Math 31b Winter 2013
Exam materials

No notes, books or calculatros are allowed on the exam. Scratch paper will be provided; do not bring your own.
Midterm 1 will cover the material up to (and including) Section 8.1, that is, the kind of problems from Homework 1, 2 and 2.5.
There will be 5 problems on the test, each worth 10 points.

Here is an old exam from Spring 2012, in a similar format, and with solutions.
As practice, you can also work through Problems 1-4 (not 5) from this exam from Spring 2011; here are the solutions.
I recommend also doing a bunch of odd-numbered problems from the textbook.

Solutions to Midterm 1.

Midterm 2 will cover the material from Sections 8.2, 8.3, 8.5, 8.8, 9.1, 9.2, 9.4 and 11.1, that is, the kind of problems from Homework 3, 4 and 5.
There will be 5 problems on the test, each worth 10 points.

Here is a slightly modified version of an old exam from Spring 2011, in a similar format, and with solutions.
As practice, you can also work through Problems 1a, 3, 4, and 5 (not 1b or 2) from this exam from Spring 2012; here are the solutions.

The exam may contain one proof "from the definition" that a sequence converges, in the spirit of Example 2 in Section 11.1 in the textbook. See also problems 32 (b) or 33 from that section. (Problem 33 was done in class.)

For trigonometric integrals, you do not need to memorize any formulas from the table on p. 423 of the textbook. You also don't have to memorize the reduction formulas for sine and cosine, but you should know how to deduce them. You should also know some basic trig formulas, such as the ones on p.420, and also sin^2 x + cos^2 x = 1, sec^2 x = tan^2 x + 1.

Solutions to Midterm 2.

The final exam will be cumulative, but with more emphasis for the material after Midterm 2. Roughly, 20% of the questions will be on the material for Midterm 1, 20% on the material for Midterm 2, and 60% on the material after Midterm 2.

We will check ID's on the final. Please bring a photo ID with you. (Either a government-issued ID or the university-issued Bruin Card is fine.)

There will be 10 problems on the test, each worth 10 points. The first two problems will consist of several multiple-choice questions.

Here are some old practice tests. The format of the actual exam will be similar to that of Practice Test 2. On the last day of class we will have a review session, and we will go over the problems on this Practice Test 4.

Don't forget to work out the suggested problems in Homework 7.5.


There were two slightly different versions of the final exam. Here are solutions to Version 1 and Version 2.