241 Syllabus

Text:

 Multivariable Calculus - Concepts and Contexts James Stewart Brooks/Cole Publishing Company, Pacific Grove, CA 1998

Lecture Section Subject Suggested Homework Problems
1. 9.1 Coordinate Systems

p. 650; 1-3, 7-8, 11-12, 14, 17-26, 28-30

2. 9.2 Vectors

p. 658: 1-3, 5-6, 10-12, 14, 17-18, 21-23

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

6. 9.6 Surfaces p. 691: 2, 4, 6-7, 9-13, 15-17, 20-22, 24, 31-32
7.

9.7

Cylindrical Coordinates p. 696: 1, 3-6, 11, 14-15, 17, 19, 21a-24a, 25-26
8.

9.7

Spherical Coordinates p. 696: 2, 7-10, 12-13, 16, 18, 20, 21b-24b, 27-29
9. Review and/or catchup
10. 1st HOUR EXAM
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

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

22. Review and/or catchup
23. 2nd HOUR EXAM
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
31. 3rd Hour Exam

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

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

38. 12.5 Applications p. 878: 1-2, 4-5, 9, 11, 17, 20-21
39.

10.5b,
11.4b

Parametric Surfaces

p. 738: 1-3, 9-11, 13, 15-16, 21-22
p. 789: 33-35

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

42. 12.8 Cylindrical Coordinates

p. 899: 1-2, 7, 9-11, 14a, 29

43. 12.8 Spherical Coordinates

p. 899: 3-6, 15-17, 19, 25-26, 30

44. Review (or 12.9 if you wish)
45. 4th Hour Exam

46.

13.1

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

49. 13.3 Fundamental Theorem

p. 944: 1-3, 5-6, 8, 12, 14-15, 19-21, 23, 27

50. 13.4 Green's Theorem

p. 952: 1, 5-6, 8-10, 13-15, 20

51. 13.4 (continued)

p. 952: 7, 11-12, 17-18, 19a, 25

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

54. 13.6 Oriented Surface Integral

p. 972: 17-18, 20-22, 29-30, 35-38

55. 13.7 Stokes' Theorem

p. 977: 1-3, 5, 7-9, 17, 19

56. 13.8 The Divergence Theorem p. 984: 5-7, 9, 11, 15, 19-21
57. Review

In Fall 2000, there are 58 meetings of the MTWF sections and 57 meetings of the MWRF sections.