
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.

2008LiDE Models For Interacting and Transgenic Mosquito Populations
21 Jun 2019  Potential Scenario Ideas  Contributor(s):: Jai Li
Article Review and AnnotationLi, Jai. 2008. Differential equations models for interacting wild and transgenic mosquito populations. Journal of Biological Dynamics. 2(3): 241258.Abstract: We formulate and study continuoustime models, based on systems of ordinary differential...

2014HuangODE Model Application in Prediction Control Population
21 Jun 2019  Potential Scenario Ideas  Contributor(s):: X. M. Huang
Article Review and Annotation2014HuangODE Model Application in Prediction Control PopulationHuang X. M. 2014. Ordinary Differential Equation Model and its Application in the Prediction Control of Population. Applied Mechanics and Materials. 631632: 714717.Abstract: Ordinary...

Exploring differential equation of HIV infection
21 Jun 2019  Presentations  Contributor(s):: Rebecca L. Goulson
Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.

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...

SCUDEM and COMAP MCM/ICM Talk at University of Nebraska  Lincoln
22 Apr 2019  CompetitionsSCUDEM  Contributor(s):: Elizabeth Anne Carlson
Elizabeth Carlson, holder of NSF Graduate Research Fellowship at the University of Nebraska  Lincoln, Lincoln NE USA, gave a talk in the spring 2018 to the mathematics club at her school on Math Modeling Competitions. Enjoy!

1060TextSRegularPerturbation
21 Apr 2019  Technique Narratives  Contributor(s):: Mark A. Lau
This Technique Narrative presents an introduction to a set of analytical approximations referred to as regular perturbation.This is a particular mathematical tool within the broader set of perturbation methods. In general, perturbation methods are analytical techniques for obtaining...

MathBowl from SCUDEM  SIMIODE Challenge Using Differential Equations
21 Apr 2019  CompetitionsSCUDEM  Contributor(s):: Brian Winkel
We offer complete materials on MathBowl event which is student activity held during annual SCUDEM  SIMIODE Challenge Using Differential Equations event. All materials can be found under black box "Download" above and to the right with Click on "Additional materials...

SCUDEM I, II, and III Problems and Additional Problems Materials
03 Apr 2019  General Resources  Contributor(s):: Brian Winkel
SCUDEM – SIMIODE Challenge Using Differential Equation ModelingProblems and Additional Issue forSCUDEM I (October 2017), SCUDEM II (April 2018), and SCUDEM III (October 2018) See SCUDEM home page for details of SCUDEM IV 2019, 9 November 2019.General InformationFor each SCUDEM event...

1005TextSNavigatingNumericalMethods
31 Mar 2019  Technique Narratives  Contributor(s):: Corban Harwood
This technique narrative guides a discoverybased approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor method. These methods are motivated by...

2019 Matthew Donahue MAA OklahomaArkansas Section Presentation  Tulsa's Next Top Model
31 Mar 2019  Presentations  Contributor(s):: Matthew Donahue
Matthew Donahue, of The University of Tulsa, gave a talk, "Tulsa's Next Top Model," at the 30 March 2019, Spring MAA OklahomaArkansas Section Meeting about hosting the forthcoming SCUDEM IV 2019 event on 9 November 2019 at his school. Several faculty asked about how the...

7011TextSCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s):: Mitaxi Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

5090SSolidParticleErosion
27 Mar 2019  Modeling Scenarios  Contributor(s):: Rich 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...

5005TextSStiffDifferentialEquations
05 Mar 2019  Technique Narratives  Contributor(s):: Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

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...