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  1. SCUDEM III 2018 MathBowl Questions, Hints, Answers, and Score Sheets

    29 Nov 2018 | General Resources | Contributor(s):: Brian Winkel

    Here are the SCUDEM III 2018 MathBowl questions, hints, answers, and score sheets.    These materials are in the Supporting Docs Tab.We include PowerPoint and PDF files. We also include instructions and hints to use.There are three files:(1) SCUDEM III 2018  Math Bowl  -...

  2. SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALS

    23 Nov 2018 | General Resources | Contributor(s):: Brian Winkel

    SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALSIn addition to Problems and Team Submissions (see Supplemental Docs Tab) you can see MathBowl materials and Faculty Development Workshop materials used on Challenge Saturday, 27 October 2018. Just click on the title you want above. Faculty...

  3. 3-043-S-BallisticModeling-SpongeDart

    20 Nov 2018 | Modeling Scenarios | Contributor(s):: Jean Marie Linhart, Peter Howard

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

  4. Secrets of the Mathematical Contest in Modeling

    13 Nov 2018 | Articles and Publications | Contributor(s):: Kelly Cline

    Published in 2009, Dr. Kelly Cline, Carroll College, Helena MT USA, discusses his evolving personal strategy for modeling competitions from young student participant to mature faculty coach. Dr. Cline gives many practical hints and "secrets," all based on thoughtful reflection from his...

  5. 6-065-S-InternetPlatformUsers

    30 Oct 2018 | Modeling Scenarios | Contributor(s):: Victoria Rayskin

    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

  6. 6-011-S - HumansVsZombies

    25 Oct 2018 | Modeling Scenarios | Contributor(s):: Hope McIlwain

    In this activity, students will analyze the SIR differential equations model in the context of a zombie invasion of a human population. First the students will analyze a two equation system representing only two populations, humans and zombies. Then a new population, the recovered zombies, will...

  7. SCUDEM III 2018 Problems

    18 Oct 2018 | General Resources | Contributor(s):: SCUDEM III 2018

    Here are the problems used in SCUDEM III 2018 with release time at one minute past midnight on 19 October 2018. There are three problems and one document which serves as a reference document for one of the problems.You can gain access to all these files under the "Supporting Docs"...

  8. 6-010-S-SocialCampaigns

    23 Sep 2018 | Modeling Scenarios | Contributor(s):: Hyunsun Lee

    Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...

  9. 6-024-S-DronePackageDelivery

    18 Sep 2018 | Modeling Scenarios | Contributor(s):: Eric Stachura, Robert Krueger

    In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the analytical...

  10. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  11. 1-062-S-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios | Contributor(s):: Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

  12. 6-006-T-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios | Contributor(s):: Jue Wang

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game. Standard SIR and SIRS models are introduced to guide students as they set up the...

  13. 6-006-S-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios | Contributor(s):: Jue Wang

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game. Many alternate rule sets provide options to formulate different models. Students solve...

  14. 2015-ZhangEtAl-Predator Prey Models

    02 Sep 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Article Review and AnnotationZhang, Xinyu Jiguo Cao,  and Raymond J. Carroll. 2015On the Selection of Ordinary Differential Equation Models with Application to Predator-Prey Dynamical Models. Biometrics 71: 131–138Abstract: We consider model selection and estimation in a context where...

  15. 2008-YangEtAl-A Differential Equation Model of HIV Infection of CD T-Cells with Delay

    02 Sep 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Yang, Junyuan , Xiaoyan Wang, and Fengqin Zhang. 2008. A Differential Equation Model of HIV Infection of CD T-Cells with DelayAbstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a...

  16. 1-053-S-SlimeSpread

    30 Aug 2018 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

  17. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios | Contributor(s):: Darrell Weldon Pepper

    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

  18. 1-141-S-M&MGameRevisited

    27 Aug 2018 | Modeling Scenarios | Contributor(s):: Mehdi Hakim-Hashemi

    In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

  19. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios | Contributor(s):: Mehdi Hakim-Hashemi

    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

  20. 1-015-Text-S-DimensionlessVariables

    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...