MAT367H1: Differential Geometry

Hours: 
36L

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

Prerequisite: 

MAT257Y1/​( MAT224H1, MAT237Y1, MAT246H1,and permission of instructor)

Recommended Preparation: 

Multivariable calculus ( MAT257Y1), Linear algebra ( MAT240H1, MAT247H1)

Distribution Requirements: 
Science
Breadth Requirements: 
The Physical and Mathematical Universes (5)