18.101 Analysis II

Fall 2005

Image of a sequence of rectangles.
There exists a sequence of rectangles, Ri, i = 0, ..., N + 1 such that R0 = Q0, RN+1 = Q and Int Ri -intersect- Int Ri+1 is non-empty. (Figure by Prof. Victor Guillemin.)

Course Highlights

This course features lecture notes and two kinds of assignments: problem sets and daily homework.

Course Description

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.
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Prof. Victor Guillemin

Course Meeting Times

Three sessions / week
1 hour / session



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