Monthly Schedule

(Honors AP Calculus, Period B)

M 12/2/13

Classes resume. No additional HW due.

 

T 12/3/13

No additional HW due. Get plenty of sleep. The busiest 3 weeks of the school year are upon us, and we need as much energy as possible.

 

W 12/4/13

HW due: Read §8-4; write §8-4 #1, 2, 6, 8, 10, 14. Important: Furnish a sketch for each problem, showing a representative vertical slice.

 

Th 12/5/13

HW due: Read §8-5; write §8-4 #3, 4, 11ab, 16, 18, and the additional problems below. Important: Furnish a sketch for each problem, and do #11 by both horizontal slicing and vertical slicing.

Additional Problem #25.
Prove that the area under a parabolic arch of width 8 ft. and height 12 ft. equals 64 sq. ft.

Additional Problem #26.
Prove that the area under a parabolic arch of width w and height h equals  You are permitted to do this before #25 if you wish.

Additional Problem #27. Do #10 from the practice midterm exam.

 

F 12/6/13

HW due: Write §8-5 #1, 2, 4. Make a sketch for each problem, showing a representative slice.

Optional: Bring a small cake suitable for plane slicing and sharing. If nobody brings a cake, we will be forced to use Play-Doh instead (in which case, we won’t eat the little dV slabs).

Students who leave a shoe overnight in MH-102 may find a little something on the morning of Dec. 6 (St. Nicholas Day)!

 

M 12/9/13

HW due: Read §8-6; redo §8-5 #1, 2, 4 using the method of cylindrical shells. Note: The problems are the same problems you did before, but this time you are using the method from the following section. If you get different answers, that is a clue that you made a mistake either the first time or the second time. Follow your errors to ground! There is a great deal of learning that occurs when you painfully resolve your errors.

Answers without solutions:

1a,b,c. See p. 728.

2a.  cu. units

  b. same as (a)

  c. one-third as large

4a.  cu. units

 

T 12/10/13

No school (snow day).

Note: Wednesday’s assignment is still due on Wednesday.

 

W 12/11/13

HW due:

1. Read §8-7.

2. Write §8-6 #16, 17, 18. Do each problem two ways, even #18 (which is somewhat inappropriate for cylindrical shells). You will find, having done the work for #17, that #18 is not much harder to integrate by cylindrical shells than it is to integrate by plane slicing.

 

Th 12/12/13

HW due: Read §8-9 (we are skipping §8-8); write §8-7 #17-22 all.

 

F 12/13/13

HW due: Finish yesterday’s assignment if you have not already done so; then write §8-9 #2, 18.

 

M 12/16/13

HW due:

1. Be able to derive the formula given in the middle of p. 418.

2. Add a  at the end of the dA expression in the middle of p. 419. (That’s a typo.)

3. Write §8-9 #1, 16.

 

T 12/17/13

HW due: The Play-Doh “snake” with square cross section that was under construction yesterday has been formed into a ring that resembles a “hockey puck with a hole.” The height is 2 cm, the inner diameter is 2.5 cm, and the outer diameter is 6.5 cm. Compute the volume (a) by plane slicing, (b) by cylindrical shells, and (c) by radial slicing.

 

W 12/18/13

Test (100 pts.) emphasizing all recent material, through Chapter 8.

 

Th 12/19/13

HW due: Do problem #5 from yesterday’s test. Be sure to record your start time and end time as part of the assignment.

In class: Guest speaker, Ms. Suzanne Schroer from the Nuclear Regulatory Commission.

Tonight: Please attend Lessons & Carols.

 

F 12/20/13

Moderately Fun Friday! (No additional HW due.)

 

 

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Last updated: 24 Jan 2014