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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Lecture Notes
![Image of a sequence of rectangles.](/courses/18-101-analysis-ii-fall-2005/d6cb407b899efae9c3d1f5d19af09815_18-101f05.jpg)
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.)