
2017BallardDice Activities for DE Models
20 Mar 2020
2017BallardDice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a realworld scenario. Each can be used either...

2016RodriguezApplicationOfSIRModel
20 Mar 2020
2016RodriguezApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 9297. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...

2016ChernMathModelingODE
20 Mar 2020
2016ChernMathModelingODEChern, ILiang. 2016. MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS. Department of Mathematics, National Taiwan University. Notes. 223 pp.Table of Contents:1 FirstOrder Single Differential Equations 11.1 What is mathematical...

2004ThoumasisMathDietModel
20 Mar 2020
2004ThoumasisMathDietModelToumasis, Charalampos. 2004. A mathematical diet model. Teaching Mathematics and Its Applications: International Journal of the IMA. 23(4) 165  171. Preprint offered.Abstract:Emphasis on problem solving and mathematical modeling has...

2012EhrkeSecondOrderEquationsThreeCases
20 Mar 2020
2012EhrkeSecondOrderEquationsThreeCasesEhrke, John. 2012. Second Order Equations, Three Cases. Presentation 17 slides.Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.

2011WinkelParameterEstimationChemical Kinetics
16 Mar 2020
2011WinkelParameterEstimationChemical KineticsWinkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 3751.Abstract: We discuss the need for devoting time in...

2010SinghModelingTechnologyInnovations
16 Mar 2020
2010SinghModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177183.Abstract: In this paper we have proposed a simple mathematical model by using...

2020Stepien, Kostelich, Kuang. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review.
27 Feb 2020  Potential Scenario Ideas
Stepien, Kostelich, Kuang. 2020. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review. 62(1): 244263. This is an amazing article in support of a unique approach to an applied mathematics course based on the relationship between mathematics and cancer. We...

JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations
20 Jan 2020  Presentations
Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM  11:00 AM Room 704, Meeting Room...

JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses
20 Jan 2020  Presentations
We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

2005TextSLinearizeItAll
09 Dec 2019  Technique Narratives
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

1092SDashItAll
01 Sep 2019  Modeling Scenarios  Contributor(s): Jessica Libertini
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic HillKeller model for a...

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...

9015SUnearthingTruth
28 Aug 2019  Modeling Scenarios
This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications
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...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications  Contributor(s): Jessica Libertini
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...

3150SItsABlastFurnace
13 Aug 2019  Modeling Scenarios
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...

1001dSHotelPopulationDecay
03 Jul 2019  Modeling Scenarios
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): Jessica Libertini
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
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...