MATH437

Differential Forms

Prerequisite: 1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (MATH240, MATH341, MATH461). Recommended: MATH405, MATH403, MATH436, MATH410, or MATH432. Introduction to differential forms and their applications, and unites the fundamental theorems of multivariable calculus in a general Stokes Theorem that is valid in great generality. It develops this theory and technique to perform calculations in analysis and geometry. Topics include an introduction to topological spaces, the Gauss-Bonnet Theorem, Gauss's formula for the linking number, and the Cauchy Integral Theorem. Applications include Maxwell's equations of electromagnetism, connections and gauge theory, and symplectic geometry and Hamiltonian dynamics.

Spring 2022

21 reviews
Average rating: 3.00

Past Semesters

36 reviews
Average rating: 4.19

9 reviews
Average rating: 4.22

0 reviews
Average rating: N/A

8 reviews
Average rating: 3.63

0 reviews
Average rating: N/A

31 reviews
Average rating: 4.26

0 reviews
Average rating: N/A

* "W"s are considered to be 0.0 quality points. "Other" grades are not factored into GPA calculation. Grade data not guaranteed to be correct.