
Numerical Simulation of Ebola Outbreak
01 Aug 2020
The Ebola virus disease is a serious infectious disease with the highest mortality rate that is considered as one of the most contagious diseases. Our goal is to construct a mathematical model to devise the optimal Ebola outbreak simulation, and through a numerical simulation predict the behavior...

Panel and Q&A Presentation on Remote Teaching Modules
28 Jul 2020  Contributor(s): SIMIODE Leadership Team
This PowerPoint is for the Panel and Q&A Presentation on Remote Teaching Modules to be held at 4 PM Eastern US Time on Thursday, 13 August 2020. This is with reference to materials found at https://www.simiode.org/modules.

Modeling Guide and Resources for Student and Coach
25 Jul 2020  Contributor(s): William Clark, Anthony Stefan
This is a Modeling Guide for SCUDEM V 2020 and a set of Useful Resources prepared by Anthony Stefan, Florida Institute of Technology, Melbourne FL USA and William Clark, Dixie State University, St. George UT USA serving as Science Gateway Community Institute and SIMIODE Summer 2020...

3105SFrequencyResponse
22 Jul 2020  Modeling Scenarios  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.

3034TCarSuspensions
14 Jul 2020  Modeling Scenarios  Contributor(s): Therese Shelton, Brian Winkel
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

3034SCarSuspensions
14 Jul 2020  Modeling Scenarios  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.

3027SBobbingDropping
10 Jul 2020  Modeling Scenarios  Contributor(s): Brian Winkel
We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

Laplace One Liner
04 Jul 2020  General Resources  Contributor(s): Brian Winkel
We offer a short Mathematica file in which we demonstrate the step by step commands for solving a second order, linear, constant coefficient, ordinary differential equation using Laplace Transforms and then we condense the entire set of instructions into one line of code  hence the name one liner.

How to Set Up and Use Overleaf: A Free Online LaTeX Compiler
29 Jun 2020  General Resources  Contributor(s): Anthony Stefan
How to Set Up and Use Overleaf: A Free Online LaTeX CompilerAnthony Stefan, Mathematics, Florida Institute of Technology, Melbourne FL USAScience Gateway Community Institute and SIMIODE Summer 2020 Intern29 June 2020LaTeX is a document preparation system for highquality...

SCUDEM Judging Rubric
19 Jun 2020  General Resources  Contributor(s): Brian Winkel
SCUDEM  SIMIODE Challenge Using Differential Equation Modeling is an annual event for student teams around the globe.We post here the Judges Rubric used to score student submissions.

1088SRoomTemperature
15 Jun 2020  Modeling Scenarios  Contributor(s): Tracy Weyand
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

1136SMarriageAge
11 Jun 2020  Modeling Scenarios  Contributor(s): Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are firstorder ordinary differential equations (which...

1128SRocketFlight
04 Jun 2020  Modeling Scenarios  Contributor(s): Brian Winkel
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

1999Deuflhard DEInTechAndMedicine
04 Jun 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
1999Deuflhard DEInTechAndMedicine1999. Deuflhard. Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs. CIME Lectures. 63 pagesAbstract: This series of lectures has been given to a class of mathematics postdocs at a European...

2020NguemaNumerical Simulation of Ebola Outbreak
01 Jun 2020  Presentations  Contributor(s): Arati Nanda Pati
Spring 2020: Capstone Project Juan Ndong Nguema University of St. Thomas Houston, TX 77006 Advisor: Dr. Arati Nanda Pati The Ebola virus disease is a serious infectious disease with the highest mortality rate that is considered as one of the most contagious diseases. Our goal is to...

1124SWorldPopulation
30 May 2020  Modeling Scenarios  Contributor(s): Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

3026SSpringInverseProblem
29 May 2020  Modeling Scenarios  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  Modeling Scenarios  Contributor(s): Brian Winkel
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

6016SPandemicModeling
13 May 2020  Modeling Scenarios  Contributor(s): Jue Wang
The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. The virus is spreading rapidly. Infectious disease modeling is an essential part of the effort to minimize the spread and help predict the likely course of an epidemic. How can we use...

1127SFishHarvestingStudentVersion
06 May 2020  Modeling Scenarios  Contributor(s): Will Mitchell
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).