MATH4210

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MATH4210 - Surfaces (3 cr)

MathematicsSC - College of Science

Description

Introduction to the geometry and calculus of surfaces in 3-dimensional Euclidean space. Topics include regular surfaces, differentiable functions on surfaces, first fundamental form, area, orientability, the Gauss map, curvature, the hyperbolic plane including geodesics and isometries, Gauss-Bonnet, differential forms, surface integrals, Stokes's Theorem, and Green's Theorem.

Minimum Credits

3

Maximum Credits

3

Repeat for Credit

No

Required Requisite(s):

Prerequisites: 'C' or better in MATH 3220

Semesters Typically Offered

Spring