MAT 322 2.0 Differential Geometry

Course:  MAT 322 2.0 Differential Geometry (Compulsory)

Course Content:

Curves and arc length; Regular curves; First fundamental form; Gauss map; Shape operator; mean and Gauss curvatures; Second fundamental form; totally umbilic surfaces; normal curvatures; Isoperimetric inequality; Gauss-Bonnet theorem; applications of Gauss Bonnet theorem.

Recommend Readings:

1. 1. Carmo, M. P. D. (2017). Differential geometry of curves and surfaces (“Revised,” “Updated,” “2” ed.). Dover Publications.
   2. Shifrin, T. (2016). Differential geometry: A first course in curves and surfaces preliminary version summer.
   3. Banchoff, T., & Lovett, S. (2010). Differential geometry of curves and surfaces. A K Peters.
   4. Gibson, C. G. (2001). Elementary geometry of differentiable curves: An undergraduate introduction,. Cambridge University Press.