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1. 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...

2. 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"...

3. 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...

4. 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...

5. 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.

6. 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...

7. 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...

8. 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...

9. 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...

10. 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...

11. 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.

12. 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.

13. 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.

14. 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.

15. 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...

16. 22 Aug 2018 | Modeling Scenarios | Contributor(s):: Yuri Yatsenko

17. 22 Aug 2018 | Modeling Scenarios | Contributor(s):: Norman Loney

We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

18. 22 Aug 2018 | Modeling Scenarios | Contributor(s):: Norman Loney

We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

19. 20 Aug 2018 | Modeling Scenarios | Contributor(s):: Jue Wang

Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a mathematical model. Students engage in pre-clinical studies to examine local drug delivery to the cochlea....

20. 20 Aug 2018 | Modeling Scenarios | Contributor(s):: Jue Wang

This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...