Monthly Schedule

(Honors AP Calculus BC, Period A)

W 9/6/06

First day of class.

 

Th 9/7/06

Quiz (10 pts.) on the alphabet.

Double HW due (4 pts. each):

1. Send me an e-mail listing the principal topic areas of AP Calculus BC. Remember to begin your subject line with a double underscore and to sign your name at the end of your e-mail. I will ignore any e-mail that is missing the proper subject or that is unsigned. Important: If you have more than one e-mail address, send your message from the location that you check most frequently.

2. Read §§1-1 and 1-2. Brief reading notes are required. Read the HW guidelines to earn full credit.

 

F 9/8/06

HW due: Reread §§1-1 and 1-2; write §1-1 #1, 2.

 

M 9/11/06

HW due: §1-2 #1-10 all (OK to omit the sketches, but give your answers using the style illustrated below), 15, 16, 18, 21, 23, 27.

Example for full credit on #1:

1. f
¢(a) » 0.5 > 0 Ž f is increasing at x = a
    f
¢(b) » 4 > 0 Ž f is increasing at x = b

[Note: Rough estimates of the tangents’ slopes are acceptable. Why must we be sure to say “f is increasing” instead of just saying “increasing” or “it is increasing”?]

[Additional note: Ditto marks are acceptable. However, note that we do not abbreviate the words “increasing” and “decreasing.”]

 

T 9/12/06

HW due: Read §1-3; write §1-3 #2, 4, 6. Show sketches in each case. After doing the square-counting exercise, double-check your answers by using the MATH 9 technique we learned in class Monday.

Note: A good way to learn is to work an odd-numbered problem as a warm-up or additional practice for an even-numbered problem. For #5, the velocity function is not explicitly stated, but you could use the following definition:





 

W 9/13/06

HW due: Read §1-4; write §1-3 #10-14 all, §1-4 #9, 10. (In §1-4, there is no need to show work for now, since we have not yet discussed the trapezoid rule in class. You will need to show work in the future, of course, but not for tonight. Use a calculator program or Troy’s Integral Approximation Thingy to perform the computations.)

 

Th 9/14/06

HW due: Read §1-5; write §1-4 #1, 3, 6, 11-13, 15, 17.

 

F 9/15/06

HW due: Write §1-5 #1-15 odd, 16-19; §1-6 #1.

In class: Warm-Up for Monday’s Test.

 

M 9/16/06

Test on Chapter 1 and Class Discussion. The statement of the FTC (both forms) will be required, along with possibly a few short essay questions. For limits, you need to know the proper notation (as demonstrated in class, with the word “lim” written in cursive), and you need to be able to do problems similar to #1-10 on p. 28.

The following limit-related topics will not be covered on this test:

  • Formal definition of a limit (p. 27)
  • Epsilon-delta computations (#11 and #13 in §1-5).


Reminder: BRING YOUR HOMEWORK BINDER. I will spot-check your binder while you are taking the test.

The test will start early (approximately 7:45) for the benefit of anyone who desires a little extra time. However, time will probably not be the limiting factor. As on last Friday’s Warm-Up, the problems may seem straightforward if you know the underlying concepts, baffling if you don’t. If you are underprepared, no amount of additional time will help very much.

Some suggested review problems (not for a grade): §1-7 #R1e, R2d, R3 all, R5b, T3, T4, T5ab, T7.

You may also wish to check out problems 1-5 in Multiple choice practice #1. Note that although these problems are challenging, they are all feasible with what you currently know. For problem #5, you will need to use MATH 8, since we have not yet learned how to take the derivative of a square root function by symbolic means. An answer key is available, but be sure not to peek before having tried your best. Problem #6 (EVT) will be covered later in the year.

 

T 9/19/06

HW due: Get a good night’s sleep.

In class: Recap/discuss yesterday’s test; formal definition of limit.

 

W 9/20/06

HW due: Read §§2-1 and 2-2; write §2-1 #1, 2, and write 4 or more times either the green box on p.40 or the somewhat shortened symbolic version I gave you in class yesterday.

 

Th 9/21/06

HW due: Read §2-3; write §2-2 #4-10 even, 13.

 

F 9/22/06

HW due: Read §2-4; write §2-3 #5, 12, 13, 18-21.

 

M 9/25/06

HW due: Read §2-5; write §2-4 #6, 9-13, 16, 20, 40, 42, 58, 65, 67-69.

 

T 9/26/06

HW due: Write §2-5 #1-9 odd, 11-14 all.

In class: review.

 

W 9/27/06

Straightforward Quest (70 pts.) on textbook exercises in §1-1 through §2-5. All problems will be based on assigned HW, with numbers and context changed. (For example, you may have a bakery delivery truck instead of a pizza delivery truck.) 

 

Th 9/28/06

HW due: Redo the Straightforward Quest (all problems, even the ones you know you did correctly). Compare answers with friends and discuss as needed. When called upon randomly tomorrow, you will need to have both a correct answer and a convincing ability to explain or answer follow-up questions.

 

F 9/29/06

HW due: Read §2-6; write §2-6 #2, 4, 5, 6, 7, 10, 12, 13.

 

 


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Last updated: 03 Oct 2006