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Differential Geometry

MATH 3380

School of Natural Sciences and Mathematics

Curves and surfaces, multilinear algebra, alternating tensors, tangent vectors, tangent space, vector fields, differential forms; Curvature and torsion of curves, Riemannian metrics, curvature of surfaces, isometries, geodesics, Gauss map, First and Second Fundamental Forms, area on surfaces, Gauss-Bonnet Theorem, surfaces with constant negative curvature and elements of hyperbolic geometry. 3 credit hours.

Prerequisites: (MATH 2451 or MATH 3351) and MATH 2418 and MATH 2420 or equivalent courses.

Offering Frequency: Each year

Grades: 200

Median GPA: B+

Mean GPA: 2.931

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