  These lecture notes for the course APM 351 at the University of Toronto are
aimed at mathematicians and physicists alike. It is not meant as an
introductory course to PDEs, but rather gives an overview of how to view and
solve differential equations that are common in physics. Among others, I cover
Hamilton's equations, variations of the Schr\"odinger equation, the heat
equation, the wave equation and Maxwells equations.
