Prof. Victor Guillemin
This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds.
Guillemin, Victor. 18.101 Analysis II, Fall 2005. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005 (Accessed). License: Creative Commons BY-NC-SA