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.
n-dimensional Riemann integral, manifolds, Mathematical Analysis, inverse and implicit function theorems, change of variables in multiple integrals, differential forms, Topology and Geometry, Calculus, and n-dimensional version of Stokes' theorem, Differentiable maps
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