Study guide for the final
The exam will be a take-home exam. It will be cumulative, covering sections 1, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 20, 23, 26, 28, 29, 32 (through Theorem 32.5), and Theorem 34.1.

Special note to seniors: All senior work is due by the end of the last exam period at 9:45 pm on April 13th. If you plan to hand the final in later than 5pm on April 13th, please let me know. I have to leave town for Princeton early in the morning of April 14th, so I need to have your exams by then if I want to have your grades turned in on time. It will be easier for me if I can get them Sunday afternoon.
You may use your homeworks, your notes, and the course text during the exam. You may also use any notes that I put on ella and the homework solutions that I gave you. Once the exams are handed out, you may not speak to anyone but me about anything related to the course until the end of the exam period. All other aids (written, computer, human) are strictly forbidden).

The exam will contain several questions that are meant to be straightforward computatations using definitions and theorems. For example, you may be asked to compute a lim sup, limit, derivative, etc. No hints will be given for these questions.

There will also be several questions which I hope will push you to think creatively about the facts and ideas that you have learned. Part of becoming a sophistcated student of mathematics is learning how to see how ideas that you've learned fit together and to be able to use ideas to solve problems.

I will indicate on the exam which problems I think are challenging enough that hints will be possible. If you receive a hint on a problem, the maximum possible grade that you will receive on it will be a 70%. To request a hint, send me an email. The hints will be given to you in writing, so that everyone who requests a hint for a given problem will be given precisely the same hint.
You are responsible for all of the material from the first two midterms. In addition, you should be able to