodesics, minimal surfaces, and the Gauss-Bonnet theorem.
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