UMD MATH 437 Entire Class

University of Maryland MATH 437 Differential Forms Entire Class

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, symplectic geometry, and Hamiltonian dynamics.

Note: This entire class includes discussions, assignments, course projects, and exams.