1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal
09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel
Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.
Abstract: Some of the results in the literature on simple...
LeakingBucket: Differential Equations in Engineering
03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Unknown
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.
From the Text:
7.1 Laboratory Objective
The objective of this laboratory is to learn about first...
03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Chris Rasmussen, Michael Keynes
Rasmussen, Chris and Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations. PRIMUS. 13(4): 308-320.
Abstract: The purpose of this...
26 Nov 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel
Strogatz, Steven H. 1988. Love Affairs and Differential Equations. Mathematics Magazine. 61(7): 35.
This is a system of differential equations to describe the love between...
2015-Easton-Mathematical models of health focusing on diabetes
11 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis, 186 pp. Northumbria University....
2013-Slavik-Mixing Problems with Many Tanks
10 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806-821.
Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...
09 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel
Introduction to Second Order Linear Equations- Bobbing Object in Water. 2 pp.
This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice...
Finio-Linear Non Linear Springs Tutorial
06 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel
Finio, Ben. Science Buddies – Linear & Nonlinear Springs Tutorial. ...
07 Apr 2017 | Modeling Scenarios | Contributor(s): Brian Winkel
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first...
Informed Conjecturing in a Modeling Context Differential Equations
29 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel
We examine two differential equations, (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning...
22 Apr 2016 | Modeling Scenarios | Contributor(s): Brian Winkel
24 Dec 2015 | Modeling Scenarios | Contributor(s): Eric Sullivan, Kelly Cline
Students use their knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant...
Traffic Flow Modeling Using Second Order Ordinary Differential Equations
22 Jun 2015 | Articles and Publications | Contributor(s): Mark McCartney
Mark McCartney.2004. Keep your distance! using second-order ordinary differential equations to model traffic flow. International Journal of Mathematical Education in Science and Technology. 35(4):...