The first exam covers Chapters 12 and 13. It is recommended that you go over the homework problems as well as your class notes. Many of the problems and questions we discuss in class are excellent examples of test questions. I have also listed some sample problems from the Chapter 12 and 13 Reviews and Check Your Understanding Sections below. Note that these problems are a SAMPLE selection. Certain topics are covered in the reviews better than others. The odd answers are in the back of the book while the evens are listed here. The exam will be designed to take the full class period (45-50 minutes).

**Exam Review:** We will review for the exam on Monday, Feb. 21, during class.
Please come prepared with specific questions.

**Chapter 12 Review, pp. 600 - 601**

Problems: 2, 5, 7, 9, 14, 15, 17, 18, 19, 21, 24, 25, 30, 31, 32

The answers to the evens are:

2. x/5 + y/3 + z/2 = 1

14. (a) goes with (ii), (b) goes with (i)

18. Not True

24. (a) level curves are concentric circles, NOT equally spaced, (b) z = cos x, (c) z = cos r, where
r^2 = x^2 + y^2

32. f(0,t) gives the displacement of the left-end of the string over time while f(1,t)
gives the displacement of the point (bug) at x = 1 over time

**Chapter 12 Check Your Understanding, pp. 602 - 603**

Problems: 11, 13, 17, 31, 33, 35, 39, 51, 55

**Chapter 13 Review, pp. 635 - 636**

Problems: 3, 5, 7, 8, 9, 10, 11, 13, 15, 17, 18, 19, 20, 26, 27, 28

The answers to the evens are:

8. 0

10. 10/sqrt(14) (2i + 3j - k)

18. sqrt(6)/2

20. 0.4 v i + 0.7 v j

26. (a) 53.1 degrees east of south, (b) Not gonna make it!

28. 2/sqrt(21)

**Chapter 13 Check Your Understanding, pp. 637 **

Problems: 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 26

The answers to the evens are:

4. False
26. True