Spring 2009 not offered
This class will be an introduction to differential forms, a central tool in modern topology, geometry, and physics. The course begins where MATH222 ends, with Green's theorem, the divergence theorem, and Stokes' theorem. All of these theorems are special cases of one theorem, known as the general Stokes' theorem, about integration of differential forms. The objective of the first part of the course will be to understand and prove this theorem. We will then discuss manifolds and what can be learned about them using differential forms, concentrating on de Rham cohomology.
||Gen Ed Area Dept:
|Course Format: Lecture||Grading Mode: Graded|
||Prerequisites: MATH222 AND (MATH221 OR MATH223)
||Fulfills a Major Requirement for: (COMP)(MATH)
|Additional Requirements and/or Comments: |
The student should have already taken MATH222 and either MATH221 or MATH223, and should be aware that this is a proof-based class with some computations.
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