HOMEWORK
MTH 254 — Fall 2010

Suggested Reading
It is to your advantage to skim suggested readings as soon as possible, and to read them again more carefully after the material is covered in class. However, do not expect to master this material the first time around. Don't worry; we'll cover it in class, after which the readings should make more sense. But be warned: we will not always cover the material the same way it is presented in the texts.
Section numbers refer to Briggs/Cochran; underlined links refer to my online book.
Written Work
It is your job to explain your work to me clearly and completely. Even though homework is not a major part of the grade, it is a good idea to practice presenting mathematical work — a skill which will likely affect your score on exams.
Here are some guidelines:
You may discuss homework problems with anyone you like, and you may use any reference materials you like. However, you must write up the solutions in your own words, and you must indicate what help you used.
Late homework will be corrected as a courtesy to you, but is not guaranteed to receive credit.
Due 12/2/10
Suggested reading: §12.9 & 13.7
and/or Lagrange multipliers & change of variables
Assigned problems:
No homework this week.
Recommended problems (not to turn in):
§12.9: 5, 7, 9
§13.7: 7, 15, 17, 19, 23, 27, 33
Due 11/25/10
Suggested reading: §12.7–12.8
and/or Optimization
Assigned problems:
No homework this week.
Recommended problems (not to turn in):
§12.7: 9–19 odd, 35, 37
§12.8: 9–19 odd, 29, 33, 37, 39, 47, 51
Due 11/18/10
Suggested reading: §12.5–12.6
and/or chain rule & gradient
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in):
§12.5: 7–21 odd, 27, 29, 33
§12.6: 9–23 odd
Due 11/11/10
Suggested reading: §12.4
and/or partial derivatives
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in):
§12.4: 13–21 odd, 25, 27, 31, 35, 37
("Find the first partial derivatives" means "Find the partial derivatives with respect to each (independent) variable".)
Due 11/4/10
Suggested reading: §11.9
and/or curvature
Assigned problems:
No homework this week.
Recommended problems (not to turn in):
§11.9: 11, 13, 15, 17, 23, 25, 31, 33, 39
Due 10/28/10
Suggested reading: §11.4–11.8 & §12.1 (through page 778)
and/or curves, motion, arclength, & cross product
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in): (Perhaps do every other problem on this list?)
§11.5: 11, 13, 17–27 odd, 43
§11.6: 9, 15, 17, 23, 25, 27, 33, 37
§11.7: 7, 9, 11, 13, 21, 23
§11.8: 7, 11, 15, 19, 21
§11.4: 13–21 odd, 25, 27, 31
§12.1: 11, 13, 15, 17, 29
Due 10/21/10
Suggested reading: §11.1–11.3
and/or vectors & dot product
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in):
§11.3: 9, 13, 21, 27, 29, 33
(plus some from §11.1 & §11.2)
Due 10/14/10
Suggested reading: §10.2, §13.3, §13.5–13.6
and/or curvilinear coordinates and integrals & center of mass
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in): (Perhaps do every other problem on this list?)
§13.3: 7, 9, 13, 17, 19, 21, 23, 27
§13.5: 11, 13, 17, 19, 21, 23, 29–51 odd (same as study guide)
§13.6: 9, 11, 15, 17, 23, 29, 33, 35, 37
Due 10/7/10
Suggested reading: §13.1–13.2, §13.4
and/or double integrals & triple integrals
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in): (Perhaps do every other problem on this list?)
§13.1: 5–23 odd, 27, 29, 30, 31a
§13.2: 7, 13, 19, 23, 25, 29, 35, 39, 43, 49, 51, 53, 57, 63 (same as study guide)
§13.4: 7, 11, 15–37 odd, 41 (same as study guide)
Due 9/30/10
Suggested reading:
Review §5 as needed. (Yes, Chapter 5, on integration. Available online. Or use any other book.)
§12.1–12.2 (Start on page 778 — we will cover vectors later.)
and/or single integrals, surfaces & level sets
Assigned problems:
Please complete the assignment sheet.
Recommended problems (not to turn in):
§12.1: 5–8, 19–25 odd, 63
§12.2: 27, 34