Monthly Schedule

(Honors AP Calculus, Period A)

M 10/1/012	No additional written HW due. If you have extra time, reading ahead in the textbook is always recommended.
T 10/2/012	HW due: Read §3-7 and 3-8; write §3-7 #25, §3-8 #1, 2, and the additional problem below. A4. Make up a function definition of nearly ridiculous complexity. Exchange with a friend who has made a function for you. Find the equation of your friend’s derivative function, and evaluate each other’s work critically. Example: If you have no friends or cannot locate any on short notice, use the example function above.
W 10/3/012	HW due: Read §3-9; write §3-9 #2-22 even, 23abcd, 24abcd.
Th 10/4/012	HW due: Read §4-2; write §4-2 #3-21 mo3, 23.
F 10/5/012	No school (faculty professional day).
M 10/8/012	No school (Columbus Day).
T 10/9/012	HW due: 1. If you missed any portion of the fractals video, or if you wish to review it, be sure to watch it over the long weekend. You are responsible for the content of the video, including terminology (dimension, self-similarity, etc.), the relationship between organism mass and energy consumption, and the following names: Benoit Mandelbrot, Helge von Koch, Georg Cantor, Gaston Julia. 2. Read §4-3 and 4-4. Reading notes are required, as always. 3. Prove the Quotient Rule, taking as lemmas the Chain Rule and the following:     Product Rule: If u and v are functions of x, then     Power Function Rule: If u is a function of x and k is any real constant, then 4. Prepare the following problems for oral presentation: §4-3 #1-26 all, §4-4 #1-36 all. Written work is permitted but is not required. Simplification is not expected. 5. Write §4-4 #41abc.
W 10/10/012	HW due: Read §4-5; write §4-5 #5, 6, 10, 14-22 even, 23, 24.
Th 10/11/012	HW due: Read §4-6; write §4-6 #22-34 even, 35.
F 10/12/012	HW due: Read §4-7; write §4-5 #29c (i.e., prove the green box on p. 153), §4-7 #3, 4, 10.
M 10/15/012	HW due: Read §4-8; write §4-8 #2-24 even, 25.
T 10/16/012	HW due: Write p. 176 #T3, T6, T7-T14 all; write §5-2 #1-16 all. Be sure to write both the summary of the problem and the circled answer (usually in the form of an equation).
W 10/17/012	HW due: 1. Read §5-3. Reading notes are required, as always. 2. In your own words, explain why dy is usually not equal to . 3. Write §5-3 #1-4 all.
Th 10/18/012	HW due: 1. Prepare §5-3 #7-24 for oral presentation only. An example is given below.     7. Note: The common mistake is to forget to say “dx” at the end. 2. Write #25-40 all. 3. Answer the following question: What did you do when you gave the answers to #25-38? Use terminology from yesterday’s class discussion.
F 10/19/012	HW due: Because the headmaster’s announcement at lunch on Thursday 10/18 implied that the web server was down, many students may have assumed that they would be unable to reach this site tonight. If you are reading this message, you are surely aware that it is only the e-mail server that is down, not the web server. However, because of the possible confusion associated with the announcement, there will be no additional written HW due today. Please use the time to get caught up on previously assigned problems or, if you are already caught up, to sleep. Note: We could have had homework due today, since nothing is wrong with the web server. You should always check here, regardless of any other announcements or rumors you may have heard. However, on this particular occasion, Mr. Hansen the Merciful made the decision to have a night with no additional HW.
M 10/22/012	HW due: Read §5-4; write §5-4 #3-45 mo3.
T 10/23/012	HW due: Read §5-5; write §5-5 #2-8 even, doing all work with a calculator and showing your work, plus #11 with a computer. You can use, for example, the RiemannSums Applet, for which there is a link on our class web page, or Troy’s Integral Approximation Thingy.
W 10/24/012	HW due: Read §5-6; write §5-6 #1, 3-6 all, 11, 30, 32.
Th 10/25/012	HW due: 1. Read §5-7 and 5-8. 2. Read these proofs that FTC1 implies FTC2 and conversely. You may be asked to reproduce all or any portion of these proofs on a test or a quiz, including the statements of FTC1 and FTC2. 3. Read Braxton’s direct proof of FTC2. 4. Write §5-7 #1-7 all. 5. Write §5-8 #2. For your evidence (the “show” part), you may use a table built from entries obtained with the help of the Thingy or the RiemannSums Applet.
F 10/26/012	HW due: Read §5-9; write §5-9 #3-21 mo3, 22-38 all. Use MATH 9 to check your answers to #3-24.
M 10/29/012	No school (Hurricane Sandy).
T 10/30/012	No school (Hurricane Sandy).
W 10/31/012	HW due: 1. Read §5-10, especially the green box on p. 226. 2. Correct the typo in the green box. Part (c) should say dP, not dp. 3. Read the following paragraph and answer the questions that follow below. The green box gives the general rule for handling what is known as a variable-factor product. For example, in the Lower School you learned that Work = Force · Displacement. That’s easy if “Force” is constant: Simply multiply Force times Displacement, and we have our answer. However, in the real world, Force often fluctuates. To compute the Work, we must use the result of the green box: where the displacement from a to b is chopped up into infinitely many tiny units that we call dx, and Force is a function of position x. (a) Why do we often call this concept the “variable-factor product” method? (b) Does the idea of a variable-factor product have widespread application in the real world? 4. Write §5-10 #3, 4.

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: 07 Feb 2013