
1009STextBifurcation
31 May 2015  Technique Narratives  Contributor(s): Edward Swim

1010SLSDAndProblemSolving
02 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We ask students to build differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature. We offer students the opportunity to build a model to fully analyze the administration and absorption of LSD in 8 student volunteers. We also...

1010TextSAtmosphericCO2Bifurcation
12 Jan 2020  Technique Narratives  Contributor(s): Jakob Kotas
Students are introduced to the concept of a bifurcation in a firstorder ordinary differential equation through a modeling scenario involving atmospheric carbon dioxide. Carbon dioxide is taken as a parameter and temperature is a function of time.

1011SKinetics
03 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We offer many opportunities to model these chemical reactions with data, some of which comes from...

1011ASKinetics
06 Jun 2015  Modeling Scenarios  Contributor(s): Karen Bliss

1012SSublimationCarbonDioxide
03 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1013SSleuthing
03 Jun 2015  Modeling Scenarios  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...

1014SDrainingContainers
17 Mar 2017  Modeling Scenarios  Contributor(s): Brian Winkel
We examine the question, ``Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?''

1015STorricelli
03 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel
We model the height of a falling column of water in a right circular cylinder (radius = 4.17 cm) emptying through a small hole on the side of the cylinder. Indeed, in all the videos below where are referred to in this Modeling Scenario the cylinder is a 2 liter soda pop...

1015TextSDimensionlessVariables
25 Aug 2018  Technique Narratives  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...

1016SDogDrugs
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1017SDiseaseSpread
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1017aSDiseaseSpread
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1018SLogisticPopGrowth
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1019SRocksInTheHead
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1020SIceMelt
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1021SFeralCatControl
24 Jan 2016  Modeling Scenarios  Contributor(s): Rachel Bayless, Nathan Pennington

1022SSpreadOfTechnology
27 Nov 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1023SRumorSpread
04 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1024SMalariaControl
06 May 2016  Modeling Scenarios  Contributor(s): David Culver