Math 407 - Differential Geometry

Course Description: Curves, Parametrization, Arclength, Tangent, Normal, Binormal vectors, Curvature, Torsion, Frenet-Serret equations, Fundamental theorem of curves, Surfaces, Tangent planes, Normal vectors, First and second fundamental forms, Gauss map, Curvature notions for surfaces, Theorema Egregium, Smooth manifolds, Vector bundles, Tangent and cotangent bundles, Tensors, Vector fields, Differential forms, Cartan calculus, Metrics, Connections, Curvature, Torsion, Non-metricity tensors, Schouten decomposition, Fundamental theorem of Riemannian geometry, Einstein tensor

You can find the syllabus here.

Classes: Tue 13.30 - 16.30, Business Administration Building Classroom 3

Instructor: Asst. Prof. Keremcan Doğan (keremcandogan[at].gtu.edu.tr)

Office Hours: Thu 16.30 - 17.30 (by appointment), Business Administration Building, Mathematics Department Z49