MAT 2030 Winter 2012 (Calculus 3): Section 004, CRN 21235
Professor Drucker

ASSIGNED EXERCISES

ADVICE: Do the exercises as we get to them. It is essential that you stay ahead in the reading and keep up with the assigned exercises. Don’t allow yourself to fall behind!

ABBREVIATIONS:

AP: Applied Project (after 13.4, 14.7, 14.8 (two), and 15.8)

DP: Discovery Project (after 12.4, 14.7, 15.6, and 15.7)

LP: Laboratory Project (after 12.5)

PP: Problems Plus (after each chapter Review)

RE: REVIEW EXERCISES (part of each chapter's Review)

TF: TRUE-FALSE QUIZ (part of each chapter's Review)

NOTES ON HOMEWORK:

• The answers to odd-numbered exercises (except those in projects) appear in the back of the text. For this reason, I have assigned mostly odd-numbered exercises. The solutions to all odd-numbered exercises (except those in projects) appear in the Student Solutions Manual for Multivariable Calculus, which you are not required to purchase. If you do buy the manual, I strongly suggest that you use it only as a last resort to get you started when you’re stumped, and as a check on exercises you've already solved. Don’t overuse it by referring to it frequently while you’re solving problems.
• Ordinary assigned exercises are the main means by which you will learn the course material. They will not be collected or graded, but you can (and should) ask about them in class and/or office hours. Do ALL of them. If a topic gives you trouble, ask about it in class and/or office hours and do MORE exercises on that topic.
• The optional exercises will further enhance your problem-solving skills and/or deepen your understanding of the material. You can ask about them in class, but I will not collect or grade them.
• The PP problems are usually (but not always) more challenging than regular exercises. They deal with applications and with theoretical topics. The even-numbered PP problems listed below are optional and will earn you extra credit if you turn them in for grading. They are due a week after the class in which we start the next chapter. You are expected to solve these and write them up by yourself, but if you get stuck part of the way through one of these, you can come to me for help getting unstuck.

Chapter 12: Vectors and the Geometry of Space

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12.1 #3, 5, 7, 9, 13, 15, 23, 27, 33, 35

12.2 #1, 4, 7, 13, 19, 23, 25, 27, 29, 37

12.3 #1, 3, 7, 11, 19, 23, 27, 36, 41, 42, 47, 51. Optional: #44, 49.

12.4 #3, 7, 9, 13, 15, 17, 19, 29, 33, 37, 39, 45. Optional: #49.

12.5 #1, 3, 5, 7, 11, 13, 19, 20, 25, 29, 33, 35, 43, 49, 55, 62

12.TF #1–3, 7, 9, 11, 12, 14–17

12.RE #3, 11, 17, 21, 23

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Chapter 13: Vector Functions

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13.1 #1–7 odd, 8, 11, 17–25 odd, 37, 41

13.2 #3–13 odd, 19–25 odd, 31, 35, 39

13.3 #1, 3, 13, 17–27 odd, 31, 33, 37, 41

13.4 #3, 5, 9, 11, 15, 19, 33, 35

        In #33 and 35, use the method of my NOTES ON CURVES.

13.TF #1, 2, 3, 5, 6

13.RE #1, 5, 9, 11, 12, 17

         In #11, also find the binormal and the torsion. Use the method of my NOTES ON CURVES
         throughout.

13.PP #4

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Chapter 14: Partial Derivatives

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OPTIONAL HW on cylinders and quadric surfaces: 12.6 #1, 3, 13, 15, 19, 21-28

14.1 #1, 9, 11, 13, 17, 19, 23, 25, 29–31, 33, 35, 39, 41, 55–61, 64. OPTIONAL: #63

14.3 #1, 5, 9, 10, 17, 21, 25–28, 41, 47, 57, 65, 87

14.4 #1, 5, 11, 15, 21, 25, 29, 33–39 odd

14.5 #1, 5, 9, 15, 17, 21, 25, 27, 33, 39

14.6 #1, 5, 7, 9, 15, 19, 21, 25, 29, 31, 39, 43, 47

14.7 #1, 3, 5, 7, 11, 13, 31, 33, 35, 41, 43, 47, 51

14.TF #1–4, 7, 9–11

14.RE #1, 3, 5, 15, 17, 19, 31, 35, 43–45, 47, 53, 55

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Chapter 15: Multiple Integrals

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15.1 #1, 5a, 7, 9, 11, 13

15.2 #3, 5, 9, 13, 15, 17, 21, 27, 29, 35

15.3 #3, 5, 9, 15, 19, 25, 27, 39, 43, 45, 47, 53, 55, 59

15.4 #1, 3, 7, 11, 15, 21, 25, 31, 35. OPTIONAL: #28, 36.

15.5 #1, 5, 7, 11, 15

15.6 #5, 11, 13, 21, 33, 39, 51

15.7 #1, 3, 5, 7, 9, 11, 13, 21, 25, 27

15.8 #1, 3, 5, 7, 9, 13, 15, 21, 25, 29, 35, 39

15.TF #1–7

15.RE #1, 3, 7–15 odd, 19, 21, 27, 31, 35ab, 37, 39, 45

15.PP #2, 8

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Chapter 16: Vector Calculus

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16.1 #3, 5, 9, 11–18, 21, 29–32, 35

16.2 #3, 7, 11, 15, 17, 19, 22 [Ans. pi], 27, 33, 35, 39

16.3 #1–7 odd, 11, 13, 15, 19, 23, 29, 31, 33. Read #27.

16.4 #1, 3, 7, 9, 11, 13, 17, 19, 21, 22, 23
         The result in #21b is very useful!

16.5 #1, 5, 7, 9, 10, 15, 17, 19, 21, 31, 37. Look at #38, 39.

16.6 #3, 5, 13–19, 23, 25, 33, 35, 37, 41, 47

16.7 #3, 7, 9, 13, 15, 17, 21, 25, 27, 37, 45

16.8 #1–9 odd, 13, 17

16.9 #3–11 odd, 19, 25, 27

16.TF #1-8

16.RE #1-35 odd, 39

16.PP #2

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