MAT 3000: Elementary Differential Geometry

Syllabus: Space curves, Curvature and orientability of surfaces, Gauss-Bonnet theorem, Brief introduction to metric geometry Hopf-Rinow theorem.

Prerequisites: Calculus, Multivariable Calculus, Real Analysis, Metric and topological spaces.

References:

1. M  P. do Carmo: Differential Geometry of Curves and Surfaces, Prentice-Hall, (1976).
2. A. Pressley: Elementary Differential Geometry, Springer, 2010.