
1114SEarthClimate
09 Dec 2019   Contributor(s):: Terrance Pendleton
In this modeling scenario, we investigate the Earth's climate using a zerodimensional 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...

7020SThermometerInVaryingTempStream
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.

1071SNewtonWatsonTimeOfDeath
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.

1043SCoolingUpAndDown
26 Aug 2017   Contributor(s):: Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

1110SSnailsInaTidePool
04 Oct 2016   Contributor(s):: Lisa Driskell, Audrey Malagon

1981BerresfordRoot 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): 162170.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...