Hours 36L 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. Prerequisite MAT257Y1/ ( MAT224H1/ MAT247H1, MAT237Y1, MAT246H1/ MAT157Y1) Recommended Preparation MAT257Y1, MAT240H1, MAT247H1 Distribution Requirements Science Breadth Requirements The Physical and Mathematical Universes (5)