
3105SFrequencyResponse
22 Jul 2020   Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

3034SCarSuspensions
14 Jul 2020   Contributor(s):: Therese Shelton, Brian Winkel
We examine the springmassdashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

2020Winkel, Brian  Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs
16 Jun 2020   Contributor(s):: Brian Winkel
We place here all the materials in support of the SIMIODE Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs. This Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a springmass using...

3026SSpringInverseProblem
29 May 2020   Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

3031SSpringCost
28 May 2020   Contributor(s):: Brian Winkel
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

6045SCholeraTranmission
19 Apr 2020   Contributor(s):: Urmi GhoshDastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

5010SMatrixExponential
12 Sep 2019   Contributor(s):: Kurt Bryan
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...

2011Wentworth, Corinne, Masami Fujiwara, and Jay Walton  Optimal harvesting models for fishery populations.
12 Sep 2017   Contributor(s):: Brian Winkel
Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011. Optimal harvesting models for fishery populations. REU paper. 17 pp.Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population...

2017Shi, Junping  Modeling Population Growth Single Species
12 Sep 2017   Contributor(s):: Brian Winkel
Shi, Junping. Modeling Population Growth Single Species. Activities Notes. 4 pp.This is a set of descriptions of various logistic models. Keywords: differential equation, model, harvest, Gompertz, Allee effect, constant harvest

5030STextLinNonHomoSystemSol
26 Aug 2016   Contributor(s):: Brian Winkel
We offer strategies for solving linear systems of nonhomogeneous differential equations of the form X'(t) = A X(t) + G(t) using a conjectured solution strategy for a system of constant coefficient, linear, nonhomogeneous, differential equations.

3030SSecondOrderIntro
22 Apr 2016   Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish.

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...

1031SCoolIt
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...