18.303 | Fall 2006 | Undergraduate

Linear Partial Differential Equations

Course Description

This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green’s functions.
Learning Resource Types
assignment_turned_in Problem Sets with Solutions
grading Exams with Solutions
notes Lecture Notes
Matlab plot showing time evolution of a temperature distribution.
Time evolution of the temperature distribution u(x,t) on a semi-infinite rod whose end (at x=0) is kept at 0. Initially (t=0), the temperature of the rod is 1 between x=0.5 and x=1.5, and is zero everywhere else. (Image by Dr. Matthew Hancock.)