
2009Bifurcation Analysis
12 Sep 2017  Contributor(s):: Brian Winkel
2009. Bifurcation Analysis – One Dimensional ODEs. Notes. 11 pp.This document contains many rich illustrations of various kinds of bifurcation in the context of applications. E.g. harvesting, magnetometer, spruce budworm,Kywords: differential equation, model, bifurcation, analysis,...

2014MerwinPDEModelingWatrFlowInFlorida
09 Sep 2017  Contributor(s):: Brian Winkel
Merwin, Katelyn. 2014. Analysis of a Partial Differential Equation and Real World Applications Regarding Water Flow in the State of Florida. Thesis. EmbryRiddle Aeronautical University. McNair Scholars Research Journal. Vol. 1, Article 8. Available at: http://commons.erau.edu/mcnair/vol1/iss1/8...

2009ReidKingPendulumMotion
08 Sep 2017  Contributor(s):: Brian Winkel
Reid, Thomas F. and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205217,Abstract: A common example of realworld motion that can be modeled by a differential equation, and one easily...

2002FayThePendulumEquation
08 Sep 2017  Contributor(s):: Brian Winkel
Fay, T. 2001.The Pendulum Equation. Int. J. Math. Educ. Sci. Technology. 33(4): 505519.Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it. On the one hand, we suggest that the third and fifthorder Taylor series...

Successful modeling motivation for beam equations
04 Mar 2017   Contributor(s):: Tiernan R Fogarty
This talk was presented at the AMS Special Session on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This presentation illustrates a successful empirical modeling activity for several beam configurations with...

1021SFeralCatControl
24 Jan 2016   Contributor(s):: Rachel Bayless, Nathan Pennington
This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...

1967WagnerComputers in pharmacokinetics
20 Jun 2015   Contributor(s):: J. G. Wagner
Wagner, J. G. 1967. Computers in pharmacokinetics. Clinical Pharmacology and Therapeutics. 8(1)Part 2: 201218. This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a...

1026SEvaporation
04 Jun 2015   Contributor(s):: Brian Winkel
We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...

1005ASOilSlick
30 May 2015   Contributor(s):: Karen Bliss

1005SOilSlick
30 May 2015   Contributor(s):: Brian Winkel
We describe a modeling activity for students in which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...