09 Dec 2019 | | Contributor(s):: Terrance Pendleton
In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...
22 Aug 2018 | | Contributor(s):: Norman Loney
We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.
28 Aug 2017 | | Contributor(s):: Brian Winkel
Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis.
26 Aug 2017 | | Contributor(s):: Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
04 Oct 2016 | | Contributor(s):: Lisa Driskell, Audrey Malagon
1981-Berresford-Root Cellars and Differential Equations
25 Jun 2015 | | Contributor(s):: Geoffrey C. Berresford
Berresford, Geoffrey C. 1981. Differential Equations and Root Cellars. UMAP Unit 554. 23 pp. 23 pp. Available from http://www.comap.com. This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat...
2004DennyYackel Temperature Models for Ware Hall
25 Jun 2015 | | Contributor(s):: J. K. Denny, C. A. Yackel
Denny, J. K. and C. A. Yackel. 2004. Temperature Models for Ware Hall. The College Mathematic Journal. 35(3): 162-170.This paper offers some very nice extended models for cooling off a new office area for a mathematics department. The models are nicely explained and developed and they get...