Monthly Schedule

(AP Calculus AB, Period D)

M 12/1/03

No additional HW due. Please make sure you have finished your §5-8 problems, however.

 

T 12/2/03

HW due: Read §5-9, including all examples, and the proof that FTC1 implies FTC2 and conversely. Make reading notes and, if you have any questions regarding the proof, a list of questions. “I don’t understand” is not a question. Make an actual list of questions. Yes, this is hard work.

 

W 12/3/03

HW due: Read §5-10; write §5-9 #3-36 mo3.

 

Th 12/4/03

HW due: §5-10 #3, 4, 7. The green box on p. 226 summarizes what you have already experienced when using integrals in situations of this type. For example, you may wish to calculate distance covered if velocity is a function, or work accomplished if force is a function. (When you were younger, you would calculate distance = velocity · time, or work = force · distance. You can’t use a simple method like that if velocity or work are functions—that’s one reason why you study the calculus.)

 

F 12/5/03

Day of rest.

 

M 12/8/03

HW due: Read §5-11; write §5-11 #1, 2. Simpson’s Rule tabulation (showing your work) is virtually identical to the procedure we used for the trapezoidal rule, except that instead of using weights of 1, 2, 2, 2, 2, . . . , 2, 2, 2, 2, 1, and multiplying the results by ½Dx, we use weights of 1, 4, 2, 4, 2, 4, 2, 4, 2, . . . , 4, 2, 4, 1, and multiply at the end by 1/3 Dx.

 

T 12/9/03

HW due: Select and work problems of your own choosing from pp. 240-246, the review and test. Keep a time log and work for at least 35 minutes.

In class: Detailed discussion of Chapter 5 study guide.

 

W 12/10/03

Test on Chapter 5. If you are one of the 8 people who made an appointment to take the test today, you must take it unless you have an excused absence. You may also take the test today even if you are not one on the appointment list.

At the end of the test, you will be required to indicate whether you want the test to be scored. If the answer is “No,” you should take the alternate version tomorrow. If you fail to appear tomorrow, today’s version will be scored despite your instruction.

Remember, the ground rules for this arrangement are that you agree to take the test today if you have any inkling that you will be absent on Thursday. If you have a scratchy throat today and think you might miss class Thursday, you will take the test today.

I will ensure that the tests are of approximately equal difficulty and that they conform to the Chapter 5 study guide.

 

In between
W and Th

Please check out this test with corrected answer key. Three speedy students caught several egregious typos in the original version that was distributed after school, and I am most grateful for their eagle eyes. I wish I could claim that the errors were intentional, to test your knowledge, but I need to confess. In problem #9, I cross-checked the values of M4, T4, and S8 against each other but inexplicably forgot to check them against the true value of the integral. As you know, I would have deducted 3 points if you had done such a thing on your own test paper, with no ECF since the answers were all NR.

So, fair is fair. Bonus points have been duly awarded. In the process of updating the answer key, I also found and corrected a few other typos.

 

Th 12/11/03

Test on Chapter 5 (alternate version). If you took yesterday’s test and answered “Yes” to the question about scoring, you are not required to attend today. However, if you missed yesterday for any reason, I expect you to be present for the test today. That was our deal.

Also remember, if you took yesterday’s test and asked that it not be scored, you should take today’s version. Otherwise, your score from yesterday will be counted despite your instruction.

Sorry, I can’t grade both tests and count only the better score; that would take too much time and would give you a no-lose advantage over those who could take only one of the two tests. It is much fairer to force you to choose, because then you have a chance of going up or down, not a guaranteed outcome of a final score that is greater than or equal to the original. I don’t want students—or parents, for that matter—calling and saying that a field trip or illness created an unfair disadvantage.

I will ensure that the tests are of approximately equal difficulty and that they conform to the Chapter 5 study guide.

 

F 12/12/03

HW due: A differential equation (pronounced “diffy Q”) is simply an equation that involves a derivative. To solve a diff. eq. means to find a function, usually y = f (x), that satisfies the diff. eq. Work step by step through problems #1-7 on p. 251 (exploratory §6-1).

 

M 12/15/03

HW due: §6-2 #1-12 all.

 

T 12/16/03

HW due: §6-3 #3-45 mo3.

 

W 12/17/03

HW due: Read §6-5; write §6-5 #3-33 mo3, 37, 38.

 

Th 12/18/03

HW due: Read §6-6; write §6-6 #3-21 mo3, plus 19. Also (not counted toward 35 minute limit), you need to patch up your §6-5 problems.

 

F 12/19/03

No additional HW due. (Enjoy the Lessons & Carols service on Thursday evening.) In class: Some real calculus, plus some Jeopardy Bingo, plus the Magruder/Magruder/Hansen Christmas Carol Combo.

 

 


Return to the Calculus Zone

Return to Mr. Hansen's home page

Return to Mathematics Department home page

Return to St. Albans home page

Last updated: 05 Jan 2004