Mathematics

MATH 208 Manifolds I

Definition of manifolds; the tangent bundle; the inverse function theorem and the implicit function theorem; transversality; Sard's theorem and the Whitney embedding theorem; vector fields, flows, and the Lie bracket; Frobenius's theorem. MATH 204 recommended for preparation.

Requirements

Enrollment is restricted to graduate students.

Credits

5

Quarter offered

Fall

Instructor

The Staff