Differential Geometry of Curves and Surfaces

3 Credits

Local and global differential geometry of curves and surfaces in Euclidean 3space. Frenet formulas for curves, isoperimetric inequality, 4vertex theorem; regular surfaces, first fundamental form, Gauss map, second fundamental form; curvatures for curves and surfaces and their relations; The GaussBonnet theorem. Prerequisites: ( MATH 023 or MATH 033 ) and ( MATH 205 or MATH 242 ) Attribute/Distribution: Q