ERIC Number: ED218110
Record Type: RIE
Publication Date: 1980
Reference Count: 0
Evaluating Definite Integrals on a Computer Theory and Practice. Applications of Numerical Analysis. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Unit 432.
This document explores two methods of obtaining numbers that are approximations of certain definite integrals. The methods covered are the Trapezoidal Rule and Romberg's method. Since the formulas used involve considerable calculation, a computer is normally used. Some of the problems and pitfalls of computer implementation, such as roundoff error, are discussed. A sample computer program in BASIC is provided, and computer graphs are provided to illustrate the expected error range. Exercises, a model exam, and references are included, with answer keys provided for both the text problems and the sample test. (MP)
Publication Type: Guides - Classroom - Learner
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Education Development Center, Inc., Newton, MA.
Identifiers: BASIC Programing Language; Integration (Mathematics); Numerical Analysis