Integration by Hyperbolic Substitution

Autor/in	Price, David
Titel	Integration by Hyperbolic Substitution
Quelle	In: MathAMATYC Educator, 3 (2012) 2, S.14-16 (3 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1947-279X
Schlagwörter	Calculus; Educational Strategies; Learning Strategies; Teaching Methods; Creative Activities; Mathematical Applications; Mathematical Concepts; Mathematical Models; Mathematical Formulas + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Lehrstrategie; Learning methode; Learning techniques; Lernmethode; Lernstrategie; Teaching method; Lehrmethode; Unterrichtsmethode; Angewandte Mathematik; Innermathematische Anwendung; Mathematical model; Mathematisches Modell; Mathematische Formel
Abstract	Mathematics teachers constantly encourage their students to think independently. The study of integration in calculus provides an excellent opportunity to encourage inventive investigation. In contrast to differentiation, which is predominately mechanical, integration is a more creative process. One such possibility is offered by the study of the hyperbolic functions. After learning the trigonometric substitution technique of integration, students occasionally ask if the same integrals can be calculated by means of hyperbolic identities. Developing this approach provides an instructor with a variety of ways to enrich a second-semester calculus class. (ERIC).
Anmerkungen	American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: amatyc@amatyc.org; Web site: http://www.amatyc.org
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10