Math 31B, Lecture 6
Midterm 1 Information
Time and Place
The first midterm is Friday, February 2, from 12 noon to
It will not be held in our normal classroom, but rather in
I will have extra office hours Wednesday at 5pm (until 6pm or as late as 7pm
if there's interest), and also Thursday 9-11am.
Jane will hold a review session Thursday evening, time and place to be
There will be 6 questions, and the exam will be worth 100
points. Different questions will be worth different points, and there
could be multiple parts per question. The problems will vary in
difficulty, but the difficulty does not necessarily correspond to the point
value. The exam covers everything we've done so far up to section
8.7. You are not required to know Simpson's Rule.
- Remember first of all that the point of this class is for you to learn
the material. The exam is a way for me to get an idea of how much
you've learned, but more importantly it's a chance for you to review what
we've covered so far and learn it more thoroughly. Concentrate on
things that were confusing the first time around and work on them until they
are clear. Of course don't hesitate to ask Jane and myself if you have
questions. It's not possible for me to test you on everything we've
covered, but my hope is that merely by reviewing the material you'll have
learned it better whether you are tested on it or not. Ideally you'll
be over-prepared for the exam!
- Test questions will be similar to homework problems. The best way
to review the material is to review your homework problems, and to work
similar problems (as I've mentioned doing many of the integrals in Section
8.5 is a great way to review). Make sure you understand
the concepts as well, so that you can solve different problems than just
ones you've already seen.
- The test is fairly long, so you'll need to work quickly. If you
get stuck on a problem move on to another one. If a calculation seems
to be taking too long, think of doing it another way. It helps to have
worked a lot of problems beforehand so that you have a good idea of what
techniques will work and don't need to blindly try different methods during
the exam itself.
- On the test, show me what you know. If you can't completely solve
a problem at least show clearly what you tried, how much you understand, and
how far you could get. Don't write nonsense. That is just a
clear indication that you don't understand what you're doing. It's
better to know what you don't understand and be honest about it!
- There will be no proofs from the text on this midterm, but they might be required for the
second midterm and
final (I'll let you know well in advance if you need to learn a proof for a
test). For this exam you may be required to do simple proofs like in the homework
exercises (essentially calculations justifying some formula).
- You must remember the trig identities, fundamental integration formulas,
and so forth. I would concentrate on just the most important ones and
know how to derive as much from them as possible. If you forget a
formula I'll allow you to "buy" it during the exam for a certain number of
points (I'll tell you how many and you can decide whether it's worth it or
not!). You need to tell me clearly what formula you need (for example
"sin 2x"); you can't just ask for "the formula I need to solve this
- Solutions to homework 3 will be posted Wednesday evening, but you won't
get the graded homework back until next week. If you want to study
from your own solutions, I recommend photocopying the ones from section 8.4
and 8.7 before you hand them in.