Monthly Schedule

(Honors AP Calculus, Period A)

W 2/1/012	Test (100 pts.) on all recent material. In order to prepare for the test, work as many of the problems as you can from yesterday’s assignment, except this time for real. Note that reduction formulas will be furnished on the test, but you may be required to derive one or more of them.
Th 2/2/012	HW due: Read §§9-8 and 9-9, including the green box on p. 481. Note: The functions sinh, cosh, and tanh, along with their inverses, are not available from your calculator’s pushbuttons, but they are available from the catalog (2nd CATALOG). Try them out!
F 2/3/012	HW due: Read §9-10; write §9-8 #10, §9-9 #6, 10, 25abcdefg, 27abcd, §9-10 #10, 12, 20. If you get bogged down in #25 and #27 in §9-9, you may peek at the answers in the back of the book.
M 2/6/012	HW due: 1. Before 8 a.m. today, send Mr. Hansen an e-mail stating whether you will be participating in the AMC 12 competition, which will be held after school on Tuesday, Feb. 7. 2. Read §10-2. 3. Redo §9-10 #11, which we did (incorrectly) as a class last Friday. The problem is that we obtained the correct answer, but for the wrong reason. The correct technique is to choose a fixed value in the interval (0, 1). Any value will do, and 0.5 is as good as any other. Then write All you have to do is to show that one or both of those limits are DNE, since the overall answer is DNE unless both of the limits converge. The error that your Fearless Teacher made last Friday was to forget that both endpoints of the original problem cause the integrand to be undefined, meaning that 2 limits are required. The correct solution of the problem is more involved than the version presented on the board. 4. Sleep!
T 2/7/012	HW due: 1. Write §10-2 #13. 2. If your initials are AB or TK, you need to check your e-mail ASAP and respond!
W 2/8/012	HW due: Read §10-3; write §10-3 #1a-6a all, 2b, 3b, 7-10 all, 16abc.
Th 2/9/012	HW due: Read §10-4 (reading notes required, as always), work through this related rates tutorial, and write #5 on p. 520. Here are the steps required for the tutorial: 1. Read the text (approximately 4 screens’ worth when you scroll down). 2. If anything strikes you as worthwhile from the reading, add it to your §10-4 reading notes. 3. Click on the tutorial link marked “Problem Sets” either at the top or at the bottom of the page (both go to the same place). 4. Write up the two problems found there as if they were regular homework problems. If you are not familiar with the rules of baseball, you should ask a classmate for help. 5. After you have finished, click on the “Answers” link. Use a red pen or some other distinguishable color to correct your answers. 6. Don’t forget to do #5 on p. 520 also.
F 2/10/012	HW due: Read §10-5; write §10-4 #13, 14, 15, 20.
M 2/13/012	No additional written HW due. Make sure that last Friday’s assignment (including #20) is complete.
T 2/14/012	HW due: Write §10-5 #3, 4, 13, 14, and a selection of additional review problems (your choice) in §§10-1 through 10-5.
W 2/15/012	Test (100 pts.) on Chapter 10, through §10-5 only. No material from Chapter 9 will be on this test. A calculator will be required for this test. Remember, if you are required to find a minimum or a maximum, you must use calculus techniques based on derivatives, not merely the max-min finder on your calculator’s 2nd CALC menu.
Th 2/16/012	HW due: Sleep. You will be graded on the quality of your sleep.
F 2/17/012	No school.
M 2/20/012	No school.
T 2/21/012	HW due: 0. If you have not already done so, finish your page 1 rewrite from last Wednesday’s test. Write both your name and your partner’s name in the upper right corner. Note: It is strongly recommended that you consider at least two approaches. Remember the Rule of GNAV! 1. Read §10-7. 2. Write §10-6 #6, 9, 12. 3. Watch both Part I and Part II of the “Tenth Dimension” video. Note: The “Tenth Dimension” video is not factual. It is one of many competing ideas of what might be true in extended dimensions. However, it is a fascinating journey into abstraction, and it contains many ideas that we have discussed in HappyCal. If you have time, please watch both parts more than once, since you will pick up additional insights on repeated viewings.
W 2/22/012	HW due: Without using notes (unless absolutely necessary), re-derive and memorize the formula we developed yesterday for . Then, since , write a simple formula for . In class: Fun Friday (remember, we’re on a Friday schedule).
Th 2/23/012	HW due: Read §11-2; write §10-7 #1, 4, 7, 9, 14.
F 2/24/012	HW due (web server down): Read §11-2; write §10-7 #1, 4, 7, 9, 14. Note: This is a rehash of the previous assignment. Make sure it is done well, with all answers complete! And then, get some good sleep.
M 2/27/012	HW due: Review §9-8, §9-9, §9-10, and all of Chapter 10, especially vectors. You may do this by rereading portions of the textbook and/or by working selected problems found at the ends of the sections or at the ends of the chapters. Nothing will be collected on Monday. Additional review problems will be assigned Monday to be handed in on Tuesday, Feb. 28.
T 2/28/012	HW due: Review problems listed below. (Make a selection. Do as many as time permits, and keep a time log. Any that you cannot complete will become part of your HW for Wednesday.) p. 499 #R8abc p. 499 #R9cdef p. 499 #R10abce p. 502 #T14 p. 549 #R2b p. 549 #R3a p. 550 #R5b p. 550 #R6a p. 550 #R7b (Optional additional vector practice: p. 553 #T6-T15.)
W 2/29/012	HW due: Finish the review problems listed in yesterday’s calendar entry. The vector practice problems (#T6-T15) are not required but are strongly recommended, since a vector quiz is likely today. Also strongly recommended: §9-9 #27bcd. We will go over #27bcd after the quiz. Hint for #27c: If we let h = horizontal tension, v = vertical tension, then the total tension is where v (imagine a triangle with legs of h and v) equals h times the slope in effect at point x. This is analogous to having a ramp pitched at a certain slope, say 1 foot for every 3; if you walk on the ramp for a horizontal distance of 18 feet, which would be a little more than 18 feet along the ramp surface, your vertical position would increase by feet, which is the product of the horizontal change and the slope. In the same way, #27c has i.e., All that remains is to plug in and simplify. You should already have an expression for y as a function of x from part (a).

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Last updated: 20 Apr 2012