Summary McGill MATH 271 (Partial Differential Equations) Cheat Sheet - 1 Page

Full Cheat Sheet for Partial Differential Equations and Advanced Linear Algebra. Very useful for people who are learning PDEs in general, but especially tailored to MATH 271 Students at McGill. The cheat sheet has extra pages where zoomed in sections of the cheat sheet are shown so you can read the things clearly. 1. Partial Differential Equations The derivations of the fundamental partial differential equations governing engineering systems: fluid flow, diffusion of heat and steady state temperature distribution, electromagnetic theory and vibrations. Poisson (Laplace), Diffusion, Wave equations, Boundary conditions, uniqueness of solutions, solutions of boundary value problems using Fourier series and inner products 2. Linear Algebra Vector spaces, inner product spaces, eigenvalues and eigenvectors, Hermitian operators, Fourier expansions. 3. Sturm-Liouville Theory Applications and solutions of boundary value problems in spherical and cylindrical coordinates, Legendre polynomials and Bessel functions, generalizations. Solutions by eigenvalues and eigenvectors