
3076SCircuitBuilding
27 Jul 2021   Contributor(s):: Chiu Choi
In this project students will establish a mathematical model for an electric circuit as a secondorder ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closedform solution...

Engineering Design Optimization using Calculus Level Methods: A Casebook Approach (Manual)
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20 Mar 2021 
Posted by Phil B Brubaker
https://www.simiode.org/members/5865/collections/calculuslevelprogramminglanguageandapps

Phil B Brubaker
My HistoryI attended Oregon State U. and majored 3 years in Electrical Engineering. Then I switched to a Math major for my final years and graduated with a B.S. in Math (1967). Developed...
https://www.simiode.org/members/5865

SIMIODE EXPO 2021  B1R2  Solving the Rocket Equation with Mathematica and Kerbal Space Program
02 Mar 2021   Contributor(s):: Christopher Scott Vaughen
SIMIODE EXPO 2021  B1R2  Solving the Rocket Equation with Mathematica and Kerbal Space Program (B1R2) Student Activities  Sources, engagement, level, management Christopher Scott Vaughen, Montgomery County Community College, Blue Bell PA USAAbstract: In this...

SIMIODE EXPO 2021  B5R1  Leszek Gawarecki  Adventures in the "Islands"  Enhancing Student Engagement in Teaching Statistics
23 Feb 2021   Contributor(s):: Leszek Gawarecki
SIMIODE EXPO 2021  B5R1  Leszek Gawarecki  Adventures in the "Islands"  Enhancing Student Engagement in Teaching StatisticsLeszek Gawarecki, Kettering University, Flint MI USAThis was a presentation made at the SIMIODE EXPO 2021 ...

SIMIODE EXPO 2021  B4R3  Simulation Modeling Project in Advanced Mathematical Modeling Course
21 Feb 2021   Contributor(s):: Rikki Bryanna Wagstrom
SIMIODE EXPO 2021  B4R3  Rikki Wagstrom  Simulation Modeling Project in Advanced Mathematical Modeling CourseRikki Wagstrom, Metropolitan State University, Saint Paul MN USAThis was a presentation made at the SIMIODE EXPO 2021  see program.Abstract: This presentation...

James D Cordeiro
https://www.simiode.org/members/5080

1096SOpAmpDifferentiator
09 Aug 2020   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

2019Hu,Yueqin and Raymond Treinen  A onestep method for modelling longitudinal data with differential equations.
06 Apr 2020   Contributor(s):: Brian Winkel
Hu,Yueqin and Raymond Treinen. 2019. A onestep method for modelling longitudinal data with differential equations. British Journal of Mathematical and Statistical Psychology. 72: 38–60See https://bpspsychub.onlinelibrary.wiley.com/doi/abs/10.1111/bmsp.12135...

2018Reed, Hanna  Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis.
24 Mar 2020   Contributor(s):: Brian Winkel
Reed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis. 38 pp.ABSTRACT: The intent of this thesis is to develop ordinary differential equation models to better understand the mosquito population. We first develop a framework model, where...

2017Ballard, Floyd  Dice Activities for DE Models
20 Mar 2020   Contributor(s):: Brian Winkel
2017Ballard, Floyd  Dice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a realworld scenario. Each can be...

2006MacWilliams, Matt  Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter
15 Mar 2020   Contributor(s):: Brian Winkel
MacWilliams, Matt. 2006. Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter. The Review: A Journal of Undergraduate Student Research. 8(8): 3342.See https://fisherpub.sjfc.edu/ur/vol8/iss1/8/ .Abstract: Since George Box's...

1111SSpreadOfInformation
02 Sep 2019   Contributor(s):: Jeff Pettit
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...

1084SGoingViral
31 Aug 2019   Contributor(s):: Bill Skerbitz
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   Contributor(s):: Virgil Ganescu
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).

1125SDiceyPopulations
04 Mar 2019   Contributor(s):: Brian Winkel
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   Contributor(s):: Virgil Ganescu
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 to...

2017Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni  Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
07 Mar 2018   Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
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...

Great Comments on Modeling Scenario Offered in Comments Tab of Modeling Scenario
10 Feb 2018 
Posted by Brian Winkel
Bill Kerbitz, from Wayzata High School in Plymouth MN, recently commented on a Modeling Scenario, 1001ATMandMDeathAndImmigration, What is most interesting is what Bill found as...
https://www.simiode.org/blog/2018/02/greatcommentsonmodelingscenarioofferedincommentstabofmodelingscenario

2018Ding, Wandi  Experience and Lessons Learned from Using SIMIODE Modeling Scenarios
19 Jan 2018   Contributor(s):: Wandi Ding
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...