MATH8302
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MATH 8302 - Differential Topology (3 Cr.)
Course description
Smooth manifolds, tangent and cotangent bundles, vector bundles, inverse and implicit function theorems, Sard's theorem, the Whitney embedding theorem, vector fields and flows, transversality and intersection theory, Frobenius’ theorem, differential forms, integration and Stokes theorem, de Rham cohomology, the de Rham theorem, degree of a map, Morse theory (time permitting).
Minimum credits
3
Maximum credits
3
Is this course repeatable?
No
Grading basis
AFV - A-F or Audit
Lecture
Fulfills the writing intensive requirement?
No
Typically offered term(s)
Every Spring