Monthly Schedule

(Honors AP Calculus, Period C)

W 10/1/08

HW due: Read §§3-6 and 3-7; write §3-5 #1, 2, 3, 5, 9, 10.

 

Th 10/2/08

HW due: Read §3-8; write §3-7 #1-22 all, 25. We will skip the exercises in §3-6.

 

F 10/3/08

HW due: Read #13 on p. 118 so that it is familiar to you and all of §3-9; write §3-8 #1, 4, §3-9 #1-23 all.

 

M 10/6/08

HW due: Read §4-2; write §4-2 #1-29 all. You may omit some of the problems in #1-22 after they start becoming tedious. However, there is no harm in doing all of them for practice. I leave that to your judgment. The best problem in the set is #29, which I have sometimes used as a test problem.

Also please read Mr. Hansen’s three rules and Mr. Hansen’s policies concerning absences, both of which are available as links on the main modd.net page.

 

T 10/7/08

HW due: Read §4-3; write §4-3 #1-26 all, 31. You may omit some of the problems in #1-26 after they start becoming tedious. However, be sure to do #15, 16, 19, and 20. If you have any extra time, spend it making sure that #29 from the previous section is complete.

 

W 10/8/08

HW due: Read §§4-4, 4-5, and 4-6; write §4-4 #1-37 odd plus your choice of 41 or 42.

 

Th 10/9/08

HW due: Write §4-5 #9-25 odd, 29. Some students will want to memorize the formula in #29, though I confess I find it easier to “think it through” using common sense. There will be a problem or two similar to #29 on both our upcoming test and on the AP exam.

 

T 10/14/08

No additional written HW due. However, I strongly recommend that you do some review problems from the ends of Chapters 1 through 4.

In class: Review.

 

W 10/15/08

Test #3 (cumulative through §4-6).

 

Th 10/16/08

HW due: Read §§4-7 and 4-8.

 

F 10/17/08

HW due: Write §4-7 #1, 6, §4-8 #17.

There will be an optional re-test at 7:10 a.m. in the Mathplex for students who had borderline scores from Wednesday’s test.

 

M 10/20/08

HW due: Complete this entire test, keeping a record of your time.

 

T 10/21/08

HW due: Write §4-8 #4, 6, 14, 16, 22, §5-3 #1, 2, 4.

 

W 10/22/08

HW due: Read §5-4; write §5-4 #1-42 as many as you can stand. You need to develop real facility with these. If you reach your limit and still have some time left, prepare §5-3 #7-38 all for oral presentation.

Example: §5-3 #7. Since dy/dx = 21x2, dy = 21x2 dx. With practice, we simply say, “dy = 21x2 dx.”

 

Th 10/23/08

HW due (reduced set in order to allow you to attend the Choral Festival at the Cathedral): Read §5-5; write §5-3 #39, 40.

 

F 10/24/08

HW due: Read §5-6; write §5-5 #1-6 all, 9, 11. It is important to do #1-6 by hand, using a calculator. You are welcome to use a table to reduce the amount of writing (see sample column setup below). You may use Troy’s Integral Approximation Thingy or the “RiemannSums Applet” to check your work. It is crucial that you know how to do the “manual” approach, however.

Sample layout for table consisting of 5 columns:

i        xi        xmdpt.        f (xmdpt.)        rectangle area = f (xmdpt.) ·

To find the midpoint-rule integral estimate, you would add up the values in the rightmost column. Please note that the first mesh point is x0 and the last mesh point is xn, where n = # of intervals, a = x0, b = xn, and  = (b – a)/n.

 

M 10/27/08

Test #4. To help you prepare, I have posted some of the practice test solutions at hwstore.org.

 

T 10/28/08

HW due: Redo the entire test from yesterday, even if there are portions that you know you already answered correctly. You may check answers with classmates, but you need to do all your own writeups.

 

W 10/29/08

HW due: Read §5-7; write §5-6 #1, 1, 3, 4, 5, 6. In other words, do #1 twice. Then, argue with your classmates and correct the test to 100%.

Clarification for #4 on the test: The intent of the question was to see if you knew what was meant by the term “adaptive quadrature,” not to ask whether under certain circumstances adaptive quadrature might entail something happening. In other words, “Sometimes” is not an answer for this question. I apologize if the wording was unclear.

Challenge question: Find a function f defined on the real line in such a way that f is not Riemann integrable.

 

Th 10/30/08

HW due: Read §5-8; write §5-6 #32, §5-7 #1-7 all.

 

F 10/31/08

End of first quarter. For people whose quarter averages need a boost, there will be an optional Multiple-Choice “Stand and Deliver” Test at 7:15 in LJ-302 (Mathplex North). Students who demonstrate that they have now acquired good knowledge and skills will receive some score help through mysterious alchemy.

HW due: Carefully read Braxton’s direct proof of FTC2, the proof that FTC1 and FTC2 are equivalent, and the proof that the square root of 2 is irrational.

 

 

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Last updated: 06 Nov 2008