Exam I will be held in the usual room at the usual time: 10:30-11:20 on Wednesday Feb. 12. It will start promptly at 10:30, so make sure you're on time. The test will cover sections 12.1 - 12.6 and 13.1 - 13.2.

The test will have four problems, possibly with several parts each. Calculators or other mechanical assistance are not needed and are not to be used.

The following topics are likely to be covered, though the exam is not limited to these topics:

• 3-dimensional surfaces and their equations: spheres, cylinders, planes, and quadric surfaces; be able to determine a surface from its equation, as in the table on page 854.
• equations of lines: symmetric equations, and vector-valued parametrizations
• vectors and their operations, geometrically and algebraically
• length of a vector; unit vectors
• dot product, cross product, algebraic properties, geometric meaning and relations to angles, area, and volume
• solving geometric problems involving lines and planes, using vectors and their properties
• visualizing parametrized curves in 3 dimensions
• derivatives of vector-valued functions, velocity vectors of curves

You don't need to know about "work" or "torque" from sections 12.3 and 12.4. The test also does not cover "direction angles" or "direction cosines" from section 12.3, or "integrals" from section 13.2.

Advice: I recommend first reviewing homework problems from each section, perhaps doing a few odd-numbered ones and checking your answers. If you get one wrong, don't skip ahead, but tackle it right away and find out how it works. There may be a similar example worked out in the section, or among one of our graded problems, or you can try getting help. I also recommend the "Concept Check" questions at the end of each chapter as a way of finding out where to focus your efforts. There are extra problems there too that I recommend trying out.

When it comes time for the test itself, relax and do the best you can. Because you have studied, you know which topics you know best, and can get those problems out of the way quickly. Then you'll have plenty of time to spend on the remaining ones.