This page will contain suggested practice problems from the textbook and elsewhere to supplement the assigned homework. These do not need to be turned in.

2019 August 13: Week 12 practice problems are here; practice problems for the final are here. Some solutions for the latter are here.

2019 August 3: See the document here.

2019 July 26: See the document here.

2019 July 20: See the document here.

2019 July 13: See the document here.

2019 July 5: See the document here. Especially the last problem!

2019 June 21: See the document here. These problems cover the three main types of boundary-value problems we have seen so far, and go (within each type) roughly in order of increasing difficulty. Thus, if you like, you can do just problems 3, 4, 9, and 13 -- though the preceding problems are probably good warm-up problems.

2019 June 14: See the document here (I have tried to extract the mathematical core from a few problems from the Jackson text mentioned below).

2019 June 6: Section 4.3, 1--5 (5 is essentially part of Homework 5), 9--14. (These are all nice problems but also rather trivial. If I can get a hold of J.D. Jackson's Classical Electrodynamics text I will give you some more interesting ones.)

2019 May 31: See the document here.

2019 May 27: See the document here.

2019 May 23:

Section 0.2.3: 1, 3-7. (These are good practice in the general technique of separation of variables, though some of them are quite a bit more general than anything we have done in class so far. We should see examples closer to these in class today.)

Section 0.2.4: 1-2, 5. (All of the problems here are good practice.)

Section 0.3: 1-3, 5-8 (for 6, I would recommend replacing x/|x| by just x as this gives a set much closer to the Legendre polynomials we will be talking about in class today).

Section 1.1: 1-10 (note: for these problems, instead of (or, at any rate, in addition to) using the formulas in the textbook, I highly recommend viewing them as questions involving expansions in terms of an orthogonal set. Thus, for each problem, you should first determine the appropriate orthogonal set, write out the general expression for an expansion in terms of that set, and then compute the coefficients in the expansion as we have done in class).