Syllabus

MAS 520 Differential Geometry

Textbook:

Manifolds and Differential Geometry, Jeffrey Lee, GSM 107 American Mathematical Society.

Subjects:

Smooth Manifolds, Smooth Functions, Tangent Space, Vector Fields, Lie groups, 1-forms, Tensors, Differential forms, Integration, Riemannian Geometry, De Rham Cohomology.

Prerequisites:

Topology, Analysis of functions of several variables, surfaces theory.

Grading policy: 1/4 Mid-term exam, 1/2 Final term exam, 1/4 Homeworks.