This class is an introduction to differential manifolds. Topics covered include differential structures, inverse function theorem, Morse-Sard theorem, embeddings and immersions, Whitney's 2n+1 embedding theorem, transversality.
Prerequisites
Real analysis, and basic topology.
Textbooks
Differential Topology by Guillemin and Pollack, Prentice Hall, 1974.
Grading
The grade is based on class participation, homework assignments, and possibly one or two take home exams.