Introduction to Geometry & Topology I (Math 6457)
Fall 2009, Georgia Tech

T Th 9:35-10:55 Skiles 240
Professor Mohammad Ghomi

Course Description
This class is an introduction to differential geometry and topology of manifolds. Topics covered include fundamental group, covering spaces, inverse function theorem, Vector fields, Morse-Sard theorem, embeddings and immersions, and degree theory. If time permits, we will also briefly discuss connections in a vector bundle, Riemannian metrics, and curvature, which are some of the topics from the second half of the course.

Real analysis, and basic topology.

Instructor's notes in addition to excerpts and references to Algebraic Topology by Allen Hatcher, and Introduction to Smooth Manifolds by John M. Lee.

The grade is based on class participation (the students are expected to attend all lectures), and homework assignments.