
6003SSchoolFluEpidemic
28 Aug 2018  Modeling Scenarios
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.

1108SPoissonProcess
27 Aug 2018  Modeling Scenarios
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

1032SDigoxinElimination
17 Aug 2018  Modeling Scenarios
We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

Kaabar, Mohammed2018A Friendly Introduction to Differential Equations
29 Jul 2018  Free Online Texts
In this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In...

1081STumorGrowth
09 Jun 2018  Modeling Scenarios
Students will transform, solve, and interpret a tumor growth scenario using nonlinear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

6018SExploringSIRModel
30 May 2018  Modeling Scenarios
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting SIR...

2017RumbosDifferentialEquaitonsANDModelingLectureNotes
03 Mar 2018  Potential Scenario Ideas
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...

LeakingBucket: Differential Equations in Engineering
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Karen Bliss
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

2015SivakumarRajendranKineticModelBananaWaste
03 Mar 2018  Potential Scenario Ideas
Sivakumar, Pavithra and Lakshmanan Rajendran. 2012. Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 714.Abstract: The initial value problem in a kinetic model for biogas generation from...

Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018  Free Online Texts
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a selfpublished text book with excellent coverage and solid mathematics and theory to support...

2007Bellomo EtAlLectureNotesMathModelingInAppliedScience
03 Mar 2018  Potential Scenario Ideas
Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007. Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...

HohenauerPhysical modelling based on first order ODEs
03 Mar 2018  Potential Scenario Ideas
Hohenauer, W. Physical modelling based on first order ODEs. Notes. 22 pp.http://www.phox.at/upload/Physical%20modelling%20based%20on%20first%20order%20ODEs%20(v1.3).pdf . Accessed 3 March 2018.Abstract: An introduction in techniques to solve first order ODE´s is given....

2003RasmussenKeynesLinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Karen Bliss
Rasmussen, Chris and Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations. PRIMUS. 13(4): 308320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

Modeling the Opioid Epidemic in the United States
19 Jan 2018  Potential Scenario Ideas
Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West, Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

Yagodich, Winkel, Skerbitz, Harwood  Panel  Experience with Engaging in Modeling in a Differential
19 Jan 2018  Presentations
Panel  Experience with Engaging in Modeling in a DifferentialBy Dina Yagodich, Frederick Community Colllege; Brian Winkel, SIMIODE; Bill Skerbitz, Wayzata High School; Corban Harwood, George Fox University.A panelgiven at the AMS Special Session on Modeling in Differential Equations...

Rasmussen , C., K. Keene, J. Dunmye, and N. Fortune. 2017. InquiryOriented Differential Equations.
05 Jan 2018  Free Online Texts
Authors: Rasmussen , C., K. Keene, J. Dunmye, and N. Fortune.Date of Publication: 20i7.Title: InquiryOriented Differential Equations.Location: https://iode.wordpress.ncsu.eduAccessed 5 January 2018.This online text with both Student version and Teacher version (for the...

2007FriisJensenModelingAndSimulationOfGlucoseInsulinMetabolism
01 Dec 2017  Potential Scenario Ideas
FriisJensen, Esben. 2007. Modeling and Simulation of GlucoseInsulin Metabolism. B. Sc. Thesis. 124 pp.Abstract: Diabetes is a widespread disease in the western world today. Many researchers are working on methods for diagnosing and treating diabetes. A tool used for this is mathematical...

2008HuangLiModelingLongTermLongitudinalHIVDynamics
01 Dec 2017  Potential Scenario Ideas
Huangi, Y. and T. Lu. 2008. Modeling longterm longitudinal HIV dynamics with applications to an AIDS clinical study. The Annals of Applied Sciences. 2(4): 13841408.Abstract: A virologic marker, the number of HIV RNA copies or viral load, is currently used to evaluate...

2012LevermoreOrdinaryDifferentialEquationsGraphical MethodsApplications
01 Dec 2017  Potential Scenario Ideas
Levermore. David. 21012. FirstOrder Ordinary Differential Equations II: Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. FirstOrder Equations: General Theory5.1. WellPosed Problems 25.2. Existence and Uniqueness 36. FirstOrder Equations: Graphical Methods6.1....

2015DiosEtAlHowEngineersDealWithMathematicsSolvingDifferentialEquations
28 Nov 2017  Potential Scenario Ideas
Dios, Araceli Queiruga. Ascensión Hernández Encinas, Jesús Martín Vaquero, Ángel Martín del Rey, Juan José Bullón Pérez, and Gerardo Rodríguez Sánchez. 2015. How Engineers deal with Mathematics solving Differential...