
9005SInvasiveSpeciesModel
08 Aug 2019  Modeling Scenarios  Contributor(s):: Eric Stachura
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion. Students will explore various Mathematica modules...

3130SMatterOfSomeGravity
07 Aug 2019  Modeling Scenarios  Contributor(s):: Kurt Bryan
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation. The theme of the project is that one often has a physical model for a system but in which the model contains unknown parameters or...

5025SSaltCompatments
19 Jul 2019  Modeling Scenarios  Contributor(s):: Brian Winkel
Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.

1001dSHotelPopulationDecay
03 Jul 2019  Modeling Scenarios  Contributor(s):: Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios  Contributor(s):: Dina Yagodich
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

3067SRLCSeriesCircuit
28 Apr 2019  Modeling Scenarios  Contributor(s):: Virgil Ganescu
In this validationoriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

1107SClothDry
27 Apr 2019  Modeling Scenarios  Contributor(s):: Brian Winkel
We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

5090SSolidParticleErosion
27 Mar 2019  Modeling Scenarios  Contributor(s):: Richard R Laverty
By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface. Examination of the solution will yield a formula for the...

1109SEmployeeAttrition
25 Mar 2019  Modeling Scenarios  Contributor(s):: Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

1125SDiceyPopulations
04 Mar 2019  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

1077SRLMSimSeriesCircuit
03 Mar 2019  Modeling Scenarios  Contributor(s):: Virgil Ganescu
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared to...

1143SPopulationModelVariationsMATLAB
17 Feb 2019  Modeling Scenarios  Contributor(s):: Bill Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

3009SBallDropInWater
16 Dec 2018  Modeling Scenarios  Contributor(s):: Brian Winkel
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

1063SThreeHoleColumn
15 Dec 2018  Modeling Scenarios  Contributor(s):: Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

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...

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...

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 system...

6024SDronePackageDelivery
18 Sep 2018  Modeling Scenarios  Contributor(s):: Eric Stachura, Rob 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.