SM161
Calculus and Computers		                                                       Fall Semester
2004

text: Lua documentation; Single Variable Calculus, 5th edition, by James Stewart

Some of the files prepared for SM161-162 use modern features of the HTML language, so modern web browsers ought to be used to view them. Netscape 4 (which you have) is not modern, but Microsoft Internet Explorer 6 (which you also have) is modern. Also modern are Netscape 7 and Opera 7; you most likely do not have them, but Netscape 7 is downloadable freeware and Opera 7 is downloadable advertisement-ware. Opera's ads may be hid (or unhid) by pushing the F11 key.


date day topic/section
monday 23 aug 1 download and install Lua; print, numbers, variables, comments / click http://mathweb.mathsci.usna.edu/faculty/kaplanhm/lua5/index.htm
24 aug 2 arithmetic, precedence of operators, parentheses, standard functions
25 aug 3 standard functions, graphing, formatting graphs
26 aug-27 aug 4,5 for loops
monday 30 aug-31 aug 6,7 logical operators, order relations, if statements
1 sep-2 sep 8,9 while loops
3 sep-tuesday 7 sep 10,11 repeat loops
8 sep-9 sep 12,13 user defined functions, local variables
10 sep 14 dofile
monday 13 sep 15 project 1 is handed out
14 sep 16 absolute value, distance on the line, triangle inequality / Appendix A
15 sep 17 functions; linear, polynomial and rational functions / Appendix B, 1.2
16 sep 18 trig functions / Appendix D, 1.2
17 sep-monday 20 sep-21 sep 19,20,21 sequences, limits of sequences / 12.1
22 sep-23 sep 22,23 arithmetic of limits, squeeze theorem / 12.1
24 sep 24 limits of functions / 2.2
monday 27 sep-28 sep 25,26 arithmetic of limits, sandwich theorem / 2.2, 2.3, 2.4
29 sep 27 continuity of functions, sequential continuity / 2.5
30 sep 28 intermediate value theorem / 2.5
monday 4 oct 29 bisection method / 2.5, click http://mathweb.mathsci.usna.edu/faculty/kaplanhm/sm161notes/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 http://mathweb.mathsci.usna.edu/faculty/kaplanhm/sm161notes/monotone.htm
monday 11 oct 34 general Riemann sums / 5.2, click http://mathweb.mathsci.usna.edu/faculty/kaplanhm/sm161notes/midptrap.htm
12 oct 35 Riemann integral; monotone functions and the Dirichlet function / click http://mathweb.mathsci.usna.edu/faculty/kaplanhm/sm161notes/dirichlet.htm / also click on http://mathweb.mathsci.usna.edu/faculty/kaplanhm/sm161notes/approxinterr.pdf
13 oct-14 oct 36,37 Lipschitz functions and their integrals / click http://mathweb.mathsci.usna.edu/faculty/kaplanhm/sm161notes/lipschitz.htm
15 oct 38 properties of integrals / 5.2
monday 18 oct 39 area / 5.1, 6.1
19 oct 40 project 2 is handed out
20 oct 41 review for test 2
21 oct 42 test 2
22 oct 43 secant slope, tangent slope, tangent line / 2.6
monday 25 oct 44 position, average velocity, velocity / 2.6
26 oct 45 rate of change, instantaneous rate of change / 2.6, 3.4
27 oct 46 the derivative / 3.1
28 oct-29 oct 47,48 rules of differentiation and their application / 3.3
monday 1 nov 49 derivatives of trig functions / 3.5
2 nov 50 higher derivatives / 3.8
3 nov 51 review for test 3
4 nov 52 test 3
5 nov-monday 8 nov 53,54 chain rule / 3.6
9 nov 55 Newton's method / 4.9
10 nov 56 project 3 is handed out
friday 12 nov 57 implicit functions / 3.7
monday 15 nov 58 max/min values / 4.1
16 nov 59 mean value theorem / 4.2
17 nov-18 nov 60,61 curve sketching / 4.3, 4.4
19 nov 62 final project is handed out
monday 22 nov-23 nov 63,64 related rates / 3.9
24 nov 65 differentials / 3.10
monday 29 nov-30 nov 66,67 extremal problems / 4.7
1 dec 68 the antiderivative / 4.10
2 dec 69 the Fundamental Theorem of calculus / 5.3
3 dec-monday 6 dec 70,71 substitution / 5.5
7 dec 72 review for test 4
8 dec 73 test 4
9 dec 74 review for the final examination

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created by Prof Kaplan, hmk@usna.edu. Last modified 8-7-2004.