Monthly Schedule

(Honors AP Calculus, Period A)

M 10/3/011	HW due: Read §4-7; prepare §4-6 #1-12 all for oral quizzing; write §4-6 #31-35 all, 38.
T 10/4/011	HW due: Read §4-8; write §4-7 #4, 7, 10, 12. Note: Partial answers are acceptable for #12. Some trial and error will surely be necessary.
W 10/5/011	HW due: Read §5-2; write §4.8 #3-27 mo3, plus #22.
Th 10/6/011	HW due: Read §5-3; write §5-2 #1-17 all. These are very quick. Important note: In the green box on p. 185, there are 2 typos. These are critical typos. You can either (1) add “hats” to both y’s in the equations (i.e., write instead of y both times), or (2) change both equal signs ( = ) to approximately-equal signs .
F 10/7/011	No school.
M 10/10/011	No school.
T 10/11/011	HW due: Write §5-3 #1, 2, 9-39 mo3 (all required), plus a selection (your choice) from the following review problems: p. 174 #R4 (all parts), R6bcd pp. 176-177 #T1-T17 (make a selection that is reasonable in terms of time and your individual study needs)
W 10/12/011	Test (100 pts.) on Chapter 4 and §§5-2 and 5-3.
Th 10/13/011	HW due: Sleep!
F 10/14/011	HW due: Read §§5-4 and 5-5; write §5-4 #3-42 mo3, 43, 44.
M 10/17/011	HW due: Read §5-6; write §5-5 #7, 8, 12. For #7 and #8, please do the work manually (i.e., with calculator) and then check your results with the Thingy or the RiemannSums applet demonstrated in class last Friday.
T 10/18/011	HW due: Read §5-7, Braxton’s direct proof of FTC2, and the proof that FTC1 implies FTC2 and conversely. Give a reason for each step in the chain of equalities in the proof that FTC2 implies FTC1, and write §5-6 #1, 3, 4, 5, 6, 11, and 31. Note: In #31, change part (g) to use an interval of [1, 6] and limits of integration from 1 to 6.
W 10/19/011	HW due: 1. Show by example (do not copy the book’s example—find an original one) that breaking the differentiability requirement in MVT may cause the conclusion to fail to hold. 2. Show that the conclusion of MVT may hold, in some cases, even if the differentiability requirement is broken. 3. Read §5-8. 4. Write §5-7 #8-13. Your conjectured answer to #13 may seem obvious in light of the reading from §5-8, or it may not seem obvious at all. Different students will have different reactions to this sequence of problems.
Th 10/20/011	HW due (chorale-friendly version): Working with a study buddy, or a younger sibling who can sketch a graph of a function on a piece of paper, or a stuffed animal, practice taking the graph of a made-up function f and sketching (a) f itself, showing sufficient detail to be interesting (b) (c) (d) an antiderivative of f (i.e., a function F such that ). Bring your sketches to class on a standard sheet of homework paper.
F 10/21/011	HW due: 1. Read §5-9. 2. Fill in yesterday’s quiz, making sure to follow the additional take-home instructions printed on the sheet. 3. Write §5-8 #1, 7, §5-9 #1-11 odd, 25, 31-36 all. Note that §5-9 #1 is done as an example. You may copy the work given here. 1.
M 10/24/011	HW due: Review problems on pp. 241-243 #R2, R3, R4, R5abcd, R6be, R8a, R10.
T 10/25/011	*Test (100 pts.), cumulative through §5-9. NOTE:* Test will be held in MH-214 starting at 8:00.** You are responsible for the last names and the most salient fact for each of the following famous mathematicians: Cantor, Cauchy, Gödel, Julia, Koch, Leibniz, Mandelbrot, Newton, Russell, and Weierstrass. Proofs that you may be required to reproduce in whole or in part: (p. 154), (from online posting). Accurate statements of theorems: IVT, EVT, MVT, FTC1, FTC2. The choice of which version of FTC you call “1” and which you call “2” is not important. Definitions are important, as always. There are numerous important definitions that we discussed, but be especially aware of the definition of Riemann integrability (p. 197).
W 10/26/011	No additional HW is due today. However, older problems may be re-scanned. Bring all equipment to class, as always: pencil, calculator, textbook, 3-ring binder.
Th 10/27/011	HW due: Review §5-10, which we read in class (additional reading notes are optional this time); write §5-10 #3, 4, 7.
F 10/28/011	HW due: 1. Read §5-11. The derivation of Simpson’s Rule is interesting, and you should be able to understand the steps. 2. Let S_n denote the Simpson’s Rule estimate given on p. 233. Let (a) Explain why m is an integer. (b) Prove that where M_m and T_m denote the midpoint and trapezoid rule estimates, respectively, using “double-wide” intervals. In other words, if the Simpson’s Rule estimate uses a step size of then the midpoint and trapezoid rules use a step size of 3. Write §5-11 #2, 4.
M 10/31/011	HW due: 1. Read §6-3. 2. In the margin of p. 257, use pencil to write a note to yourself explaining why the formula in the green box is not strictly correct. Hint: The use of “+ C” implies a single constant, but there could be 2 constants in a piecewise definition. Why? 3. Write §6-3 #3-45 mo3, 47-51 all, 58.

Return to the HappyCal Zone

Return to Mr. Hansen’s home page

Return to Mathematics Department home page

Return to St. Albans home page

Last updated: 01 Nov 2011