
Ice Coverage in the Arctic Climate over time
17 Aug 2019  Contributor(s): Wisam Victor Yossif Bukaita, Kelcey Meaney, Angie Dimopulos
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

5002TPhasePortraitForRelationshipDynamics
15 Aug 2019  Modeling Scenarios  Contributor(s): Lawrence C Udeigwe
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....

5002SPhasePortraitForRelationshipDynamics
15 Aug 2019  Modeling Scenarios  Contributor(s): Lawrence C Udeigwe
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....

1068TWaterBottleCooling
14 Aug 2019  Modeling Scenarios  Contributor(s): Eli E Goldwyn
This modeling scenario involves Newton's Law of Cooling and should be appropriate in the first week or even the first day of an introductory differential equations course. The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a...

1068SWaterBottleCooling
14 Aug 2019  Modeling Scenarios  Contributor(s): Eli E Goldwyn
The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room. The goal is for the students to understand...

3150TItsABlastFurnace
13 Aug 2019  Modeling Scenarios  Contributor(s): Kurt Bryan
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

3150SItsABlastFurnace
13 Aug 2019  Modeling Scenarios  Contributor(s): Kurt Bryan
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

1076TClimateBifurcation
08 Aug 2019  Modeling Scenarios  Contributor(s): Mayer Humi
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...

1076SClimateBifurcation
08 Aug 2019  Modeling Scenarios  Contributor(s): Mayer Humi
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.

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...

9005TInvasiveSpeciesModel
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...

Moon and Mars Exploration
07 Aug 2019  General Resources  Contributor(s): Frank Wattenberg
Description to be provided by Dr. Frank Wattenberg, Department of Mathematical Sciences, United States Military Academy, West Point NY USA.Current materials can be found at the Moon and Mars Exploration web site.

3130TMatterOfSomeGravity
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...

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.

1001dTHotelPopulationDecay
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.

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.