May 27, 2022  
2021-2022 Catalog 
2021-2022 Catalog

MA 430 - Differential Geometry

The course introduces the main ideas and techniques of differential geometry, a mathematical discipline that studies geometry using methods of multivariable calculus. Topics include the theory of curves (arc length, velocity and acceleration vectors, curvature and torsion, moving frame) and the theory of surfaces (tangent plane, curvature, Theorema Egregium, fundamental forms, flux, geodesics, curvature tensor, manifolds).

Prerequisites & Notes
(Prerequisite: MA 222 or MA 202)

Credits: 3