Out of sequence exams are only offered for the following reasons:

- A medical excuse: please have your senior tutor or dean contact the course head.
- A university-sponsored event such as an athletic tournament, play, or musical performance: please have your coach or director contact the course head in advance; athletic practices and rehearsals do not count.
- A religious holiday: please send a brief email to the course head explaining your situation.
- Extreme hardship such as a family emergency: please have your senior tutor or dean contact the course head.

Exam dates are:

- Final exam - scheduled by the registrar

Exam 2 will be **Thursday 4/18, 5:30 - 7:30 pm**. You can find your seat assignment here. If you have a valid conflict (see the top of this page), please fill out this exam conflict form by Thursday 4/11 to arrange an earlier exam time. Please note that most sections and labs can be rearranged to accomodate an exam, and we expect you to contact your section organizers right away to arrange to attend a different section if your section conflicts with the 21b exam.

We will have a **review session** Friday 4/12, 4:30 - 5:45 pm in SC Hall D. We have asked for the review session to be taped.

- Here are the review session problems. Solutions will not be posted, but you are welcome to discuss them with a TF in office hours.
- Video of the review session will be posted here as soon as it is available.

The exam will focus on the material on Problem Sets 12 - 27, but it is cumulative in the sense that this material relies on the ideas and techniques from Problem Sets 0 - 11, so you will still need to be comfortable with those. Books, calculators, and notes will not be permitted on the exam.

We encourage you to start studying early by reviewing your notes, worksheets, and homework to help you recall the key definitions, skills, and concepts we've covered so far. Make a list of important definitions, ideas, and strategies for yourself, and explain to yourself why the strategies work. Here is some material that may help you with this review:

- A compilation of the learning objectives from Problem Sets 12 - 27
- Review questions - Here are some key questions to check your understanding of the material we've covered. (We won't post answers, but we're happy to talk about these with you in office hours.)
- Interactive review:

As always, the single best thing you can do after this is to **complete a few practice exams without looking at the solutions or using extra aids**. After you've
finished a practice exam, don't look at the solutions yet! Instead, go
back to any problems you weren't able to do, and try them again, using
any source you like except the solutions (so, for example, look for
related problems from the worksheets and homework).

- Practice Exam 1 - answers
**This practice exam only covers the material through Problem Set 23, so it's a good one to do if you're starting your studying early.**

solutions to each problem - 1, 2, 3, 4, 5, 6, 7, 8 - Practice Exam 2 - answers

solutions to each problem - 1, 2, 3, 4, 5, 6, 7, 8*Solutions to #5 and #7 updated 4/16 to fix typos. Thanks Max and Toba!* - Practice Exam 3 - answers

solutions to each problem - 1, 2, 3, 4, 5, 6, 7, 8 - Practice Exam 4 - answers

solutions to each problem - 1, 2, 3, 4, 5, 6, 7 - Practice Exam 5 - answers

solutions to each problem - 1, 2, 3, 4, 5, 6, 7, 8 - Fall 2009 exam (omit #3e; we've covered this material but haven't emphasized it) - solutions
**This exam only covers the material on Problem Sets 15 - 24, so it's another good one to do if you're starting your studying early.** - If you find there's a particular topic you're shaky with, try some recommended practice problems on that topic. These include lots of true-false questions!

Exam 1 will be **Wednesday 3/6, 5:30 - 7:30 pm**. You can find your seat assignment here. If you have a valid conflict (see the top of this
page), please fill out this exam
conflict form by Wednesday 2/27 to arrange an earlier exam time.
Please note that most section meetings and lab
sections can be rearranged to accomodate an exam, and we expect you
to contact your section organizers right away to arrange to attend a
different section if your section conflicts with the 21b exam.

We will have a **review session** Friday 3/1, 4:30 - 5:45 pm in Science Center D. We have asked for the review session to be taped.

- Here are the review session problems and answers to the problems we didn't talk about. Solutions will not be posted, but you are welcome to discuss them with a TF in office hours.
- Video of the review session will be posted here as soon as it is available.

The exam will cover the material on Problem Sets 0 - 11. Remember that Math 21b emphasizes deep and flexible understanding of the material. As such, you should expect the exam to include problems you haven't previously encountered, so that you can demonstrate your ability to apply the fundamental concepts to new problems.

Books, calculators, and notes will not be permitted on the exam.

As this
article highlights, two of the best study strategies are
**testing yourself** (with flashcards, practice problems,
and so on) and **spacing your studying over
a period of time**. So, we recommend that you:

- Start reviewing early, around 10 days before the exam.
- Take at least 3 practice exams on 3 separate days. Budget 3 - 4 hours for each practice exam, since you'll want to take it, check your work, and analyze your errors.