A couple announcements:

Readings for this week: On Tuesday we discussed material broadly related to that in sections 4.2 (through 4.2.3), 4.3 (through 4.3.2, but only examples without phi dependence), and 1.6.5. Today we shall discuss material broadly related to that in sections 4.2.5, as well as the remaining examples in 4.3 dealing with nonazimuthally symmetric boundary data. (The material in 4.3.3 is a nice precursor of things we shall deal with in more generality later, when we talk about Green's functions, namely, nonhomogeneous equations; but I don't think we shall have time to talk about it at present.) We shall then go on to say a few words about the material in 3.1 before discussing Bessel functions (3.2 up to 3.2.7, particularly focussing on 3.2.1, 3.2.3, 3.2.5 and 3.2.7; for today, we shall always be considering the version of equation (3.2.1) with d = 2).

Suggested practice problems will be posted sometime after class this evening. Lecture notes for this week (including the promised but never delivered additional information on Legendre functions!) will be posted sometime today or tomorrow.

Going forwards, my goal is to pretty much finish Bessel functions and also have time to do some more problems involving the heat equation before the term test. Since next Thursday (June 13) will be the last day of class before the test, and since the test will be almost two weeks later, everything we cover will be on the term test. I previously indicated that the questions on the test would be similar to those on the quiz -- I will try to stick to this as far as possible, but as the course has progressed I have come to realise that the kinds of problems that can be set for a quiz are rather restricted, so it may be necessary for me to draw on problems from the homework which were never included on a quiz. The problems on the test will however be broadly similar to those on the homework, at least.

If any of you have time conflicts with the term test please let me know as soon as possible and I will be back in touch with you as soon as I know how to proceed.

I think that's all for now -- office hours today from 2--3 in Bahen 2139 as usual. See you this afternoon!

Nathan