The Mathematics of Physics

Undergraduate

Mathematical topics/methods ubiquitous in physics, to give accelerated access to upper-level physics courses by providing the essential background in mathematics: central differential equations of physics and their solutions (e.g. Bessel functions, spherical harmonics, orthogonal polynomials); vector/function spaces, Fourier series/orthogonal function expansions; calculus of complex variables, residue theorem; Schwartz distributions; Green’s functions; with time permitting, selected topics of current interest in mathematical/theoretical physics. (Prerequisites: MATH-2780 and MATH-2790, or equivalent. Recommended: PHYS-1500.) (3 lecture hours per week.)