Monthly Schedule

(AP Calculus AB, Period A)

M 4/3/06

Classes resume after spring break.

Show and Tell assignment: If you have not already done so, purchase an AP calculus review book. These are available on eBay or at Crown Books for under $20. Bring your review book to class for a quick visual check.

HW due: pp. 427-429 #R2-R5 all, R6c, R7a; pp. 431-432, #T1-T3 all, T5-T7 all. If you have already done these problems (as suggested), then you have no written assignment.

Today’s topic: §§10-1 and 10-2, plus additional review of Chapter 8.

 

T 4/4/06

Diagnostic Test on Chapter 8, Excluding §§8-6, 8-8, 8-9. Bring all existing homework so that I can check it while you are taking your test. Although today’s test will be only for diagnostic purposes, I want you to take it seriously and study for it.

Here is the problem that was posed at the end of class:

Let R be the bounded region in Quadrant I between f (x) = 9 – x2 and g(x) = x2 + 3. Compute the volume formed when R is revolved about the y-axis.

Solution: The functions cross at the point (Ö3, 6). The “f radius” can be expressed as (9 – y)½, and the “g radius” can be expressed as (y – 3)½. Therefore, V = ∫36 p(g radius)2 dx + ∫69 p(f radius)2 dx » 28.274 cubic units by calc.

Reasonableness check: The blob can be approximated by a sphere of radius 2, which would have volume 33.510. A clear lower bound would be given be two base-to-base right circular cones, each having radius Ö3 and height 3. Therefore, V > 2(1/3)pr2h = (2/3)p(9) = 6p » 18.850.

 

W 4/5/06

HW due: Read §10-3. Also finish all multiple-choice problems from yesterday’s diagnostic test, including those we did not have time for, and use the rubric to compute a score for each subpart of your free-response answers. (Do not simply compute an overall score estimate. Compute a subscore for each letter of each numbered problem.) If you have forgotten your responses, please see me in person. I will make every effort to arrive early Wednesday so that you can finish this up before school.

 

Th 4/6/06

HW due: Read §10-4; write §10-2 #12, 13; §10-3 #1a-6a, 7-10 all, 13.

 

F 4/7/06

HW due: Write §10-4 #2-5 all, 13.

Here is a related rates tutorial with practice problems you may find helpful, especially if the book’s discussion of related rates did not quite click with you. Remember, the basic principles are always the same:

1. Find an equation that relates the variables of interest.
2. Differentiate implicitly.
3. Use your cleverness and algebra to answer the question(s) posed.

 

M 4/10/06

HW due: Read §10-6; write §10-4 #14, 15, 20.

 

T 4/11/06

HW due: Read §11-1 and 11-2; write §10-6 #3, 6, 10, 11, 12. Remember that when these problems say “find,” you cannot simply write down a setup and an answer, since finding extrema is not one of the permitted calculator operations. You must justify each maximum or minimum using algebraic methods. You may use the second derivative test in some cases if you wish.

Diversity Day will not affect our class today. Only D, E, and F periods will be canceled.

 

W 4/12/06

HW due: Write §11-2 #2, 3, 4, 7, 8.

Quest (40 pts.) on §§10-1 through 10-4, plus §10-6. IMPORTANT: Bring your AP review book to class so that you can work review problems if you finish the quiz early. Mr. Andreoli will be checking to see if you have your AP review book.

 

Th 4/13/06

HW due: Read §11-3; write §11-3 #3, 5, 12.

 

F 4/14/06

HW due: Read §11-6; write §11-6 #3, 11, 13.

 

M 4/17/06

Test on Chapter 10, omitting §§10-5 and 10-7.

 

T 4/18/06

HW due: Review problems on pp. 592-593: #R1, R2b, R3a. If time permits, also do #T1 on p. 595, but instead of using an exponential fit, use a Riemann sum (left endpoint or right endpoint) or the trapezoid rule.

In class: HW scan of several recent assignments, plus review for tomorrow’s test.

 

W 4/19/06

Test on §§11-1 through 11-3, plus §11-6.

 

Th 4/20/06

HW due: Fill out the AP review log that I placed in your mailbox, and document 35 minutes of review work on the form. Neatness counts. I will review your log and your written work. Identify each problem by page number and problem number when writing up your work. Keep your work neatly organized, by day, in your 3-ring binder. Sketchy work is permitted for multiple-choice problems.

In class: AP review (day 1 of 8).

 

F 4/21/06

AP review (day 2 of 8).

Summary of rules discussed yesterday:

 

  • Problems must be written up in your binder for credit. Scribbling in the pages of your book does not qualify.
  • For multiple-choice problems, it is acceptable if you wish to 3-hole-punch pages (or photocopies) from the book and then mark them up as homework sheets using the standard format.
  • Sketchy work is permitted for multiple-choice problems. For free-response problems, show work in AP format (3 decimal places for answers, no calculator notation allowed).
  • Be sure to work a mixture of FR and MC problems.


There may be a Quiz (10 points) today on the AP format and exam-taking strategies.

 

M 4/24/06

Phi Beta Kappa Day (no school).

 

T 4/25/06

AP review (day 3 of 8). Note that there is a double dose (70 minutes) of review log HW required for today.

Note: Those who were in class last Friday received a reminder that problems are to be worked on dated sheets of paper, just like regular HW. If you use the “3-hole-punched photocopy” option, the due date still needs to be shown in the upper right corner as always.

 

W 4/26/06

AP review (day 4 of 8).

Bonus (1 point): Solve the following problem that is similar to one we worked yesterday. It can be done without calculator, but you may use your calculator if you feel you must.

For x ≤ –7.5, let f (x) = 2x + 15, and let g(x) = f 2(x). If H(x) = g–1(x), find H ¢(4).

 

Th 4/27/06

AP review (day 5 of 8). Quiz (3 minutes, 4 pts.) will start the day. The problem will be similar to yesterday’s bonus problem.

 

F 4/28/06

AP review (day 6 of 8).

 

 

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Last updated: 03 May 2006