Basic topology of Euclidean space, Fubini's theorem, the total derivative, change of variable in multiple integrals, inverse and implicit function theorems, submanifolds of Euclidean spaces, differential forms, Stokes' theorem in arbitrary dimension.
This course may not be repeated for credit.
- Mathematics 367 or 377 or 381 or Applied Mathematics 309 or "B+" or higher in Mathematics 353; and Mathematics 313 or "B+" or higher in Mathematics 311; and Mathematics 355 or Pure Mathematics 455 or "B+" or higher in Mathematics 335 or Pure Mathematics 435. Alternatively, consent of the Department.
- Credit for more than one of Mathematics 445, 447 or Pure Mathematics 545 will not be allowed.
This course will be offered next in Winter 2018