Manifolds, partitions of unity, submersions and immersions, vector fields, vector bundles, tangent and cotangent bundles, foliations and Frobenius’ theorem, multilinear algebra, differential forms, Stokes’ theorem, Poincare-Hopf theorem.
Manifolds, partitions of unity, submersions and immersions, vector fields, vector bundles, tangent and cotangent bundles, foliations and Frobenius’ theorem, multilinear algebra, differential forms, Stokes’ theorem, Poincare-Hopf theorem.
