Math 2101 (Calculus 3 - Multivariate)
Practise Problems and Written Assignments to be turned in
Fall Semester 2010
| Chapt. | Section | Pages | Practise Problems | * Problems to be written up and turned in | &dagger Due date | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| 13 | 13.1 | 805 | #2,5,8,10,11,13,15,18,29,32,34. | #8,11,18,29,34 | Fri, Aug 27 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 13 | 13.2 | 813 | #4,5,6,7,8,9,11,17,19,23,24,38. | #6,11,19,23,24,38 | Mon, Aug 30 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 13 | 13.3 | 820 | #4,6,9,11,14,20,24,30,31,37,40,44,45,59. | #6,11,20,24,31,40,44 | Wed, Sept 1 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 13 | 13.4 | 828 | #2,5,6,13,14,16,18,19,22,28,30,33,37,46. | #6,16,22,33,37,46 | Wed, Sept 8 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 13 | 13.5 | 838 | #3,4,5,6,7,10,11,12,14,16,21, 25,30,43,51,55,58,69. | #3,7,14,16,30,43,55,69 | Fri, Sept 10 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 13 | 13.6 | 846 | # 11-20,29-36,37-40,42. ( Use mathematica on 37 - 40 ). | #14,20,36,37,39,42. ( use mathematica on 37 & 39 ) | Fri, Sept 17 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 14 | 14.1 | 858 | #5,6,8,11,13,16,17,29,30,31,32,34. ( use mathematica for 29-34 ) | #6,9,16,30,32,34 ( use mathematica for 30,32,34 ) | Mon, Sept 20 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 14 | 14.2 | 864 | # 4-8,11-16,17-20,23,25,33-38,40. | #6,12,16,19,23,36,40. | Wed, Sept 22 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 14 | 14.3 & 14.4 | 872 & 882 | 14.3: #1,2,3,4,13,17,22,24. 14.4: #6,11,14,15. | 14.3: # 3,13,17,22. 14.4: #14,15. | Wed, Sept 29 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 15 | 15.1 | 902 | #7,9,10,11-20,26-29,45,46,49,63. (Use mathematica for the graphics). | #10, 15,19,28,46,49,63, 51-54 (use mathematica for 51-54). | Fri, Oct 1 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 15 | 15.2 | 912 | #5-22, 25,29, 32,33,37,39. | #16,20,25,33,37,39 | Wed, Oct 6 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 15 | 15.3 | 925 | #12,17,21,23,25,27,28,31,33,34,35,37,39, 40,43,47,50,51,53,55,57,61, 65,67,71,75,77,95. | #12,28,34,40,47, 50 ((a) & (c)), 55,57,67,75,77,95; ( Use mathematica for 95 (a) and (e) )
Fri, Oct 8 |
15
| 15.4
| 935
| #1,2,3,4,5,6,11,12,13,14,15,16,21,30,31,34,35.
| #4,14,21,30,31,34,35.
|
Mon, Oct 11 |
15
| 15.5
| 943
| #1-13,17,18,19,20,24,28,36,38,45,51.
| #4,10,13,18,24,38,45,51.
|
Wed, Oct 13 |
15
| 15.6
| 956
| #4,5,6,7,8,9,10,12,13,14,15,19,21, | 26,31,37,42,43. #5,9,15,26,31,37(b),
#43, 44.
|
Wed, Oct 20 |
15
| 15.7
| 966
| #1,4,7,8,9,13,14,15,31,34,36,47. | ( Use Mathematica to graphically support your solutions to 7-18.) #4,9,13,15,34,36,47.
|
Wed, Oct 27 |
15
| 15.8
| 976
| #1,3,4,5,7,8,11,15,18,24,35.
| #7,11,15,18,24,35.
|
Mon, Nov 1 |
16
| 16.1
| 994
| #3,4,5,6,7,8,9,12,13,15,16.
| #4,6,9(a),12,13.
|
Wed, Nov 3 |
16
| 16.2
| 1000
| #1,2,3,5,7,8,9,11,16,17,19, | 22,23,26,29,30,36. #2,8,19,22,23,26,30,36.
|
Fri, Nov 5 |
16
| 16.3
| 1008
| #3,4,5,6,7,8,9,10,11,17,19,26,27, | 40,42,43,48,49,53,54,55. #11,17,19,27,42,48,52,53,55.
|
Wed, Nov 10 |
16
| 16.4
| 1014
| #1-8, 11,14,16,17,18,19,27,29,31,32.
| #6,8,14,17,18,27,32.
|
Fri, Nov 12 |
16
| 16.6
| 1034
| #3,4,5,6,7,8,10,17,20,21,22, | 27,28,29,30,31,33. #6,10,17,20,21,27,29,33.
|
Wed, Nov 17 |
16
| 16.7
| 1040
| #3,4,7,8,9,10,15,16,17,18,19,20,23(a),27.
| #4(a),8,10(b), 15,23(a), 27.
|
Fri, Nov 19 |
16
| 16.8
| 1046
| #4,8,9,10,11,12,13,20,22,23,25,29(a),39.
| #4(b),8,10(a),12,20,23,29(a),39.
|
Mon, Nov 22 |
17
| 17.1 & 17.2
| 1068 & 1179
| 17.1: #3,4,5,6,7,8,19,21-24,25,
and | 17.2: #1,5,6,9,15,16,19,21,22. ( use mathematica on 19 in 17.1). 17.1: #5,19,
24, and | 17.2: #9,15,19,21. ( use mathematica on 19 in 17.1).
Wed, Dec 1 |
17
| 17.3
| 1089
| #3,4,5,8,9,13,14,16,18,19,20,21,29-32.
| #3,8,13,18,19,21.
|
Fri, Dec 3 |
17
| 17.4
| 1096
| #3,4,5,7,8,12,13,18.
| #3,5,8,13.
|
|
Mon, Dec 6 17
| 17.5
| 1104
| #5,6,7,8,12,13,14,15,16, | 17,18,19,24,25,26. #6,17,18,19,24.
|
|
Wed, Dec 8 17
| 17.6
| 1114
| #3,10,11,12,21,22,23,24,25,33,34. | ( Use mathematica for the graphics ) #3,11,23,25,33.
* (do not need to turn in)
| |
* 17
| 17.7
| 1127
| #11,13,14,15,19,20, 23,25,26,29.
| #13,15,19,23,25.
|
| 17
| 17.8 & 17.9
| 1133 & 1139
| 17.8: #1,3,5,7,9,13.
| 17.9: #1,3,7,11,12,27. 17.8: #3,5,13.
| 17.9: #3,11,27.
| 16
| 16.9
| 1056
| #1,3,4,5,6,8,13,14,15.
| #3,4,14,15.
| ( if time permits...)
| |
- * When a problem calls for graphical or numerical approaches, you are to use Mathematica and you must include the printouts of mathematica when you turn in your assignments. By using mathematica, you get to strengthen or practise using a software that you are already familiar with from Calculus 1 and 2.
- &dagger Due dates will be announced in class as we go.
- All work must be shown on every problem that you turned in; you need to show the mathematical steps from the beginning to the end. If you would like to earn partial credits from the TA, you need to explain how you arrive at the answer - explain verbally, if you have to.
- When a problem asks you to VERIFY a few properties, then all you have to do is to show that the properties are true for that particular or specific example.
- When a problem asks you to PROVE or SHOW some statement is true for say, some type of vectors or functions, then you need to argue that the statement is true for ALL vectors or functions of that type, and NOT just show the statement is true for ONE example of a vector or a function of that type.