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Text:
Multivariable Calculus - Concepts and Contexts
James Stewart
Brooks/Cole Publishing Company, Pacific Grove, CA 1998
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| Lecture |
Section |
Subject |
Suggested Homework Problems |
| 1. |
9.1 |
Coordinate Systems |
p. 650; 1-3, 7-8, 11-12, 14, 17-26, 28-30
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| 2. |
9.2 |
Vectors |
p. 658: 1-3, 5-6, 10-12, 14, 17-18, 21-23
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| 3. |
9.3 |
Dot Product |
p. 665: 1-4, 6-8, 11, 14-16, 18-21, 26-27, 30-31, 34 |
| 4. |
9.4 |
Cross Product |
p. 673: 1-3, 5-7, 10-12, 16-17, 20-21, 24-25, 27-28 |
| 5. |
9.5 |
Lines and Planes |
p. 682: 1-3, 6-7, 9, 12, 17-20, 25-26, 29-30, 34, 38, 45-46, 49-50
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| 6. |
9.6 |
Surfaces |
p. 691: 2, 4, 6-7, 9-13, 15-17, 20-22, 24, 31-32 |
| 7. |
9.7
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Cylindrical Coordinates |
p. 696: 1, 3-6, 11, 14-15, 17, 19, 21a-24a, 25-26 |
| 8. |
9.7
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Spherical Coordinates |
p. 696: 2, 7-10, 12-13, 16, 18, 20, 21b-24b, 27-29 |
| 9. |
Review and/or catchup |
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| 10. |
1st HOUR EXAM |
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| 11. |
10.1 |
Space Curves |
p. 708: 1-3, 5-8, 11-13, 15-16, 19-20 |
| 12. |
10.2 |
Calculus of Vector Functions |
p. 714: 1, 3-5, 6, 11, 15-16, 19-20, 29-32, 43, 45 |
| 13. |
10.3 |
Arc Length and Curvature (skip normal and binormal) |
p. 722: 1-2, 7-8, 11, 13-14, 17, 19, 21-23, 46 |
| 14. |
10.4 |
Velocity and Acceleration (skip components of acceleration) |
p. 731: 1, 3-4, 6-7, 9, 11-12, 14a, 16-18, 21-22 |
| 15. |
11.1 |
Functions of Several Variables |
p. 756: 1-2, 4, 6-10, 13-14, 21-23, 29-31, 33 |
| 16. |
11.2 |
Limits and Continuity |
p. 765: 1, 3-5, 7-9, 16, 26-28, 30-31, 33-35
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| 17. |
11.3 |
Partial Derivatives |
p. 775: 1-3, 6-7, 11-12, 15-18, 20-21, 23-24 |
| 18. |
11.3 |
(continued) |
p. 777: 26-28, 33-34, 37-38, 40, 42-45, 51, 54a-c, 57, 62 |
| 19. |
11.4a |
Tangent Planes (skip parametric surfaces) |
p. 787: 1-3, 9-10, 12-13, 16, 19-20, 23-24, 26, 28, 31 |
| 20. |
11.5 |
Chain Rule |
p. 796: 1-3, 5-6, 9-10, 12, 15-16, 20-21 |
| 21. |
11.5 |
(continued) |
p. 796: 27-28, 30, 33-35, 37-39, 42, 45
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| 22. |
Review and/or catchup |
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| 23. |
2nd HOUR EXAM |
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| 24. |
11.6 |
Directional Derivatives |
p. 808: 1-4, 5-6, 9-10, 12, 15-16 |
| 25. |
11.6 |
(continued) |
p. 809: 17-18, 20, 22, 25-26, 28-29, 33, 35-36, 38 |
| 26. |
11.7 |
Extremal Values |
p. 818: 1-2, 4, 6-9, 11, 13, 23-24 |
| 27. |
11.7 |
(continued) |
p. 819: 25-26, 28, 31, 34-35, 37, 42-43 |
| 28. |
11.8 |
Lagrange Multipliers |
p. 828: 3-5, 7-8 |
| 29. |
11.8 |
(continued) |
p. 828: 10-11, 13, 16, 18-19 |
| 30. |
Review and/or catchup |
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| 31. |
3rd Hour Exam |
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| 32. |
12.1 |
Multiple Integrals |
p. 848: 5-6, 9, 11-12, 15-16 |
| 33. |
12.2 |
Iterated Integrals |
p. 854: 1-4, 6-7, 9-12 |
| 34. |
12.2 |
(continued) |
p. 854: 15-16, 18-19, 22-23, 24a, 27
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| 35. |
12.3 |
Double Integrals |
p. 862: 1-3, 5, 7, 11, 13-15, 20 |
| 36. |
12.3 |
(continued) |
p. 862: 25-29, 31-33, 35-36, 39-40, 42 |
| 37. |
12.4 |
Polar Coordinates |
p. 868: 1-6, 8-9, 11-13, 16-17, 23-25
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| 38. |
12.5 |
Applications |
p. 878: 1-2, 4-5, 9, 11, 17, 20-21 |
| 39. |
10.5b,
11.4b
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Parametric Surfaces |
p. 738: 1-3, 9-11, 13, 15-16, 21-22
p. 789: 33-35
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| 40. |
12.6 |
Surface Area |
p. 883: 1-2, 5-6, 9, 16-17 |
| 41. |
12.7 |
Triple Integrals |
p. 892: 3-4, 6-7, 11, 13, 15-16, 21-22, 33
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| 42. |
12.8 |
Cylindrical Coordinates |
p. 899: 1-2, 7, 9-11, 14a, 29
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| 43. |
12.8 |
Spherical Coordinates |
p. 899: 3-6, 15-17, 19, 25-26, 30
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| 44. |
Review (or 12.9 if you wish) |
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| 45. |
4th Hour Exam |
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| 46. |
13.1
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Vector Fields |
p. 923: 1-3, 5-6, 11-13, 15-16, 21, 25 |
| 47. |
13.2
|
Line Integrals |
p. 934: 1-5, 7, 9-11, 13-14, 16-18 |
| 48. |
13.2 |
(continued) |
p. 935: 25-26, 30-32, 35, 37-38
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| 49. |
13.3 |
Fundamental Theorem |
p. 944: 1-3, 5-6, 8, 12, 14-15, 19-21, 23, 27
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| 50. |
13.4 |
Green's Theorem |
p. 952: 1, 5-6, 8-10, 13-15, 20
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| 51. |
13.4 |
(continued) |
p. 952: 7, 11-12, 17-18, 19a, 25
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| 52. |
13.5 |
Curl and Divergence |
p. 959: 1-4, 7-10, 12-14, 18 |
| 53. |
13.6 |
Surface Integrals |
p. 971: 2-3, 5, 7-8, 12-13, 15
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| 54. |
13.6 |
Oriented Surface Integral |
p. 972: 17-18, 20-22, 29-30, 35-38
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| 55. |
13.7 |
Stokes' Theorem |
p. 977: 1-3, 5, 7-9, 17, 19
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| 56. |
13.8 |
The Divergence Theorem |
p. 984: 5-7, 9, 11, 15, 19-21 |
| 57. |
Review |
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In Fall 2000, there are 58 meetings of the MTWF sections and 57 meetings
of the MWRF sections.
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