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...
2018-McCarthy, 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/newtonian-cooling/ .Active classroom scenario with step-by-step procedure, data, R code. Scenario: You have hot water (initial temperature ) in a container, say a cup....
2013-Evans, Michael - Growth and Decay. Calculus Module 13
22 Mar 2020 | | Contributor(s):: Brian Winkel
2013-Evans-GrowthDecay3e-EdServicesAustraliaEvans, 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...
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...
2018-Bauer, 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, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego...
2015-Endale, 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...
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
26 Aug 2017 | | Contributor(s):: Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
2011-Leinbach, 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): 765-774.Article Abstract: The estimate of the time since death and, thus, the time of death is strictly that, an...
05 Oct 2016 | | Contributor(s):: Brian Winkel
We model the cooling of a baked potato and compare it to student-collected data.
04 Oct 2016 | | Contributor(s):: Lisa Driskell, Audrey Malagon
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...