Monthly Schedule

(Honors AP Calculus, Period C)

M 2/2/09

Groundhog Day: Form VI attendance is optional. The rest of us will review for tomorrow’s test. No HW will be collected today, but working on review problems is strongly recommended.

 

T 2/3/09

Test (100 pts.) on Chapter 8, excluding §8-8, and first part of Chapter 9.

 

W 2/4/09

HW due: Get some sleep. Corrections of yesterday’s test are purely optional. I’m serious!

 

Th 2/5/09

HW due: Read §§9-4 and 9-5; write §9-4 #9, 13a, 18a, 21, 23.

 

F 2/6/09

HW due: Read §9-6; write §9-5 #1-29 eoo, 35.

 

M 2/9/09

HW due: Read §9-7, this tutorial, and #24; write §9-7 #1-15 odd. You do not need to write out #24 just yet.

 

T 2/10/09

HW due: Read §9-8; write §9-6 #1, 11, 19, 21, §9-8 #2, 10.

 

W 2/11/09

HW due: Read §9-9, including #25 on pp. 480-481; write §9-9 #18, 27, and any previously assigned problems for which you may have left placeholders.

 

Th 2/12/09

HW due: Read §9-10 and the green boxes on pp. 490-491; write §9-10 #1-9 all. Rewrite each one as a limit and then proceed with FTC1. Show all steps.

 

F 2/13/09

No school (faculty professional day).

 

M 2/16/09

No school (holiday).

 

T 2/17/09

HW due: Get plenty of sleep. Optional review problems on pp. 498-500: #R3, R4, R5f, R6c, R7a, R8, R9c, R10, R11h. One of my favorite problems, which I may adapt for the test, is #T11 on p. 501.

If you wish to read ahead in the textbook, here is our plan from now until the end of the year:

Chapter 10: everything.
Chapter 11: everything except for §11-3 and §11-4.
Chapter 12: everything.

 

W 2/18/09

Test on Chapter 9: Techniques of Antidifferentiation.

Topic list:

 

  • Integration by parts (several problems)
  • Reduction formulas (be able to apply or derive; do not memorize)
  • Problems requiring knowledge of the green box on p. 452
  • Trig substitution (one problem)
  • Partial fractions (one or two problems, nonrepeated linear factors only)
  • Derivatives of inverse trig functions (memorize all)
  • Integrals of inverse trig functions (no need to memorize, but be able to derive)
  • Derivatives of hyperbolic functions (memorize all)
  • Integrals of hyperbolic functions (OK to ignore  and )
  • Very little on inverse hyperbolic functions
  • Improper integrals
  • Mishmash: Be able to identify the appropriate method, even if you are not required to do the integration. Recall that we did dozens of these in class in §9-11.

 

Possible additional topics:

 

  • Arc length (standard, parametric, and polar)
  • Polar area
  • Volume by plane slicing

 

If you are required to do an “engineering-type” hyperbolic function problem, a box similar to the one on p. 481 will be provided for you. The following earlier topics are also fair game: arc length, polar area, volume by plane slicing.

 

Th 2/19/09

HW due: Get some good sleep.

 

F 2/20/09

HW due: Read §§10-2 and 10-3; write §10-2 #2, 4, 11, 12, 13.

 

M 2/23/09

Thanks to everyone, especially Isaac, who helped me in my long, exhaustive search for the red gradebook. I turned the campus upside down, looking in every sensible place I could think of (and quite a few nonsensical places as well). I went through garbage cans, took my office apart systematically—you get the idea. Finally, at about 6:10 p.m. Friday, I gave up and left campus, heading for Politics & Prose to buy a new gradebook. On my way to the car, I walked past the Little Sanctuary, which Isaac and I had already searched thoroughly, three times altogether. I walked straight to one of the numerous pews where I had been sitting during the sports assembly Friday morning, took a few hymnals and prayer books out of the pew . . . and there it was.

Therefore, in celebration of this providential event, I am declaring a No Homework Weekend. No additional homework is due today. Whew!

 

T 2/24/09

HW due: Read §10-4 and the related rates tutorial; write §10-3 #2, 3, 13, and the two problems from the tutorial problem set (click on the link near the top of the page marked “Problems”).

 

W 2/25/09

HW due: Read §10-5; write §10-4 #5, 9, 14.

The steps for “related rates” problems are always the same:

1. Write an equation that relates the quantities of interest. Frequently this is the Pythagorean Theorem, a volume formula from geometry class, or something of that sort.

2. Differentiate implicitly.

3. Plug in the known quantities and attempt to solve for the unknown.

 

Th 2/26/09

HW due: Read §10-6; write the Quest from 2007 and §10-5 #1-4 all.

 

F 2/27/09

HW due: Read §10-7; write §10-6 #6, 10.

 

 

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Last updated: 02 Mar 2009