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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)

Details

1007399
ERIC Subject
Answer Keys;
Calculus;
College Mathematics;
Computer Programs;
Educational Technology;
Higher Education;
Instructional Materials;
Learning Modules;
Mathematical Applications;
Problem Solving;
Supplementary Reading Materials;
Tests;
Textbooks
Sponsor
National Science Foundation, Washington, DC.
Title
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
Author
Wagon, Stanley
Corporate/institutional author
Education Development Center, Inc., Newton, MA.
Publication title
ERIC, Resources in Education (RIE)
Pages
42
Number of pages
42
Publication date
1980
Source type
Encyclopedia or Reference Work
Summary language
English
Language of publication
English
Document type
Instructional Material/Guideline
Number of references
-1
Subfile
ERIC, Resources in Education (RIE)
Accession number
ED218110
ProQuest document ID
63543134
Document URL
https://www.proquest.com/encyclopedias-reference-works/evaluating-definite-integrals-on-computer-theory/docview/63543134/se-2?accountid=208611
Last updated
2024-04-20
Database
Education Research Index