SM122, Calculus II  Fall, 2000-2001

Syllabus

Text: CALCULUS: Concepts and Contexts by James Stewart

 

Software: MAPLE 6

      C2Notes

Link to Website

 

NOTE:

1. M refers to Maple solutions

 

Lesson Sections Topics                                                   Problems

 

1            C2Notes Review-Differentiation, Integration          C2MR:  Review Exercises: 1, 2, 3, 4

2            C2Notes Introduction to Maple V                          C2M0:  Introduction Homework

3            5.5           Substitution                                             p391:  23;  p400:  1, 3, 4, 10, 18, 28, 38

4                           Maple                                                    C2M1: 1, 2, 3, 4

- - - - - - - - - - 27 August - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 

5            5.5           Substitution                                             p400:  39, 41, 44, 48, 62, 67    

6            C2Notes Rational Functions, C2M2                        C2M2: 1, 2

7            C2Notes Rational Functions, C2M2                        C2M2: 3, 4

8            5.6           Integration by Parts                                 p407:  1, 3, 4, 8, 10, 12, 17, 22

- - - - - - - - - - 4 September, Labor Day - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  

 

9            5.6           Integration by Parts                                 p407:  5, 13, 18, 24, 25, 26

10          5.8           Approximate Integration                          p425:  1, 11, 14,17,  C2M3

11          5.8, 5.9    Approx Int, Impr Integrals                       p425:  22, 25;  p435: 1, 6, 8

- - - - - - - - - - 10 September - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 

12          5.9           Improper Integrals                                  p435:  16, 23, 24, 26,  C2M4

13          5.9           Improper Integrals, Review                     p435:  31, 33; p439: 7, 8, 13, 15, 17

14          TEST I                                                                

15          6.1           Area                                                      p453:  1, 4, 9, 14, 27,  C2M5

- - - - - - - - - - 17 September - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

 

16          6.2           Volumes                                                 p462:  2, 3, 7, 8, 16, 17

17          6.2           Volumes                                                 p462:  6, 19, 22, 24, 26

18          6.3           Arc Length                                             p468: 1, 3, 4, 5, 18

19          G.1          Polar Coordinates                                   A63:  2, 3, 6, 9, 11, 23, 24

- - - - - - - - - - 24 September - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

 

20          G.1, G.2   Polar Coordinates, Area                          A63:  27, 30; A69:  1, 2, 5  C2M6

21          G.2          Area in Polar Coordinates                       A69:  6, 11, 12, 13, 17, 18

22          6.5           Applications                                            p482: 1, 3, 5, 9, 12

23          6.5           Applications                                            p482: 13, 15, 17, 19

- - - - - - - - - - 1 October - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 

24          6.5           Applications                                            p482: 21, 27, 30, 32

25          TEST II

26          7.1           Differential Equations                              p508: 1, 2, 4, 5, 7,  C2M7

27          7.2           Direction Fields                                       p513: 1, 2, 7, 15 M, 17 M    

- - - - - - - - - - 9 October,  Columbus Day  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

               

28          7.3           Euler’s Method                                       p517: 1, C2M8

29          7.4           Separable Differential Equations              p524: 1, 3, 7, 8, 13

30          7.4           Separable Differential Equations              p524: 5, 9, 14, 16, 21, 24

 

Lesson Sections Topics                                                   Problems

 

- - - - - - - - - - 15 October  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 

31          7.5           Exponential Growth and Decay                p534: 1, 3, 5, 8, C2M9

32          7.5           Exponential Growth and Decay                p534: 4, 9, 13, 14

33          Review

34          TEST III

- - - - - - - - - - 22 October - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

 

35          8.1           Sequences                                              p567: 1, 3, 4, 5, 6, 7, 11, 12, 14, 25,   C2M10  

36          8.2           Series                                                     p577: 1, 2, 4, 5, 9, 11, 13, 15

37          8.2           Series                                                     p577: 16, 19, 27, 29, 31, 39, 42

38          8.3           Integral Test, Comparison Tests               p588: 1, 3, 4, 6, 7, 11, 17, 18, 19, 35

- - - - - - - - - - 29 October - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

 

39          8.4           Alternating Series, Ratio Test                  p595: 1, 2, 3, 4, 7, 8, 20, 21,  C2M11

40          8.4           Ratio Test                                              p595: 22, 23, 25, 27

41          8.5           Power Series                                          p602: 1, 2, 5, 7, 8, 10, 14,   C2M12

42          8.5           Power Series                                          p602: 9, 11, 13, 15, 17

- - - - - - - - - -  5 November - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

 

43          8.6           Series for functions                                 p607: 4, 6, 10, 12, 19, 21

44          8.6           Series for functions                                 p607: 9, 11, 15, 23, 28, 31, 33

45          8.7           Taylor & Maclaurin Series                      p618: 1, 2, 4, 23, 29, 37,  C2M13

                             Veteran’s Day

- - - - - - - - - - 12 November - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  

 

46          8.7           Taylor & Maclaurin Series                      p618: 8, 9, 16, 22, 38, 39, 45, 49,  C2M14     

47                         Review                                                 

48          TEST IV

49          9.1           Three-Dimensional Coordinate System     p650: 1, 2, 5, 7, 10, 11, 14, 16

- - - - - - - - - - 19 November - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

 

50          9.2           Vectors                                                  p658: 2, 4, 5, 9, 11, 16, 18               

51          9.2, 9.3    Vectors, Scalar product                           p658: 3, 12, 19, 20;  p665: 1, 2, 3, 4

 

- - - - - - - - - - Thanksgiving, 23 November  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 

52          9.3           Scalar Product                                        p665: 10, 11, 16, 19, 22, 27, 31

53          9.4           Cross product                                         p673: 1, 3, 5, 7, 10, 16,  C2M15

54          9.4           Cross product                                         p673: 8, 11, 19, 25

55          9.5           Lines and Planes                                     p682: 1, 2, 5, 6, 9, 10, 12, 17, 19,  C2M16

- - - - - - - - - - 3 December - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

 

56          9.5           Lines and Planes                                     p682: 7, 15, 22, 32, 41, 43

57          Review

 

Final Examinations: 8, 11-16 December  2000