# Math 12: Exam Review Materials

## Final review materials

I will not link to specific problems on exams from other universities for you to study; you can consult many of the exams listed below and look for problems that cover topics which will be on our final.

A review guide for the final is available.

## Midterm 2 review materials

A review guide for the second midterm is available.

Here are some problems from a variety of different sources that you may find useful in preparing for the second midterm. There are NO guarantees that the problems which appear in the midterm will look at all like the problems listed here, although the topics will more or less be the same.

- Math 8, Fall 2010 Final, problems 15, 16.
- Math 13, Spring 2011 Midterm 1, every problem except problems 5, 8, 11, 13.
- Math 13, Winter 2010 Midterm 1, problems 2-6.
- Math 201, Spring 2008 midterm from Princeton, Problems 5, 7
- Math 201, Spring 2008 final from Princeton, Problems 2, 4abc, 6, 7
- Math 201, Fall 2007 midterm from Princeton, Problems 2, 4, 5
- Math 203, Spring 2008 midterm from Princeton, Problems 3, 6
- Fall 2007 18.02 from MIT list of practice exams.
Solutions to problems are available here; some problems to try include exam 2A: #4, 5, 6, 7, 2B: 3, 4, 5

## Midterm 1 review materials

A review guide for the first midterm is available.

Here are some problems from a variety of different sources that you may find useful in preparing for the first midterm. There are NO guarantees that the problems which appear in the midterm will look at all like the problems listed here, although the topics will more or less be the same.

- Math 8, Fall 2010 Midterm 2, problems 5 - 10. (You should also remember how to do 1-4, though you won't be tested on it.) The problems on this exam are probably a bit easier on average than what you'll see.
- Math 13, Spring 2011 Midterm 1, problems 5, 8, 11, 13. Most problems on this exam deal with integration, which we will cover later, so this could be a useful resource for the second midterm and the final.
- Math 201, Spring 2008 midterm from Princeton, Problems 1, 2, 3, 4a, 6, 7ac.
- Math 201, Fall 2007 midterm from Princeton, Problems 1, 3, 6
- Math 203, Spring 2007 midterm from Princeton, Problems 1, 2, 4, 7
- Fall 2007 18.02 from MIT list of practice exams.
Solutions to problems are available here; some problems to try include exam 1A: #1, 2, 4, 5, 6 (some of these we've done as homework problems), 1B: #1, 2, 3, 5, 2A: #1, 2, 3 (don't take the estimation problem in #2 too seriously), 2B: #1, 2, 5b, 6a