HappyCal Monthly Schedule

(Honors AP Calculus, Period B)

M 12/2/02

HW due: §6-5 #3-30 mo3, plus your choice of #37 or #38.

 

T 12/3/02

HW due: §6-6 #3-18 mo3, plus #20.

 

W 12/4/02

HW due: §6-7 #3-57 mo3, plus #59. Also read about the Rule of 72, which will be covered briefly on the next test.

 

Th 12/5/02

No school (snow day).

 

F 12/6/02

Class meets in Steuart 101 today because of House Tour.

HW due: §6-8 #3-36 mo3.

 

M 12/9/02

HW due: §6-9 #3-54 mo3. There is also a possible quiz on L’Hôpital’s Rule.

 

T 12/10/02

HW due: §6-9 #57-90 mo3 (required) plus suggested review problems: R1, R3-R9, T1-T18. Try to generalize the result in #T11 if you can.

 

W 12/11/02

No school (ice storm).

During your day off, please feel free to call me at the 24-hour voice mail number (see contact info) if you have any questions.

 

Th 12/12/02

Test on Chapter 6. The only other classes that have test conflicts for today are other math classes and freshman biology; therefore we will have the test today that was originally scheduled for yesterday.

 

F 12/13/02

HW due: Read §7.1 and work a few of the problems. We will go over these in class.

 

M 12/16/02

HW due: §7-1 #6, plus any 2 questions of your choice in §7-2 (except for #9, which is the same as #6 in the previous section).

 

T 12/17/02

HW due: §7-3 #1-7 odd.

 

W 12/18/02

HW due: Make sure you are caught up on your written work through §7-3. Then read §7-4 carefully and download the slope field/Euler's method program for your TI-83 calculator so that we can use it in class. You will need to use the Graph Link software and cable in Room S, or you can buy a TI-Connect USB cable for $20 at most office supply stores.

 

Th 12/19/02

HW due §7-4 #2, 7, 10; also read §7-5 and write §7-5 #1, 2, 3.

 

F 12/20/02

Class DOES meet today as usual. Dr. Bennett will be your substitute teacher.

HW due: §7-6 #1-15 all. If you attended the Festival of Lessons and Carols Thursday night as required, you will have until the end of class today to finish these.

In class: Work in small groups to finish §7-6 #1-15. Dr. Bennett will help you over the hurdles.

If there is any time remaining, design an Euler's Method program for your calculator that will spit out all the intermediate values in the table. The outline of the program should look something like this:

1. Tell the user that the dy/dx expression is assumed to have already been stored in one of the function definitions (say, Y1).

2. Store 0 (zero) into i. (On the TI-83, this is 0
®I.)

3. Ask the user for an initial point (X0, Y0) and a step size, and store these values into calculator variables X, Y, and S, respectively. These variables will represent the xi and yi values at all times.

4. Display the current values of i, xi, yi, and dy/dx. The dy/dx value, of course, has to be computed by using function Y1.

5. After the user has viewed all of that (you can use a Pause statement so that the user has to press ENTER to continue), compute yi + 1. Use a variable (perhaps Z) to store this on the calculator and tell the user what the next y value is going to be.

6. Pause again. The user can either quit at this point (2nd QUIT) or press ENTER to continue. If the program is still running, then increase i by 1, store X + S into X, store Z into Y, and go back to step 4. You will need to consult your TI-83 manual to figure out how to do this, either with a "While 1=1" loop or by means of a Lbl and Goto.

Although everyone would benefit by writing an Euler's Method program, you may also wish to conduct testing and select the most accurate version to become a "class standard" that everyone could use. Whatever you do, though, don't simply download a program from the Web, since the process of writing the program will reinforce your understanding of Euler's Method.

 

Christmas Break

Review Chapters 1-7 and read the first two sections of Chapter 8. There is a practice midterm exam to help you focus your studying efforts..

 

 


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Last updated: 06 Jan 2003