Study Guide - Chapter 15

Math 221

In-Class Exam (60 points)

All questions on the exam are directly from the chapter 15 review.

  1. Determine whether a function F is conservative, and if it is, find the potential function f. 2 parts. Look at problems 5 - 12.
  2. Find the divergence and the curl of a vector field F. Look at problems 13 - 20.
  3. Evaluate the line integral over the specified paths. 2 parts. Look at problems 21 - 26.
  4. Evaluate the integral of F dot dr over the specified curve. Look at problems 29 - 34.
  5. Use the Fundamental Theorem of Line Integrals to evaluate an integral. Look at problems 37 - 38.
  6. Use Green's Theorem to evaluate the line integral. Look at problems 39 - 44.
  7. Verify the Divergence Theorem by evaluating the double integral of F dot N as a surface integral and a triple integral. Look at problems 49 - 50.

Take home exam (40 points)

  1. 15.1.71 - also find the potential function.
  2. 15.2.60
  3. 15.3.34
  4. 15.4.42
  5. 15.5.46
  6. 15.6.36
  7. 15.7.18
  8. 15.8.24