Exam I will be in the usual classroom on Monday, September 19, 2011. It will cover sections 13.1-13.6, but only the material that we discussed in class, and obviously not every single item can be covered in depth in a 50-minute exam. The current draft has 51 points possible, although that could change slightly. The general format of the exam will be similar to the quizzes.

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. Most 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.

At the start of the exam, you will receive a copy of the "Conic sections-Quadric surfaces" handout page to use as a reference.

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

1. Dot product, geometrically and algebraically, properties and applications.
2. Cross product, geometrically and algebraically, properties and applications.
3. Scalar and vector projections. Know what they are geometrically, and be able to calculate them.
4. Equations of straight lines, all forms.
5. Equations of planes, normal vectors.
6. Conic sections and their standard forms, completing the square to put their equations in standard form by translation of coordinates, graphing.
7. Quadric surfaces and their standard forms, completing the square to put their equations in standard form by translation of coordinates, graphing.

Although this is my first time to teach calculus in the 3-semester format, I have taught calculus many times. 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.