|Office Hours||T-TH 1:30-2:30 PM and by request|
|Phone||578-1608 and 225-337-2206 (cell)|
|Text:||Introduction to Smooth Manifolds by John M. Lee. We also recommend Foundations of Differentiable Manifolds and Lie Groups by Frank W. Warner|
This is an introductary course on differential geometry which is a basic prerequist for several topics in mathematics, in particular Lie groups and analysis. The main goal is to introduce basic concepts that are fundamental for any further study involving manifolds and clarify those concepts by examples. This includes:
We will mostly follow the book Introduction to Smooth Manifolds by J. M. Lee, but we also recommend the book Foundations of Differentiable Manifolds and Lie Groups by F. W. Warner. The above material corresponds approximately to chapters 1-9 in the book by Lee. Depending on the time and interests we will try to cover selected material from chapters 10, 12, 14 or 20.
There will be one midterm test and on final. The midterm will count 40% and the final 60%. We will also give homework, but those will not be graded. Instead I will offer a problem session every second Wendesday.