MATH 4314 - Differential Geometry

Credits: 3 Class: 3 Lab: 0
Crosslisted: MATH 5314.
Prerequisite(s): A grade of C or better in MATH 2402 and MATH 2307.
Geometry of curves and surfaces is introduced and applications are discussed. Topics are chosen from parametic equations, tangent and normal vectors, curvature and torsion, first and second fundamental forms, geodesics and isometries. Surfaces of constant curvature are discussed as models of non-Euclidean geometries.