
1088SRoomTemperature
15 Jun 2020   Contributor(s):: Tracy Weyand
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

2018McCarthy, C.  Newton's Law of Cooling.
01 Apr 2020   Contributor(s):: Brian Winkel
McCarthy, C. 2018. Newton’s Law of Cooling.See https://mccarthymat501.commons.gc.cuny.edu/newtoniancooling/ .Active classroom scenario with stepbystep procedure, data, R code. Scenario: You have hot water (initial temperature ) in a container, say a cup....

2013Evans, Michael  Growth and Decay. Calculus Module 13
22 Mar 2020   Contributor(s):: Brian Winkel
2013EvansGrowthDecay3eEdServicesAustraliaEvans, Michael. 2013. Growth and Decay. Calculus Module 13. Supporting Australian Mathematics Project. Education Services Australia: South Victoria AUSTRALIASee https://www.amsi.org.au/ESA_Senior_Years/PDF/GrowthDecay3e.pdf...

1068SWaterBottleCooling
14 Aug 2019   Contributor(s):: Eli E Goldwyn
The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room. The goal is for the students to understand...

2018Bauer, Jessica and Eric Sullivan  Brewing the Perfect Cup of Tea with Differential Equations
18 Jan 2018   Contributor(s):: Eric Sullivan, Jesica A Bauer
Brewing the Perfect Cup of Tea with Differential EquationsBy Jesica Bauer and Eric Sullivan, Carroll CollegeA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego...

2015Endale, Mersha Amdie  Some application of first order differential equations to real world system. Masters Thesis.
26 Nov 2017   Contributor(s):: Brian Winkel
Endale, Mersha Amdie. 2015. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the...

1115SModelingWithFirstOrderODEs
04 Sep 2017   Contributor(s):: Michael Grayling
Several models using first order differential equations are offered with some questions on formulating a differential equations model

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.

2011Leinbach, Carl  Beyond Newton's law of cooling – estimation of time since death
02 Mar 2017   Contributor(s):: Brian Winkel
Leinbach, Carl. 2011. Beyond Newton’s law of cooling – estimation of time since death. International Journal of Mathematical Education in Science and Technology. 42(6): 765774.Article Abstract: The estimate of the time since death and, thus, the time of death is strictly that, an...

1061SPotatoCooling
05 Oct 2016   Contributor(s):: Brian Winkel
We model the cooling of a baked potato and compare it to studentcollected data.

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

1031SCoolIt
02 Jun 2015   Contributor(s):: Brian Winkel
We offer data on the temperature of water in a beaker which resides in a room of constant temperature and also in an environment of nonconstant temperature. Students are encouraged to consider both empirical and analytic modeling approaches. We offer additional data sets in Excel spreadsheets...