Product ID: 99425

Supplementary Print

Undergraduate

The Three Dimensional Trapezoid Rule is a very simple ad reasonably accurate method which can be used to approximate the value of a double integral. The formula for it is a natural extension of the usual trapezoid rule in one variable. A variety of examples are provided in the module to compare the numerical results of the method with those obtained with the Riemann Sum approach and the iterated integral approach. A computer program written in BASIC is provided.**Table of Contents:1. INTRODUCTION2. THE TWO DIMENSIONAL CASE3. THE THREE DIMENSIONAL CASE4. FINDING A BETTER APPROXIMATING PLANE5. THE FORMULA AT LAST!6. EXAMPLE7. THE QUESTION OF CONVERGENCE8. A COMPUTER PROGRAM9. AN EXAMPLE USING SURFACE AREA10. AN EXAMPLE FROM PROBABILITY11. SAMPLE TEST12. REFERENCES13. ACKNOWLEDGMENT14. ANSWERS TO EXERCISES15. ANSWERS TO SAMPLE TEST**

©1982 by COMAP, Inc.

UMAP Module

23 pages

- Calculus

Familiarity with the one variable trapezoid rule, multiple integrals and the equation of a plane in space.

You must have a **Full Membership** to download this resource.

If you're already a member, **login here**.

Browse More Resources

Search

COMAP develops curriculum resources, professional development programs, and contest opportunities that are multidisciplinary, academically rigorous, and fun for educators and students. COMAP's educational philosophy is centered around mathematical modeling: using mathematical tools to explore real-world problems.

Policies