Two things:
1) The MIT course analogous to ours is 8.022. Open courseware is awesome.
2) Problem 4 on your homework is the same as Purcell problem 2.30.
Actually, most of your problems so far have been from the Purcell book, as it turns out, which is also favored for 8.022 at MIT during certain semesters. Looking through the 8.022 content on the open courseware site is highly recommended. Typically very thorough and lucid solutions.
Not all their content is on the open courseware site yet, but it can be found. try googling "purcell 2.30 MIT 8.022" and look at the first couple of links.
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