Sample midterm problems:

- Somebody else's old Midterm 1 (pdf); AMSLaTeX.
- Somebody else's old Midterm 2 (pdf); AMSLaTeX.
- A few additional sample problems (pdf); AMSLaTeX.

Solutions to the sample midterm problems:

- Solutions to the old Midterm 1 (pdf); AMSLaTeX.
- Solutions to the old Midterm 2 (pdf); AMSLaTeX.
- Solutions to the additional sample problems (pdf); AMSLaTeX.

Midterm:

The wording in some of the problems on the posted version has been made more specific.Midterm solutions:

- Revised midterm solutions (pdf); AMSLaTeX. Scratchwork has been added to the solution to Problem 4. Another solution, with comments, has been added to Problem 5a. The solution to Problem 6 has been completely redone.
- Difference file between these solutions and the version handed out (pdf); AMSLaTeX. Reverse difference file (pdf); AMSLaTeX. The difference file has new text wavy underlined in blue and old text crossed out in red; the reverse difference file reverses the color scheme. More information.

Corrected sample problems for the final exam: Pdf version. A few misprints have been corrected. There is also a new Problem 18 at the end; it is what Problem 17 was supposed to be. Also see the problems here involving complex numbers.

Solutions to the sample problems for the final exam: Pdf version. Not enough proofreading has been done, and there is extra credit for finding misprints and mistakes.

All sample and real midterm problems are also fair game.

The final exam will be 200 points; the total value of the sample problems is considerably more. Point values on samplke problems are rough. The distribution of topics might not be representative of the real exam. The instructions will be essentially the same as on the real midterm.