
3043SBallisticModelingSpongeDart
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...

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...

6065SInternetPlatformUsers
30 Oct 2018  Modeling Scenarios  Contributor(s):: Victoria Rayskin
A model estimating the volume of users interacting through a twosided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

6011S  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...

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"...

6010SSocialCampaigns
23 Sep 2018  Modeling Scenarios  Contributor(s):: Hyunsun Lee
Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The SusceptibleInfectedRecovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...

6024SDronePackageDelivery
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...

6019SEnablingEpidemicExploration
17 Sep 2018  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer several strategies for estimating parameters in models of epidemics, one using a MichaelisMenten saturation infected rate.

1062SBacterialGrowth
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...

6006TZombieGameHvZ
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 nonlinear differential equations to model the HvZ game. Standard SIR and SIRS models are introduced to guide students as they set up the...

6006SZombieGameHvZ
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 nonlinear differential equations to model the HvZ game. Many alternate rule sets provide options to formulate different models. Students solve...

2015ZhangEtAlPredator 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 PredatorPrey Dynamical Models. Biometrics 71: 131–138Abstract: We consider model selection and estimation in a context where...

2008YangEtAlA Differential Equation Model of HIV Infection of CD TCells 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 TCells with DelayAbstract: An epidemic model of HIV infection of CD4+ Tcells with cure rate and delay is studied. We include a baseline ODE version of the model, and a...

1053SSlimeSpread
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.

6003SSchoolFluEpidemic
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.

1141SM&MGameRevisited
27 Aug 2018  Modeling Scenarios  Contributor(s):: Mehdi HakimHashemi
In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

1108SPoissonProcess
27 Aug 2018  Modeling Scenarios  Contributor(s):: Mehdi HakimHashemi
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.

1015TextSDimensionlessVariables
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...

1118SSolowEconomicGrowth
22 Aug 2018  Modeling Scenarios  Contributor(s):: Yuri Yatsenko

7040STankInterruptMixing
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.