MATH 4405 - Differential Geometry

Hours: 3
A study of curves and surfaces. Topics include parameterized curves in R3, local invariants of curves, plane curves, regularity, calculus on surfaces, metric geometry, isometrics between surfaces, normal curvature, Gaussian curvature, geodesics and geodesic curvature.
Prerequisites: MATH 2500, 2700, and 3000 or 3100.