
1084TGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

1084SGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

5002TPhasePortraitForRelationshipDynamics
15 Aug 2019  Modeling Scenarios  Contributor(s): Brian Winkel
The different possible dynamics of a twoperson romantic relationship are modeled  as a linear two dimensional system of equations  and analyzed. Students are guided to explore how the mathematical model of one relationship type can be obtained by modifying the mathematical model of another....

1076TClimateBifurcation
08 Aug 2019  Modeling Scenarios
In this paper we present (for educational purposes) simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations from the present Earth climate to an ice age or a ``Venus type of climate.'' The models are accompanied by Matlab...

SCUDEM and COMAP MCM/ICM Talk at University of Nebraska  Lincoln
22 Apr 2019  CompetitionsSCUDEM
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!

7011TextTCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s): Brian Winkel
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...

7011TextSCoupledSystemLaplace
31 Mar 2019  Technique Narratives  Contributor(s): Brian Winkel
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...

AMS Special Session on Using Modeling to Motivate the Study of Differential Equations  JMM 2019, Baltimore MD USA
20 Jan 2019  Presentations
We offer the presentation for AMS Special Session on Using Modeling to Motivate the Study of Differential Equations, I in Room 336, BCC, 19 January 2019, 8:00 AM 11:50 AM held at the Joint Mathematics Meetings 2019, Baltimore MD USAAs we assemble them the presentations are...

2015YrogovchenkoModelingAlcoholConsumption  PowerPoint
16 Dec 2018  Potential Scenario Ideas
Article Review and AnnotationRagovchenko, Yuriy. 2015. Dull, dizzy, or dead: Models of Alcohol Consumption in Undergraduate Teaching. Presented in Brno NORWAY. 7 December 201. Power Point Presentation.This PowerPoint presentation has lots of basic data on laws, levels of alcohol, and...

3009TBallDropInWater
16 Dec 2018  Modeling Scenarios
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.

1063TThreeHoleColumn
15 Dec 2018  Modeling Scenarios
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.

2017Bonin EtAl  Math Modeling Based on ODE for Vaccinology
09 Dec 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel
Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...

2004PhoebusReilyTheParachuteProblem
09 Dec 2018  Potential Scenario Ideas
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem...

1987RodinMurthyComparativeEvalOfMathModelingBooks
09 Dec 2018  Potential Scenario Ideas
Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 1728.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives...

Secrets of the Mathematical Contest in Modeling
13 Nov 2018  Articles and Publications
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...

6024TDronePackageDelivery
18 Sep 2018  Modeling Scenarios  Contributor(s): Brian Winkel
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 first order differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the...

6024SDronePackageDelivery
18 Sep 2018  Modeling Scenarios  Contributor(s): Brian Winkel
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...

6006TZombieGameHvZ
09 Sep 2018  Modeling Scenarios  Contributor(s): Brian Winkel
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...

6003TSchoolFluEpidemic
28 Aug 2018  Modeling Scenarios  Contributor(s): Brian Winkel
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.

6003SSchoolFluEpidemic
28 Aug 2018  Modeling Scenarios  Contributor(s): Brian Winkel
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.