
1111TSpreadOfInformation
02 Sep 2019  Modeling Scenarios
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential equation which can be compared to predicted data,...

1111SSpreadOfInformation
02 Sep 2019  Modeling Scenarios
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

1084TGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

1084SGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

3067SRLCSeriesCircuit
28 Apr 2019  Modeling Scenarios
In this validationoriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

3067TRLCSeriesCircuit
28 Apr 2019  Modeling Scenarios
In this validationoriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

1109TEmployeeAttrition
25 Mar 2019  Modeling Scenarios
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a firstorder linear decay model with two populations. This is intended for introductory students and is paired well with exponential growth/decay...

1125TDiceyPopulations
04 Mar 2019  Modeling Scenarios
We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

1125SDiceyPopulations
04 Mar 2019  Modeling Scenarios
We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

1077SRLMSimSeriesCircuit
03 Mar 2019  Modeling Scenarios
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared...

1077TRLMSimSeriesCircuit
03 Mar 2019  Modeling Scenarios
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared...

6070TBeerBubbles
24 Apr 2018  Modeling Scenarios
The goal of this project is to set up and numerically solve a firstorder nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top. The system solution is then used to verify...

2017Agmour EtAlOptimizationofFishermenProfitsExploitingCompetingSpecies
07 Mar 2018  Potential Scenario Ideas
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

Wandi Ding  Experience and Lessons Learned from Using SIMIODE Modeling Scenarios
19 Jan 2018  Presentations
Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at...

Bill Skerbitz  The Logic of Logistics
19 Jan 2018  Presentations
The Logic of LogisticsBy Bill Skerbitz, Wayzata High SchoolA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018

Mike Karls  Incorporating a Modeling First Approach into a Traditional ODE Course
18 Jan 2018  Presentations
Incorporating a Modeling First Approach into a Traditional ODE Course by Mike Karls. Ball State University.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913...

Dan Teague  Comparing Simulations with Solutions for Classical Differential Equation Models
18 Jan 2018  Presentations
Comparing Simulations with Solutions for Classical Differential Equation Models By Daniel J. Teague, North Carolina School of Science and Mathematics A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at...

2012BuschContinuousSimulationWithODEs
28 Nov 2017  Potential Scenario Ideas
Busch, Julian. 2012. Continuous simulation with ordinary differential equations. PowerPoint slides. 41 slides.This is a talk given with emphasis on differential equations and numerical methods leading to application for Nbody simulation. Keyword: differential equation, Nbody,...

2012KerckhoveMathematica Pop Dynamics Tutorial PDE
10 Sep 2017  Potential Scenario Ideas
Kerckhove, Michael. 2012. From Population Dynamics to Partial Differential Equations. The Mathematica Journal. 14: 118.Abstract: Differential equation models for population dynamics are now standard fare in singlevariable calculus. Building on these ordinary differential equation (ODE)...

2005WedenbergPharmacokinetics Paracetamol In Dogs
09 Sep 2017  Potential Scenario Ideas
Wedenberg, Minna. 2005. Pharmacokinetic modeling of gastric emptying and small intestinal transit time in dogs using paracetamol and sulfasalazine as markers. Master’s Degree Project. Uppsala Universitet. 41 pp.From the introductionThe development of new drug substances is a complex,...