HOMEWORK
MTH 254H — Fall 2015

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.
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.

Please write on one side only of each page, and please do not staple pages together.
Please use full-sized (8.5″×11″) paper, not pages torn out of notebooks.

Assignments

Week 10
Suggested reading: §5.6–§5.8 in the text, namely motion in space, arclength, & curvature.
Also read §5.9, namely change of variables.
Assignment (due Wed 12/2/15): Complete the assignment sheet.
Week 9
Suggested reading: §5.3–§5.5 & §3.9 in the text, namely Lagrange multipliers, Lagrange multipliers revisited, as well as curves, & lines and planes.
You may also want to read the unnumbered section Lagrange multipliers using differentials.
Assignment: No homework this week.
Week 8
Suggested reading: §3.4 & §5.1 in the text, namely cross product & optimization.
You may also wish to skim §5.2, which provides more information on the second derivative test.
Assignment (due 11/20/15): Complete the assignment sheet.
Week 7
Suggested reading: §4.4 in the text, namely directional derivatives.
You may also wish to reread §4.1–§4.3.
Assignment (due 11/13/15): Complete the assignment sheet.
Week 6
Suggested reading: §3.1–§3.3 in the text, namely vectors, dot product, and law of cosines.
Also §4.1–4.3, namely gradient, geometry of gradient, and properties of gradient.
Assignment (due 11/6/15): Complete the assignment sheet.
Week 5
Suggested reading: §2.6 in the text, namely chain rule via tree diagrams.
You may also want to read §2.7–§2.9, which are closely related but cover slightly more advanced topics.
Assignment (due 10/30/15): No homework this week.
Week 4
Suggested reading: §2.1–§2.5 in the text, namely differentiation review, thick derivatives, differentials, multivariable differentials, & chain rule.
Assignment (due 10/23/15): Complete the assignment sheet.
Week 3
Suggested reading: §1.8–§1.10, §1.16–§1.17, and §1.19 in the text, namely polar coordinates, curvilinear coordinates, polar integrals, curvilinear integrals, center of mass, & integration review.
Assignment (due 10/16/15): Complete the assignment sheet.
Week 2
Suggested reading: §1.5–§1.9 in the text, namely triple integrals, order of integration, non-constant limits, polar coordinates, & curvilinear coordinates.
Assignment (due 10/9/15): Complete the assignment sheet.
Week 1
Suggested reading: §1.1–§1.4 in the text, namely single integrals, surfaces, level sets, & double integrals.
Assignment (due 9/30/15): Complete the assignment sheet.
Assignment (due 9/28/15): Please send an email message to me at tevian@math.oregonstate.edu. Please include some information about yourself, such as your math/physics background and your motivation for taking this class.
I will assume that email is a reliable way to reach you unless you tell me otherwise. If you don't check your email regularly, please let me know. It is to your advantage to provide me with a campus email address, as there are some things (such as grades) that I will not send elsewhere.