Monthly Schedule

(AP Calculus AB, Period D)

W 9/3/03

First day of school. Welcome back!

Discussion: What is mathematics? What is a calculus? What is the calculus about?

 

Th 9/4/03

Quiz on sizzly. (Be sure to cross your z’s, etc.)

Note: Depending on how good your handwriting is, you may also need to pay attention to the following letters: b (distinguish from 6), j (cursive style, similar to i), q (remember the tail), t (distinguish from +), u (curved), and v (pointed). You also need to know the Greek letters a, b, g, d, e, q, l, m, p, r, s, S, f (sometimes written j), c, y, and w.

HW due: Read §§1-1 and 1-2.

 

F 9/5/03

HW due: Write §1-1 #1, 2. Also, reply to e-mail from Mr. Hansen, or send e-mail manually if you did not receive a message in your inbox.
 

M 9/8/03

HW due: Write §1-2 #1-11 all.
 

T 9/9/03

HW due: Read this article and §1-3. Write §1-2 #27, §1-3 #1, 3, 5, 6, 11, 12, 13.
 

W 9/10/03

HW due: Read §1-4; write §1-4 #2, 4, 6, 10, 12. When the number of trapezoids is small (10 or fewer), you should do the work with pencil and paper, using your calculator to perform the computations. However, for larger numbers of trapezoids, feel free to use the Integral Approximation Thingy or a similar tool (see links on Calculus Zone).

 

Th 9/11/03

HW due: Read §1-5 and make sure you are caught up on your previous homework. Feel free to use the Trapezoid Rule formula, which is as follows:

Let y = f (x) be a continuous function on the closed interval [a, b].
Let x0 = a, xn = b, and x1, x2, x3, . . . , xn–1 be mesh points giving n equally spaced subintervals.
Let Dx = (b – a)/n.
Let y0 = f (x0), y1 = f (x1), . . . , yn = f (xn) for convenience of notation.

Then
 òab f (x) dx » T = ½ Dx (y0 + 2y1 + 2y2 + 2y3 + . . . + 2yn–1 + yn)
 

F 9/12/03

HW due: Read §2-2 and #13 in §1-5; write §1-5 #1-10 all (sketch and lim notation required), 12abcdef, 12i, 15, 16, 19.

 

M 9/15/03

HW due: Write §2-2 #1-6 all.

Suggested HW: §1-7 #R1-R6 all, C1. These problems are not required, but since you have a test coming up, it goes without saying that they are strongly suggested. Do a selection if you do not have time to do all of them. The answers for R1-R6 are on pp. 669-670, and the answers for C1 are below. There is also a practice test on pp. 35-36 (work it, then check solutions).

Solution to C1 (please do not peek until you have tried it):
  (a) f (3) = 32 – 7(3) + 11 = –1
  (b) Dy = f (x) – f (3) = x2 – 7x + 11 – (–1) = x2 – 7x + 12
  (c) (x2 – 7x + 12)/(x – 3) = (x – 3)(x – 4)/(x – 3) = x – 4, provided x ¹ 3
  (d) limx®3 (x – 4) = –1

Note: The limit found in part (d) equals f ¢(3), that is to say, the derivative evaluated when x = 3. The fact that f ¢(3) = –1, which happens to equal the value of f (3) found in part (a), is a coincidence of no significance.

In class: Review for test.
 

T 9/16/03

Test #1. You are responsible for the textbook contents through §2-2, the Web article assigned for 9/9, and everything mentioned in class. Solutions for the practice test on pp. 35-36 are now available.

Important: Bring your 3-ring binder to class today. While you are taking your test, I will conduct a general HW check of all assignments since the beginning of the year.
 

W 9/17/03

HW due: Read §2-3 and take notes on a fresh sheet in your binder.

Note: I have modified the HW guidelines to clarify that from now on, when there is a reading assignment, you will be expected to make at least a few notes related to the reading. Keep these notes (definitions of key terms, questions you wish to ask in class, etc.) in your binder. Notes in the margin of your textbook can be helpful to you, but they will not count for credit.
 

Th 9/18/03

HW due: Read §2-4.
 

F 9/19/03

HW due (even though school was cancelled by Isabel): §2-4 #21-48 mo3, 59-67 odd.

 

M 9/22/03

HW due: §2-5 #3, 6, 9, 12, 14.
 

T 9/23/03

HW due: Read §2-6 and get caught up on old HW.
 

W 9/24/03

HW due: §2-6 #1, 3, 4, 5, 7, 8, 11, 12, 13.

In class: Our own home-grown Thingy for trapezoidal rule approximations.
 

Th 9/25/03

HW due: No additional HW due, but now that you have a tool to use, you should be able to complete #12 in §2-5 even if you have no Internet service.
 

F 9/26/03

HW due: Read §3-2; write §3-2 #1, 2, 4, 6, 10, 12-16 all.
 

M 9/29/03

HW due: Read §3-3; write §3-3 #1-7 odd, 8, 10. Since this is essentially a review of material already covered in class, you should be able to do it even though we didn't finish covering the §2-6 HW on Friday.
 

T 9/30/03

HW due: Read §3-4; write §3-4 #Q1-Q10 all (no work required), 4-20 mo4, 32, 34, 35.

After school, in Room R: Optional re-test on §§1-1 through 2-2.

 

 

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Last updated: 02 Oct 2003