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
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.)
