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  1. 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...

  2. 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.

  3. 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...

  4. 3-105-S-FrequencyResponse

    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.

  5. 3-034-T-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Therese Shelton, Brian Winkel

    In this modeling activity, students examine the spring-mass-dashpot 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...

  6. 3-034-S-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Therese Shelton, Brian Winkel

    We examine the spring-mass-dashpot 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.

  7. 3-027-S-BobbingDropping

    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.

  8. 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.

  9. 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 high-quality...

  10. 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.

  11. 1-088-S-RoomTemperature

    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...

  12. 1-136-S-MarriageAge

    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 first-order ordinary differential equations (which...

  13. 1-128-S-RocketFlight

    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.

  14. 1999-Deuflhard- DEInTechAndMedicine

    04 Jun 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    1999-Deuflhard- 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...

  15. 2020-Nguema-Numerical 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...

  16. 1-124-S-WorldPopulation

    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 x-y-S-Title-StudentVersion-Czech.

  17. 3-026-S-SpringInverseProblem

    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.

  18. 3-031-S-SpringCost

    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.

  19. 6-016-S-PandemicModeling

    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...

  20. 1-127-S-FishHarvesting-StudentVersion

    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).

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