Exam II will cover sections 14.1-14.4, 15.1, and 15.3-15.6, but only the material that we discussed in class, and obviously not every single item can be covered in depth. About 1/3 of the exam is Chapter 14, the rest is Chapter 15.

To ensure that there is ample time for you to work all the problems, most of the exam will be in the usual classroom on Monday, October 17, 2011, but a smaller addditional portion will be during the first 15 minutes of the problem session on Tuesday.

Be sure you follow the instructions of each problem, and give the answers requested, without spending time on anything that is not needed. As on any exam, it is wise to start with the problems that you feel confident that you know how to do, before moving on to others. Some of the questions will have rather short solutions, if you know how to do them, so if you find yourself doing something lengthy and unusually complicated on a problem, it might be best to move on to other problems and come back later to it later if you have time.

Calculators are not needed, although you may, if you really want to, use a non-graphics simple arithmetic calculator without even trig functions or log and exponential, but no mechanical or electronic device more sophisticated that this (including iPods, earpieces, etc.). Blank paper will be provided, so all you will need is something to write with. Please write your solutions on the blank paper. You may have as many sheets as you need, and may put the problems in any order. Please put your name on your exam paper and all pages of your solutions, and hand them all in together, although without any pages of scratch work that is not to be graded.

Most of the exam problems will be very similar to homework problems, while others will draw upon the material presented in the lectures. Definitions of important concepts are perfectly reasonable questions, and although you do not need to know them word-for-word, you should be able to write down a coherent and accurate definition of any major concept or term.

The following topics are very likely to appear, although the exam is not limited to them:

1. Vector-valued functions, velocity, speed, and acceleration, unit tangent vector, curvature. There is no need to memorize a lot of formulas. Ideas and techniques are more important.
2. Calculation of partial derivatives and differentials.
3. Clairaut's Theorem, statement and use (but not the explanation of why it is true).
4. Graph of a function of two variables, the vectors v_x and v_y, and the tangent plane (no need to memorize the formula for the tangent plane).
5. The Chain Rule. You do not need to know the formal statement, but understand what the Chain Rule tells you and be able to use it.
6. Gradient. This is very important, know it as well as you can.

The exams from all my classes since 2000 are available at their course web pages, linked at the course pages page. Some of those classes met twice a week, so their exams were geared to a 75-minute time period.