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