
2013Rihan, Fathalla A.  Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis
01 Apr 2020  Contributor(s):: Brian Winkel
Rihan, Fathalla A. 2013. Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis. Proceedings of the 2013 International Conference on Applied Mathematics and Computational Methods. pp....

1015TextSDimensionlessVariables
25 Aug 2018   Contributor(s):: Kurt Bryan
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the introduction of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's, and yet is not often taught in an...

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.

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...

1090SEmptySphericalTank
12 Nov 2016   Contributor(s):: Brian Winkel

2014Groetsch, C. W. and S. A. Yost  Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne.
20 Jun 2015   Contributor(s):: C. W. Groetsch, S. A. Yost
Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne. The American Mathematical Monthly. 21(6): 499505.Article Abstract: This article, inspired by a 17thcentury woodcut, validates empirical observations of...

1994Gruszka, T.  A Balloon Experiment in the Classroom
20 Jun 2015   Contributor(s):: T. Gruszka
Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442444.See https://www.tandfonline.com/doi/abs/10.1080/07468342.1994.11973649 .We quote from the article,“The following experiment involves a balloon, a stopwatch, and a...

7005STextLaplaceTransformOverview
06 Jun 2015   Contributor(s):: Brian Winkel
The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here. This is done in a Mathematica notebook with pdf provided.

1013SSleuthing
03 Jun 2015   Contributor(s):: Brian Winkel
We present several situations in which differential equation models serve to aid in sleuthing and general investigations. One involves initial speed given information about constant deceleration and distance to stop in traffic incident; one involves modeling a steel ball launched vertically and...

1045STimeOfDeath
02 Jun 2015   Contributor(s):: Brian Winkel
Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.