Monthly Schedule

(AP Calculus AB, Period D)

F 10/1/04

HW due: Chapter 2 Review Exercises (pp. 91-92) #1-49 odd plus 48.

 

M 10/4/04

HW due: “Roll Your Own” review (35 minutes minimum, more suggested).

 

T 10/5/04

Test on Chapter 2.

 

W 10/6/04

No additional HW due. Get a good night’s sleep!

 

Th 10/7/04

HW due: Read §3.1; write §3.1 #1, 4, 5-10 all.

For #5, note that dy/dx means the same as d/dx (y), which in turn means the same as y′. Recall that in class we discussed how d/dx and Dx are both operators that can be translated as “derivative of.” See modd.net/abbrevs2.htm for more details.

 

F 10/8/04

No school.

 

M 10/11/04

Columbus Day (no school).

 

T 10/12/04

Quiz primarily on notation (similar to the two 11-question ungraded quizzes we did in class). Other recent material may also be covered on the quiz.

No additional written HW due. Many of you will be on college trips or will want to get outside and enjoy the pleasant weather.

 

W 10/13/04

HW due: Write §3.1 #12-20 even; then begin reading §3.2.

 

Th 10/14/04

HW due: Finish reading §3.2; write §3.2 #1-10 all.

 

F 10/15/04

HW due: Read §3.3; write §3.3 #2-18 even plus 11. In your reading, you may skim over the proofs. We have already proved the most important rule in class, namely the one that (axn)′ = naxn – 1.

 

M 10/18/04

HW due: Write §3.3 #2-18 even plus 11. I strongly recommend that you work the odd-numbered problems as well, for practice. I also strongly recommend that you enlarge your reading notes to include a “plain English” form of each of the rules, plus a couple of worked examples for each.

Here is the Quotient Rule in condensed form: (u/v)′ = (vu′ – uv′)/v2, or, as my college calculus teacher taught me many, many years ago . . .

“Ho Deehi minus Hi Deeho, all over Ho Squared.”

If you finish your HW early, try proving the Quotient Rule by using the Product Rule and the Power Rule. (You also need to sneak a peek at the Chain Rule in §3.6.) That is where we will begin class today.

 

T 10/19/04

HW due: Read §3.4; write §3.3 #35, §3.4 #QR 1-10 all. For the Quick Review questions, answer all of them by using algebraic techniques with graphical support. For example, in question QR8, you would solve the inequality –32x + 160 > 0 to get x < 5, and you would have an accompanying graph that showed that when y′ is plotted on the vertical axis and x is plotted on the horizontal axis, the graph is in positive territory if and only if x < 5.

 

W 10/20/04

HW due: Read §3.5; write §3.4 #2-16 even.

 

Th 10/21/04

HW due: Read §3.5 if you have not already done so; thoughtfully write §3.4 #29, 28. Do not be overly terse; explain sufficiently for a literate nonmathematical reader to understand. Use your own words; that is how you will learn best.

 

F 10/22/04

HW due: Skim §3.6 (we have already discussed much of this); write §3.5 #2-18 even.

 

M 10/25/04

HW due: Write §3.6 #3-36 mo3. You may read §3.7 if you wish, but that is optional.

 

T 10/26/04

HW due: Read §3.8; write §3.7 #1-20 all, 23-26 all, 37, 39, 48. For all except the final three problems, you may omit the even-numbered one of each pair if you found the odd-numbered one to be too easy. (Be careful, though. You need to develop facility with implicit differentiation, since it is always tested on the AP exam.)

 

W 10/27/04

Test through §3.7.

 

Th 10/28/04

No additional HW due.

 

F 10/29/04

Last day of first quarter. HW due: Read §3.9; write §3.8 #QR 6-10 all, Exercises 3, 6, 9, 19-23 all, 34.

 

 


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Last updated: 30 Oct 2004