DIFFERENTIAL GEOMETRY 1

MTG 6256


Instructor: Paul Robinson

Class: MWF 6; 217 Little Hall

Office: M ; W ; F

Text: Class notes


This course (along with the sequel) will cover the fundamentals of differential geometry, pertaining to smooth manifolds, vector fields and differential forms; having developed these fundamentals, the aim will be to explore the intimate relationships between Lie groups and symplectic geometry. This material will be prefaced by an account of differential calculus in normed spaces, up to the inverse and implicit function theorems.

Course grades will be assessed on the basis of performance in official homework assignments, which are to be completed without consultation, according to the honour code. In addition, students may be expected (gratis) to prepare and present topics to the class.
 


Homework 01 (dvi  pdfps)

Homework 02 (dvi  pdfps)

Homework 03 (dvi  pdfps)

Homework 04 (dvi  pdfps)

Homework 05 (dvi  pdfps)

Homework 06 (dvi  pdf ps)

Homework 07 (dvi  pdf ps)

Homework 08 (dvi  pdfps)

Homework 09 (dvi  pdfps)

Homework 10 (dvi  pdf ps)

Homework 11 (dvi  pdf ps)

Homework 12 (dvi  pdf  ps)

Semisample     (dvi pdf  ps )