Introduction to Geometry & Topology I (Math 6457)
Fall 2012, Georgia Tech

T Th 3:05-4:25 Skiles 255


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 A Comprehensive Introduction to Differential Geometry, Vol. I, by M. Spivak, and Algebraic Topology by Allen Hatcher.


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