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Differential Forms
MATH 252
Fall 2021
Section: 01  

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.
Credit: 1 Gen Ed Area Dept: NSM MATH
Course Format: LectureGrading Mode: Graded
Level: UGRD Prerequisites: (MATH221 AND MATH222) OR (MATH222 AND MATH223)
Fulfills a Major Requirement for: (COMP)(MATH)
Past Enrollment Probability: 75% - 89%

Last Updated on JUN-15-2024
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