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.

Autor/in	Wagon, Stanley
Institution	Education Development Center, Inc., Newton, MA.
Titel	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.
Quelle	(1980), (42 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Leitfaden; Unterricht; Lernender; Answer Keys; Calculus; College Mathematics; Computer Programs; Educational Technology; Higher Education; Instructional Materials; Learning Modules; Mathematical Applications; Problem Solving; Supplementary Reading Materials; Tests; Textbooks + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Lösungshilfe; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Computer program; Computer programme; Computerprogramm; Unterrichtsmedien; Hochschulbildung; Hochschulsystem; Hochschulwesen; Lehrmaterial; Lehrmittel; Learning module; Lernmodul; Angewandte Mathematik; Innermathematische Anwendung; Problemlösen; Reading materials; Lesekartei; Examination; Prüfung; Examen; Textbook; Text book; Schulbuch; Lehrbuch
Abstract	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)
Erfasst von	ERIC (Education Resources Information Center), Washington, DC