Predicting the Health of a Natural Water System

Graves, Gregory H.

doi:10.1080/10511970903551575

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2016

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“…Incorporating data and/or numerical experiments in classroom examples of mathematical models is a popular way to motivate student interest and learning. See [1,3,4,6,7] as a small sample. Moreover, students can gain insight into the application, intuition for the mathematical analysis and confirmation of the theoretical results by using real data and numerical simulations to complement the theory [2].…”

Section: Introductionmentioning

confidence: 99%

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

Spayd¹,

Puckett

2016

PRIMUS

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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.

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