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numerical algorithms
Posted:
Feb 24, 1996 2:23 PM


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 Europeanextraction 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 Europeanextraction 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) 3271213 vmail 6054 h (512) 3284489



