APM 346 Partial Differential Equations
Course Material
 Some notes on the method of characteristics, using the radiative transport equation.
 Some problems and solutions for the first two weeks.
 Some more problems and solutions for the first two weeks.
 A primer on complex numbers and functions.
 Some problems for the first three weeks.
 A previous midterm to help prepare you for ours.
 Some problems for the first five weeks.
 Some problems on waves.
 Some problems on harmonic functions.
 Here are the scores on the first test.
 Here is a midterm to help prepare you for ours.
 Some problems on regular SturmLiouville ODE EVPs.
 Here is Kac's seminal paper. You can read pages 14. If you are inclined/interested you should also be able to read the whole thing.
 Here are the scores on the second test.
 Some problems on highdimensional problems and Green's functions.
 Some problems on Fourier Transforms.
 A derivation of d'Alembert's formula via Fourier transform methods.
 Some selected solutions to the final problem set.
 A list of topics covered this term.
Some Solutions to Problems
 Here are some solutions, provided by students, to some of the Haberman problems.
 1.2.6, 1.4.11 (continued), 1.5.3,
2.3.7, 2.4.4, 2.5.10, 2.5.13,2.5.14 (continued), 2.5.15,
3.2.2(continued) (continued) (continued) (continued), 3.3.6, 3.3.18, 3.6.2,
4.4.12
12.3.1 & 5, 12.3.4,
3.3, 5.15.5.2 (continued) (very nice), 5.5.7
Additional Resources
 Online MAT346 book from previous year which we shall follow in part
 Guillaume Bal's course notes for a similar course at Columbia University in New York which we shall follow in part
 Wonderful Lecture notes from a similar course at MIT
 Mark Spiegelman's notes on conservation equations
 Gorgeous notes on the fundamental theorem of linear algebra (with pictures!) by Gilbert Strang

