Math 465: Intro to Differential Geometry

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Catalog Information

Title

Differential Geometry.

(Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

Prerequisite

Math 214; 315 or equivalent. Recommended: Math 316 or equivalent.

Description

Geometry of smooth curves and surfaces. Topics include the first and second fundamental forms, the Gauss map, orientability of surfaces, Gaussian and mean curvature, geodesics, minimal surfaces and the Gauss-Bonnet Theorem.

Desired Learning Outcomes

Prerequisites

Minimal learning outcomes

Additional topics

Courses for which this course is prerequisite