Methods of Mathematical Physics -- linear algebra and vector spaces: inverses, determinants, unitary matrices, inner products, diagonalization, eigenvectors, eigenvalues. Fourier series and transforms; ordinary differential equations: homogeneous and inhomogeneous; first order and second order equations, power series methods. Partial differential equations: separation of variables, Green’s functions. Complex analysis: analytic functions, singularities, calculus of residues.Weighted grade systems (higher values for tougher classes) have a slew of problems, including identifying which classes get the higher values, and students have whole new, inventive ways to game that system.
Prerequisites: multivariable calculus -- yes;
"The Jazz of Physics" -- "aimed at both students in the humanities and sciences, will explore the myriad surprising ways that jazz music is connected to modern physics. No background in physics, mathematics or music is required, as all of these 'foundational concepts and tools' will be introduced," -- yeah, not so much . . .