In this course you will study the foundations of differential and integral calculus on smooth manifolds, along with applications of the theory in topology and geometry. One of the main purposes is to acquaint you with differential forms and their great usefulness in many areas of mathematics. The course is one of the first you will take as a graduate student in mathematics.
The course is given
- in the second half of spring
- every second year
- Course coordinator: Grigori Rozenblioum