HappyCal Monthly Schedule

(Honors AP Calculus, Period B)

F 11/1/02	No school.
M 11/4/02	Mini-Quiz: State the MVT in words or symbols (your choice). HW due: Practice for the mini-quiz and do §5-6 #3, 7, 11-17 all, 29-32 all, 35, 39.
T 11/5/02	HW due: §5-7 #1-7 all. There is nothing new here; simply work the problems (in a group if you wish) and discover the patterns that emerge.
W 11/6/02	HW due: §5-8 #3, 8. Also, carefully read the articles on FTC in Eric Weisstein's World of Mathematics and Wikipedia. What differences do you see? Find at least one typographical error. More HW: My charge to you in class Tuesday 11/5 (viz., to finish the last two lines of the proof that FTC2 implies FTC1) was flawed because of a chalk-o near the end of the proof. I inadvertently wrote x in several places where I should have written d. Accordingly, you will find it impossible to finish the proof unless you make that change. Please read through the standard version of this proof and, for your HW, simply provide reasons to justify each of the equal signs in the last line of the proof. Optional HW: While you are surfing the Web, why not read the fascinating (and tragic) biography of Evariste Galois, whom we discussed in class on Monday? Also consider the following challenge: Prove FTC2 (by itself) using Braxton's clever method or a method of your own invention. Wordless proofs are encouraged.
Th 11/7/02	HW due Friday (but please start working now): §5-9 #3-24 mo3, 25-38 all.
F 11/8/02	No additional HW due today. In class: We covered the intricacies of the TI calculator sum(seq()) process. This was not directly related to our study of the calculus.
M 11/11/02	Catch-up day. Please get caught up on all of your pending problems.
T 11/12/02	HW due: §5-10 #1, 3, 6, 7, plus any 2 problems (your choice) from the 1999 take-home quiz.
W 11/13/02	HW due: §5-11 #1-3 all, 6-11 all. Please also prove that S = (2M + T)/3 (i.e., that the Simpson's Rule result is equal to a weighted average involving midpoint and trapezoid rule approximations, where the midpoint rule is weighted twice as heavily as the trapezoid rule).
Th 11/14/02	Chapter 5 review. Suggested problems: §5-12 #R1-R11 all.
F 11/15/02	HW due today: Please read Chris and Andrew's proof that Simpson's Rule is a weighted average of midpoint and trapezoid estimates. In class: Chapter 5 review, continued.
M 11/18/02	Test on all of Chapter 5. You are responsible for the textbook problems, the discussions in class, the statement of MVT and possible corruptions thereof, and the following proofs: FTC1 (text pp. 215-217), FTC2 (proved in class, by MIT, and by Braxton and Jimmy), the equivalence of FTC1 and FTC2, and the equivalence of Simpson's Rule to a weighted average of midpoint and trapezoid rules.
T 11/19/02	Optional early start at 9:20 for people who have questions or who would like to see their test results. Main class period starts at 9:45 (Friday schedule, Tuesday classes). No additional HW due today. Statistics from yesterday's test (all scores after adjustment): min=72.7, Q1=81, median=86.6, Q3=92.3, max=97. The mean was 86.3, and the standard deviation was 7.8. Sample size was n = 10. The scores were quite symmetric, with only a small amount of left skewness.
W 11/20/02	No "B" period classes today.
Th 11/21/02	Double HW assignment due today: §6-1 #1-7 all, §6-2 #1-11 all. Note: We will meet today from 8:45 until the fire drill begins at 9:20. The Headmaster’s final announcement at lunch Wednesday may have caused some confusion, but 8:45 to 9:20 is the approved plan. (Mr. Wilson said “Thursday classes, Friday times,” which is not strictly correct. B period is swapped with the assembly period, and the assembly period will be used for the all-Close evacuation drill beginning at 9:20.)
F 11/22/02	No additional HW today. There will be a completeness check for HW.
M 11/25/02	HW due: §6-3 #3-45 mo3, plus #58.
T 11/26/02	HW due: §6-4 #3-12 mo3.
W 11/27/02	No class. Happy Thanksgiving!

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Last updated: 11 Dec 2002