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Topic: numerical algorithms
Replies: 1   Last Post: Feb 24, 1996 6:23 PM

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Bruce E. Simmons

Posts: 3
Registered: 12/6/04
numerical algorithms
Posted: Feb 24, 1996 2:23 PM
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I am in complete agreement that technology renders a number of previously
core topics irrelevant, but I would not put Simpson's rule on this list.

The following is a question I included on my most recent AB Calculus test
illustrating the importance of numerical integration methods. Most
calculus curriculums (including the AP exam) ignore the application of
calculus to discrete numerical data. Paul Foerster's calculus book (Key
Curriculum Press) does an outstanding job of incorporating numerical work
within an AP curriculum.

3. The following table lists the estimated rate of increase in the
European-extraction population of Pennsylvania from 1700 to 1740.

Year Rate (people/yr)
1700 470
1710 930
1720 1550
1730 2340
1740 3320

a. Estimate the increase in the European-extraction population of
Pennsylvania from 1700 to 1740 using the Trapezoid method.
b. Find a new estimate using Simpson's Rule.
c. Which answer is more reliable? Why?

Bruce E. Simmons
St. Stephen's Episcopal School
P.O. Box 1868
Austin, TX 78767
w (512) 327-1213 vmail 6054
h (512) 328-4489

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