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## Online Homework

Online homework will be done through WebWork, a service hosted by the Mathematical Association of America (MAA) and generously funded by W.H. Freeman and Company (the publisher of our textbook). This service is provided free to the students, so there is nothing additional you have to pay for.

All homework must be completed by the due date. Answers will be made available after the due date, so no late submissions will be accepted.

## Written Homework

These assignments will not be turned in and will be not graded; however, if you seek help from the instructor or TAs, they will do these problems, not the online homework problems.

Even-numbered problems are typically similar to the preceding odd-numbered problem, so you are encouraged to work the preceding odd-numbered problem first and check your answer to make sure you are on the right track.

## Textbook Exercises

Week 1
• Section 12.1:   6, 25, 38, 39, 42, 56, 58
• Section 12.2:   14, 24, 34, 36, 42, 43, 50
• Section 12.3:   15, 24, 29, 48, 52, 53, 60, 61
• Section 12.4:   4, 6, 9, 14, 20, 24, 34, 41, 42
• Section 12.5:   3, 17, 22, 24, 26, 54

Week 2
• Section 13.1:   6, 16, 21, 22, 34, 36
• Section 13.2:   6, 10, 12, 13, 22, 27, 28, 31, 40, 45, 56
• Section 13.3:   2, 3, 4, 8, 10, 23
Skip "Arc Length Parametrization" (pg 742-743)
• Section 13.5:   3, 4, 5, 12, 14, 15, 18, 25, 26
Skip "Understanding the Acceleration Vector" (pg 759-762)
Supplemental
• Section 11.1:   12, 26, 27, 28, 37, 38
• Section 11.2:   1, 6, 7, 18, 19
Skip "Surface Area" (pg 623)

 Reading:  Read 13.1, 13.2, 13.3, and 13.5.   (We will not cover 13.4.)   In 13.3, you can skip "Arc Length Parametrization" (on pages 742-743) and in 13.5, you can skip "Understanding the Acceleration Vector" (on pages 759-762.)   You should also read 11.1 and 11.2.   These sections cover the same topics as 13.1 and 13.3 (respectively), but with only two variables.   In 11.2, you can skip the topic of "Surface Area" (on page 623).

Week 3
• Section 14.1:   8, 16, 18, 19, 20, 24, 28, 32
• Section 14.2:   4, 8, 14, 18, 24, 26, 28
• Section 14.3:   4, 8, 30, 40, 42, 43, 44, 49, 51, 57, 58, 59, 76, 77, 79
• Section 14.4:   3, 4, 5, 8, 10, 11, 13, 16, 18
• Section 14.5:   1, 2, 6, 21, 22, 24, 28, 29, 31, 33, 35, 36, 37, 42, 43, 50

Week 4
• Section 14.6:   2, 4, 10, 12, 13, 16, 27, 28
• Section 14.7:   2, 5, 8, 14, 15, 19, 24, 38, 40
Note: For 5(b), f has FOUR critical points, not three (as is stated)
• Section 14.8:   2, 4, 5, 8, 12, 15, 24
Skip "Example 4: Lagrange Multipliers with Multiple Constraints" (pg 851)

 Reading:  Read Chapter 14, Sections 6-8. In 14.8, you can skip "Lagrange Multipliers with Multiple Constraints" (on page 851)

Week 5
• Section 15.1:   2, 10, 20, 23, 24, 26, 27, 30, 34, 38, 42, 43
• Section 15.2:   1, 4, 8, 10, 12, 18, 24, 30, 31, 38
Note: For 12, the inequality describing the region is |x|+(1/2)|y| < 2.
• Section 15.3:   3, 11, 13, 15, 17, 19, 21
• Section 15.4:   1, 3, 7, 9, 17, 21, 23, 27, 29, 31
Skip "Triple Integrals in Spherical Coordinates" (pg 899-904)

 Reading:  Read Chapter 15, Sections 1-4. In 15.4, you can skip "Triple Integrals in Spherical Coordinates" (on page 899-904).