**Calc III**

**Study problems**

The exercises for each section are due the day after we finish covering that section in class. You must turn in at least every other exercise of those assigned in order to get credit, except that you may not omit any Maple (CAS) problems. However, you should do as many as necessary to gain mastery of each technique covered in the section. Do NOT avoid problems requiring Maple!

Remember that the homework you turn in must be written up beautifully!!!! Make sure the problems are in order and only write on only one side of the paper. Pencil is fine. Please remember to put your name on every sheet and staple it all together.

If you find exercises that you would like to discuss in class, please send me a note the day before class telling me which problem(s) you want to see, and I will try to make time to go over it in class.

eoo stands for "every other odd"

**Chapter 12**

12.1 # 1-41 odd

12.2 # 1-41 odd

12.3 # 1-43 every other odd, 13, 45,51, 55, 57, 61.

12.4 # 1-9 odd, 13,14, 15-35 odd.

12.5 # 3, 7, 11, 13, 15, 17, 21-37 every other odd, 43, 47, 49, 55.

12.6 # 1-20 every other odd, 21-28 all, 29-35 every other odd, 37-45 odd. (Review section 10.6)

12.7 # 3-61 eoo, 62, 63. (Review section 10.4)

**Chapter 13**

13.1 # 1-6 odd, 7-12 all, 13, 17, 19,23-33 odd. (Review section 10.1)

13.2 # 3-35 odd.

13.3 # 1-33 odd, 30, 37 (Review section

13.4 # 3, 5, 13-25 odd, 29, 31, 35.

The following website has a good Java applet for looking at torque. Open it by double clicking on it, then scroll down to 'cross product' and click on 'in vivo'. There's bunch of stuff just like what we've done in class, plus a nice interactive graphic under torque.

__http://www.math.montana.edu/~frankw/ccp/Java/Overview.htm__

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**Chapter 14**

14.1 # 5, 7, 11-29 eoo, 30, 37, 41, 47, 49, 65.

14.2 # 3, 5-17 eoo, 19-39 odd.

14.3 # 1,5, 11-35 eoo, 37, 39-49 eoo, 53, 74, 82.

In preparation for 14.4, read and understand section 3.11 (don't need to review stuff on quadratic approximations). Chapter 14.4 generalizes this material to 3 and higher dimensions. If you understand it in 2 dimensions, 14.4 will make a lot more sense!

14.4 # 3, 5, 13, 15, 17, 19, 23, 27, 31.

14.5 # 1-47 eoo.

14.6 1-33 eoo, 37, 39, 47, 49, 51, 57.

14.7 # 3, 5-21 eoo, 27, 29, 31, 37-49 eoo

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**Chapter 15**

15.1 #1, 7, 9.

15.2 # 1-29 every other odd, 33

15.3 # 1-27 every other odd, 31-47 every other odd

15.4 # Review polar coordinates in 10.4 then do 1-6 all, 7-33 every other odd.

15.5 Review moments and centers of mass in 8.3, then do 1-21 every other odd

15.6 # 1-11 odd, 17

15.7 # 1, 5, 9, 15, 19, 33, 37, 39.

15.8 # 1, 3, 7, 11, 18, 26a, 33, 35

15.9 # 1, 3, 5, 7, 9, 13, 15

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**Chapter 16**

16.1 # 1-9 every other odd, 11-18 all, 19, 21, 27

16.2 # 1-21 every other odd, 25-35 odd

16.3 # 3-17 every other odd, 19-25 odd, 29, 31

16.4 # 1-27 every other odd

16.5 # 1-29 every other odd, 12

16.6 # 1,3, 11-16 all, 17-24 odd, 29, 33-41 eoo

16.7 # 5-43 every other odd

16.8 # 1-9 odd, 19

16.9 # 3,7,9,13,15,17,23,27

Note—There may be an error in the answer to #31 in 16.2. The mass should be 4*k*Pi, and the center of mass is ( 8/Pi, 0).

**Review**

Chpt 12: 1, 4, 5,9,10, 15, 21, 29, 31, 33, 46, 47.

Chpt 13: 6, 8, 9, 10, 12, 13, 15, 17, 19.

Chpt 14: 6, 7, 15, 19, 25, 27, 29, 32, 33, 40, 43, 48, 49, 51, 53.

Chpt. 15: 7, 8, 11, 12, 15, 19, 23, 27, 31, 37, 41, 47, 49.