SM161
Calculus with Computers

Fall Semester
2009

date

day

topic/section

24 aug

1

download and install Lua; print, numbers, variables, comments / click lua/courseware.htm

25 aug

2

arithmetic, precedence of operators, parentheses, standard functions

26 aug

3

standard functions, graphing, formatting graphs

27, 28 aug

4,5

for loops

31 aug, 1 sep

6,7

logical operators, order relations, if statements

2 , 3 sep

8,9

while loops

4 , 8 sep

10,11

repeat loops

9 , 10 sep

12,13

user defined functions, local variables

11 sep

14

dofile

14 sep

15

project 1 is handed out

15 sep

16

absolute value, distance on the line, triangle inequality / Appendix A

16 sep

17

functions; linear, polynomial and rational functions / Appendix B, 1.2

17 sep

18

trig functions / Appendix D, 1.2

18 , 21 & 22 sep

19,20,21

sequences, limits of sequences / 12.1

23 , 24 sep

22,23

arithmetic of limits, squeeze theorem / 12.1

25 sep

24

limits of functions / 2.4

28 , 29 sep

25,26

arithmetic of limits, sandwich theorem / 2.2, 2.3, 2.4

30 sep

27

continuity of functions, sequential continuity / 2.5

1 oct

28

intermediate value theorem / 2.5

2 oct

29

bisection method / 2.5, click bisection.htm

5 oct

30

review for test 1

6 oct

31

test 1

7 oct

32

sigma notation, left and right sums, sequences of sums / Appendix E, 5.1

8 oct

33

monotone functions and area / 5.1, click monotone.htm

9 oct

34

general Riemann sums / 5.2, click midptrap.htm

13 oct

35

Riemann integral / 5.2; monotone functions and the Dirichlet function / click dirichlet.htm / also click on approxinterr.pdf

14, 15 oct

36,37

Lipschitz functions and their integrals / click lipschitz.htm

16 oct

38

properties of integrals / 5.2

19 oct

39

area / 5.1, 6.1 (rotate about axes only)

20 oct

40

project 2 is handed out

21 oct

41

review for test 2

22 oct

42

test 2

23 oct

43

secant slope, tangent slope, tangent line / 3.1

26 oct

44

position, average velocity, velocity / 3.1

27 oct

45

rate of change, instantaneous rate of change / 3.1

28 oct

46

the derivative / 3.1, and the derivative as a function / 3.2

29 , 30 oct

47,48

rules of differentiation and their application / 3.3

2 nov

49

derivatives of trig functions / 3.4

3 nov

50

higher derivatives / 3.2

4 nov

51

review for test 3

5 nov

52

test 3

6 , 9 nov

53,54

chain rule / 3.5

10 nov

55

Newton's method / 4.8

12 nov

56

project 3 is handed out

13 nov

57

implicit functions / 3.6

16 nov

58

max/min values / 4.1

17 nov

59

mean value theorem / 4.2

18, 19 nov

60,61

curve sketching / 4.3, 4.4

20 nov

62

final project is handed out

23, 24 nov

63,64

related rates / 3.8

25 nov

65

differentials / 3.9

30 nov, 1 dec

66,67

optimization / 4.7

2 dec

68

the antiderivative / 4.9

3 dec

69

the Fundamental Theorem of calculus / 5.3, 5.4

4,  7 dec

70,71

substitution / 5.5

8 dec

72

review for test 4

9 dec

73

test 4

10 dec

74

review

11 dec

75

review