Differentiable Manifolds (미분다양체론)

In this course, we learn about the foundation of differential structures on manifolds; what is a manifold?

how to define differentiable structures, what are smooth functions on manifolds, what are vectors and

tensors of manifolds, what about tangent bundles and tensor bundles on manifolds, what are differential forms,

and how does one integrate differentiable forms will be answered in this course. Also, Stokes

theorem and the cohomology group of spheres will be computed. One needs to have a good

knowledge of point-set topology theory to understand this course.

For text, we use Sprivak's "Comprehensive introduction to differential geometry, volume 1",

and the book by Hong Jong Kim and Yoon, GARC Lecture note No 10, and sometimes

Boothby's "An introduction to differentiable manifolds and Riemannian geometry."

Exams (I'll update them as soon as I find them)