A Three-Fold Approach to the Heat Equation: Data, Modeling, Numerics

Autor/inn/en	Spayd, Kimberly; Puckett, James
Titel	A Three-Fold Approach to the Heat Equation: Data, Modeling, Numerics
Quelle	In: PRIMUS, 26 (2016) 10, S.938-951 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2016.1212957
Schlagwörter	Mathematics Instruction; Equations (Mathematics); Heat; Teaching Methods; College Mathematics; Undergraduate Study; Thermodynamics; Mathematical Models; Science Laboratories; Physics; Pennsylvania + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Equations; Mathematics; Gleichungslehre; Hitze; Teaching method; Lehrmethode; Unterrichtsmethode; Grundstudium; Thermodynamik; Mathematical model; Mathematisches Modell; Physik
Abstract	This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course. We constructed the apparatus for a demonstration of heat diffusion through a long, thin metal rod with prescribed temperatures at each end. The students observed the physical phenomenon, collected temperature data along the rod, then referenced the demonstration for purposes in and out of the classroom. Here, we discuss the experimental setup, how the demonstration informed practices in the classroom and a project based on the collected data, including analytical and computational components. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01