
3015SStyrofoamBallFall
24 Mar 2020   Contributor(s):: Brian Winkel
We are given data on a falling Styrofoam ball and we seek to model this motion.

2011CasaXPSMechanics Applications DEs
20 Mar 2020   Contributor(s):: Brian Winkel
2011CasaXPSMechanics Applications DEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com. See https://www.simiode.org/resources/7150/download/2011CasaXPSMechanics_ApplicationsDEs.pdf . Table of ContentsVariable Forces...

2012Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation.
20 Mar 2020   Contributor(s):: Brian Winkel
Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation. 17 slides. Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.

2012Sharma, P. K.  Transient State Analysis of a damped & forced oscillator.
13 Mar 2020   Contributor(s):: Brian Winkel
Sharma, P. K. 2012. Transient State Analysis of a damped & forced oscillator. International Journal of Computers Electrical and Advanced Communications Engineering. 1(2):190196.Abstract: This paper deals with the behaviour of an oscillator in its initial stage of oscillation. How...

4055SShatterWineGlass
20 Aug 2018   Contributor(s):: Jue Wang
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...

2008Lipsman, R. L., J. E. Osborn, and J. M. Rosenberg  The SCHOL Project at the University of Maryland: Using Mathematical Software in the Teaching of Sophomore Differential Equations.
08 Sep 2017   Contributor(s):: Brian Winkel
Lipsman, R. L., J. E. Osborn, and J. M. Rosenberg. 2008. The SCHOL Project at the University of Maryland: Using Mathematical Software in the Teaching of Sophomore Differential Equations. Journal of Numerical Analysis, Industrial and Applied Mathematics. 3(12): 81103.This is a publication of...

1050SBargingAhead
10 Feb 2016   Contributor(s):: Timothy Pennings
As captain of a barge, you need to determine how fast to transportyour barge up river against the current in order to minimize the expended energy.Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if...

3013SWhiffleBallFall
30 May 2015   Contributor(s):: Brian Winkel
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our models.