HOMEWORK
MTH 254H — Fall 2016

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:

• Write legibly.
• Show your work — do not use "proof by erasure".
• Explain at least briefly what you're trying to do, don't just do it;
• Feel free to use technology when appropriate, but this must be clearly documented.
  (You do not need to document every keystroke, but it wouldn't hurt to indicate explicitly what expression you evaluated, and what technology you used. No technology is permitted on quizzes and exams.)

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: §5.8–§5.9 in the text, namely curvature & change of variables.

Assignment: No homework this week (but note last week's assignment due on 11/30).

Week 9

Suggested reading: §5.5–§5.7 in the text, namely curves, motion in space, & arclength.

Assignment (due Wed 11/30/16): Complete the assignment sheet.

Week 8

Suggested reading: §3.4, §3.9, & §5.3–§5.4 in the text, namely cross product, lines and planes, Lagrange multipliers, & Lagrange multipliers revisited.

You may also want to read the unnumbered section Lagrange multipliers using differentials.

Assignment (due 11/21/16): Complete the assignment sheet.

Week 7

Suggested reading: §5.1 in the text, namely optimization.

You may also wish to skim §5.2, which provides more information on the second derivative test.

Assignment (due 11/14/16): Complete the assignment sheet.

Week 6

Suggested reading:

§4.1–4.4 in the text, namely gradient, geometry of gradient, properties of gradient, and directional derivatives.

Assignment (due 11/7/16): Complete the assignment sheet.

Week 5

Suggested reading: §3.1–§3.3 in the text, namely vectors, dot product, and law of cosines.

Assignment (due 10/31/16): No homework this week.

You are strongly encouraged to rework any midterm questions you did not do well on, and to discuss your solutions with me if you have any remaining questions.

Week 4

Suggested reading: §2.5–§2.6 in the text, namely chain rule & 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 10/24/16): No homework this week.

You are strongly encouraged to bring questions to Monday's review, including problems that you have had difficulty with.

Week 3

Suggested reading: §1.17, §1.19, and §2.1–§2.5 in the text, namely center of mass, integration review. differentiation review, thick derivatives, differentials, & multivariable differentials.

Assignment (due 10/17/16): Complete the assignment sheet.

Week 2

Suggested reading: §1.8–§1.10 and §1.16 in the text, namely polar coordinates, curvilinear coordinates. polar integrals, & curvilinear integrals.

You are encouraged to skim the rest of Chapter 1.

Assignment (due 10/10/16): Complete the assignment sheet.

Week 1

Suggested reading: §1.4–§1.7 in the text, namely double integrals. triple integrals, order of integration, & non-constant limits,

Assignment (due 10/3/16): Complete the assignment sheet.

Week 0

Suggested reading: §1.1–§1.3 in the text, namely single integrals, surfaces, & level sets,

Assignment (due 9/26/16): Complete the assignment sheet.

Assignment (due 9/23/16): 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.