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

- A medical excuse: please have your resident dean contact the course head.
- A university-sponsored event such as an athletic tournament, play,
or musical performance (but
not athletic practices and rehearsals) - A religious holiday
- Extreme hardship such as a family emergency: please have your resident dean contact the course head.

Exam dates are:

- Exam 1 - Tuesday 10/16, 5:30 - 7:30 pm
- Exam 2 - Thursday 11/8, 5:30 - 7:30 pm
- Final exam - scheduled by the registrar

Exam 1 will be **Tuesday 10/16, 5:30 - 7:30 pm**. So that
you as students can be confident that your exam is taking place in an
environment of academic honesty, we will be using assigned
seating for this exam. Please look out for an email from Stepan
Paul on Monday 10/15 letting you know your assigned seat.

If
you have a valid conflict (see the top of this page), please fill
out this exam
conflict form by Tuesday 10/9 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 21a exam.

The exam will cover the material on Problem Sets 0 - 12. Remember that Math 21a 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.

*Earning back points on the mini-exam:* Some problems /
parts of problems on Exam 1 will be very similar to problems on your mini-exam.
We'll calculate your percentage on these parts of Exam 1 and average this
with your mini-exam percentage. If this average is higher than your original
mini-exam percentage, we'll change your mini-exam percentage to this new
average.

Here's a sample study plan:

- (8 - 10 days before the exam) Start by doing a quick overview of the topics we've covered, just to identify any topics you've forgotten. For example, you might try answering these review questions. If you've been keeping a list of the key ideas and skills from each class, look back at that. If there are topics you definitely don't remember, go back to your notes, worksheets, and homework to refresh your understanding.

- (A week before) Try Practice Exam 1
**without using any aids**. (It's very tempting to peek at the solutions when you get stuck, but we have found repeatedly that this is not a useful study strategy. Recent research backs this up!)The first practice exam you take is mostly a diagnostic to help you figure out what topics you need to study more, so take as much time as you like with the problems.

- Once you're done (and before looking at any aids), do this practice exam reflection.
- If there are topics you now realize you're shaky with, go back to the worksheets and homework, look in the book for extra problems on those topics, or go to office hours.
- Try another practice exam, and do the reflection afterwards. Then repeat this with another practice exam. It's a good idea with at least one of these practice exams to put yourself in an "exam environment": find a quiet place and give yourself 2 hours, so that you practice working under time pressure.
- You may not have time to do every problem in every practice exam; that's okay! Prioritize working on the problems that you don't immediately know how to solve, as those are the ones you'll learn the most from trying.

- 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.)
- Practice Exam Reflection: To get the most out of a practice exam, you don't want to just do it; you also want to use it to figure out what to study next, as well as what errors you tend to make and how to avoid those errors in the future. This practice exam reflection is meant to help you do that; do it right after you've taken a practice exam (before looking at the solutions).
- Practice Exam 1 -
answers

Solutions by problem - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 - Practice Exam 2 -
answers

Solutions by problem - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 - Practice Exam 3 -
answers

Solutions by problem - 1, 2, 3, 4, 5, 6, 7, 8, 9 - Practice Exam 4 -
answers

Solutions by problem - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 - More practice problems by topic; the textbook is also a great source of problems (most odd-numbered problems have answers in the back of the book)

- We've asked for the review session to be taped. The video will be on Canvas as soon as it's available.
- We'll look at these problems. (Solutions will not be posted, but you are welcome to discuss them with any TF in office hours.)

We will have a mini-exam Tuesday 9/18, 5:30 - 6:20 pm.

- If you're in a 9:00, 10:30, or 12:00 section, you'll take the exam in Science Center B.
- If you're in a 1:30 or 3:00 section, you'll take the exam in Science Center D.

The exam will cover the material on Problem Sets 0 - 3. In particular, you should be comfortable with:

- Graphing equations in Cartesian, polar, cylindrical, and spherical coordinates
- Dimension
- The distinction between the graph of a function and level sets of that function

After you've reviewed, we recommend that you take the two
practice mini-exams below **without looking at the solutions or
using extra aids**. (Why? Testing yourself is one of the most effective methods of learning, but research
shows that looking at the solutions while doing problems creates a "false sense of mastery".)

- Practice Exam Reflection: To get the most out of a practice exam, you don't want to just do it; you also want to use it to figure out what to study next, as well as what errors you tend to make and how to avoid those errors in the future. This practice exam reflection is meant to help you do that; do it right after you've taken a practice exam (before looking at the solutions).
- Practice 1 - solutions
- Practice 2 - solutions