Monthly Schedule

(AP Calculus AB, Period D)

W 10/1/03	HW due: Work a selection of problems from pp. 71-76 and pp. 123-127, and bring your questions to class. Your questions must be specific; “I don’t understand problem 2 on p.123” is not acceptable. Please take this assignment seriously.
Th 10/2/03	Additional day of review (Mr. Kelley, substitute teacher). Yes, I realize that we have not yet gone over the §3-4 HW, but please keep in mind that virtually all of this material is a repeat of things that we did earlier in the semester, before the book introduced the concepts. One example of a “more difficult” problem from §3-4, which you would be expected to be able to handle on Monday’s test, would be #20. Here is the complete solution: g ¢(x) = d/dx (5x³) = lim_h_®₀ (g(x + h) – g(x))/h = lim_h_®₀ (5(x + h)³ – 5x³)/h = 5 lim_h_®₀ ((x + h)³ – x³)/h = 5 lim_h_®₀ (x³ + 3x²h + 3xh² + h³ – x³)/h = 5 lim_h_®₀ (3x²h + 3xh² + h³)/h = 5 lim_h_®₀ (3x² + 3xh + h²) [Note: parentheses are required.] = 5 (3x²) [The other two terms vanish because h grows arbitrarily small.] = 15x² Answer: 15x². However, you get very little credit for merely writing “15x²” if the problem asked you to apply the definition of the derivative function. This approach differs slightly from the “x®c” version that you placed in your notes earlier this week. The distinction is that we use x®c, with the expression x – c in the denominator of the difference quotient, when we are using the definition for derivative at a point. Make sure that your work is equivalent jot-for-jot to the solution above. To answer the second part of the question, observe that g ¢(x) = d/dx (5x³) = 15x² is an immediate consequence of the green boxes on p. 92. Note: Using the method of the green boxes on p. 92 to find derivatives of polynomials is almost always permitted. The only exception would be in a case such as #20 above, where the instructions specifically tell you to use the definition of derivative.
F 10/3/03	Day of rest. For anyone who would like a copy of Tuesday’s optional re-test on §§1-1 through 2-2 as a study aid, please note that there were two typographical errors in the last problem that have now been corrected. Because these typos affected the conclusion concerning whether d was too large or too small, I had to grade that problem rather leniently.
M 10/6/03	Test #2 (cumulative). You are responsible for the textbook contents through §3-4 and everything mentioned in class. If there is a trapezoid rule problem on this test, you will be allowed to use your Thingy program to check your answer, but you must still show work.
T 10/7/03	HW due: Read §3-5; write §3-5 #8abcde. As you work #8, remember that you cannot use the rule on p. 92 for finding derivatives, because the function given for v(t) is not a polynomial. Instead, you should use your calculator to define v(t) as Y₁ and the numeric derivative nDeriv(Y₁,X,X) as Y₂.
W 10/8/03	HW due: Write §3-5 #Q1-Q10 all, 1, 2, 3, 5, 6, 9, 11. For #3, if you do not remember how to use your calculator’s parametric mode, please consult your calculator manual. (You did keep it, didn’t you?)
Th 10/9/03	HW due: Read §3-7; write §3-6 #1, 2, 3, 7, §3-7 #1, 2, 3-21 mo3.
F 10/10/03	No school.
M 10/13/03	No school.
T 10/14/03	HW due (double assignment, 70 minutes): Read §§3-8 and 3-9; write §3-8 #Q1-Q10 all, 1-4 all, §3-9 #2-16 even, 17-24 all. For #2-16 even in §3-9, no work is required. However, use proper notation to write an equation in each case.
W 10/15/03	Review day. Please bring your questions. Although there is no additional written HW due, you should check your recent HW answers against the answer key. In class: Eight Simple Rules for doing well on tomorrow’s test.
Th 10/16/03	Test #3 (cumulative through Chapter 3). Material such as continuity and the definition of derivative will be included on this test, even though you have already been tested on it. If you have not already looked at the answer key and “Eight Simple Rules” postings from yesterday, please do so. You will find both of these very helpful as you prepare for the test.
F 10/17/03	No additional HW due today.
M 10/20/03	HW due: Revisit §3-8 #3.
T 10/21/03	HW due: Create and solve two difficult problems, one for chain rule and the other for sketching derivatives and antiderivatives. Then, if you have not already done so, correct your test so that it is 100% correct. Use a fresh sheet of paper for your corrections. In class: Calculus Jeopardy Bingo.
W 10/22/03	Review, plus round 2 of Calculus Jeopardy Bingo. No additional HW due.
Th 10/23/03	Multiple-Choice Quest (70 points).
F 10/24/03	Last day of first quarter. No additional HW due.
M 10/27/03	HW due: §4-2 #1-23 all, 25, 27.
T 10/28/03	HW due: §4-3 #3-27 mo3. Also, please read Mr. Hansen’s Clarifications. (There is no need to make a printout unless you really want to.)
W 10/29/03	HW due: §4-4 #3-36 mo3, 37, 38, 43. First quarter grades are now posted. (Please check your e-mail to find out what your codename is. If you do not have an e-mail, that is because I must have an incorrect address on file for you, which means that you should send me another e-mail to inform me of your correct address.)
Th 10/30/03	Small Quiz on Mr. Hansen’s Clarifications. No additional HW due today. However, be prepared for a HW scan on one or more of the sections in Chapter 4. (All should be complete and fully corrected by now, even if you were not able to finish them on the first pass.)
F 10/31/03	No school.

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Last updated: 04 Nov 2003