AcademicsAdvanced Calculus

Instructor: Matt Ollis, Sci 218, matt@marlboro.edu

Timetable: MWF 11.30 - 12.20, Sci 216

Course Outline: We begin by looking at sequences and series and then study multi-variable calculus, with topics including partial differentiation, multiple integrals and vector calculus. We will follow chapters 8 to 13 of Calculus by James Stewart (2nd edition), published by Brooks/Cole.

Prerequisites: Calculus I and II, or placement by instructor.

Grades: Here is the breakdown for how your grade will be calculated: 10% Class participation and attendance; 20% In-class quizzes; 30% Graded homework assignments; 40% Final exam.

Homeworks: Bold numbered problems in the attached homework assignment sheet are to be handed in for grading. Plain text numbered problems are more drill and practice material that should be worked through to keep up with course material. You are expected to complete the current assignment after the topic is introduced in class and before class discussion of the assignment itself. By 4pm each Friday you are expected to hand in your solutions to the appropriate bold numbered questions (exactly which questions these are will be announced during the previous week); but you may wish to discuss any assignments that you find difficult.

Office Hours: TBA

Assignments

1. Read Section 8.1; problems 1, 3, 5, 6, 7, 8, 9 - 25 odd, 22, 34, 36, 38, 43.

2. Read Section 8.2; problems 1, 10, 13, 21, 22, 24, 35, 42, 46, 53.

3 . Read Section 8.3; problems 1, 3, 4, 5, 9, 14, 23.

4 . Read Section 8.4; problems 1, 3, 4, 11, 24, 29

5 . Read Section 8.5; problems 1, 5, 9, 14, 19

6 . Read Section 8.6; problems 1, 3, 4, 9, 10, 28

7 . Read Section 8.7; problems 1, 3, 5, 9, 15, 16, 23, 29, 41.

8 . Read Section 8.8; problems 1, 5, 11, 13

9 . Read Section 8.9; problems 1, 3, 5, 23, 25.

10. Read Section 9.1; problems 1, 3, 5, 8, 9, 11, 15, 17-26, 35.

11. Read Section 9.2; problems 1-4, 5, 9, 11, 15, 19, 22, 24, 27, 32.

12. Read Section 9.3; problems 1, 3-6, 7, 10, 11, 15, 19, 27, 29, 31, 35, 39, 40.

13. Read Section 9.4; problems 1, 3, 5, 7, 11, 13, 15, 17, 21, 22, 25, 26.

14. Read Section 9.5; problems 1, 3, 5, 9, 13, 14, 17, 26, 29, 35, 45, 46.

15. Read Section 9.6; problems 1, 2, 3, 5, 15, 16, 21, 25, 32.

16. Read Section 9.7; problems 1, 3, 5-24, 29, 30.

17. Read Section 10.1; problems 1, 3, 5-10, 12, 14, 15, 19, 28, 34

18. Read Section 10.2; problems 3, 4, 9, 14,15, 19, 20, 27, 43

19. Read Section 10.3; problems 1, 7, 11, 15, 19, 22, 26, 41, 44, 45

20. Read Section 10.4; problems 2, 3, 9, 12, 18, 19, 23, 24, 29, 30

21. Read Section 10.5; problems 3, 4, 11-16, 18

Keplar's Laws p.735; problems 1, 2, 3, 4

22. Read Section 11.1; problems 1, 2, 9, 10, 12, 23, 24, 31-36

23. Read Section 11.2; problems 3, 5, 7, 8, 13, 33, 35

24. Read Section 11.3; problems 1, 5, 9, 14, 19, 32, 39, 46, 52, 62, 63, 68

25. Read Section 11.4; problems 1, 2, 30, 31, 39, 40

26. Read Section 11.5; probelms 1, 5, 11, 15, 27, 28, 29, 35, 36, 39

27. Read Section 11.6; problems 5, 9, 13, 17, 19, 22, 35, 36, 43, 45

28. Read Section 11.7; problems 1, 5, 12, 25, 26, 32, 36, 37

29. Read Section 12.1; problems 1,2

30. Read Section 12.2; problems 1, 4, 7, 10, 12, 15, 18, 25

31. Read Section 12.3; problems 1, 5, 9, 13, 14, 20, 23, 37, 38

32. Read Section 12.4; problems 1-6, 8, 13, 19, 20

33. Read Section 12.5; problems 1, 3, 7, 13, 16

34. Read Section 12.6; problems 1, 6, 10, 24, 25

35. Read Section 12.7; problems 2, 3, 9, 27

36. Read Section 12.8; problems 1, 5, 6, 8, 15, 16

37. Read Section 12.9; just read.

38. Read Section 13.1; 1, 11-18, 29-32, 33.

39. Read Section 13.2; 1, 3, 11, 13, 15, 24, 37

40. Read Section 13.3; 1, 3, 4, 5, 12, 23

41. Read Section 13.4; 3, 7, 8, 9, 20, 25

42. Read Section 13.5; 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 16, 21, 24, 25, 34

43. Read Section 13.6; 5, 7, 8, 17, 26, 37

44. Read Section 13.7; 2, 7, 13, 17, 20

45. Read Section 13.8; 1, 3, 5, 11, 13, 14, 17, 21, 26

46. Read Section 13.9.