I have posted some practice problems here. (The explanation here should be read first!) The format for the term test will probably be somewhat similar to this (though of course with far fewer -- and probably slightly shorter -- problems!): problems on each of the three different coordinate systems we have used to solve Laplace's equation so far, of varying levels of difficulty.
These are practice problems, not example problems, which means I am not really inclined to produce full solutions -- the point is for you to work them out yourselves. I am however happy to read over (even partial) solutions, or discuss these problems in office hours.
I have gotten a request to post lecture notes for the gap in the middle of May. The short answer is that I do not possess lecture notes for the lectures during that gap (possessed I such I would surely have posted them) and cannot guarantee that I will find time to produce them before the term test. The lectures during that time were focussed on an introduction to separation of variables and solving Laplace's equation in rectangular coordinates; the first few problems on the above practice sheet should be good practice in that regard.
Let me know if you have any questions!
Nathan