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  1. differentialequations x
  1. 2008-Will-Hansen-ExamplesOfODEsInPhysics

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Witt-Hansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

  2. 2004-PhoebusReily-TheParachuteProblem

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    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...

  3. 1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 17-28.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...

  4. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  5. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios | Contributor(s): Darrell Weldon Pepper

    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.

  6. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios | Contributor(s): Mehdi Hakim-Hashemi

    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.

  7. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

  8. Kaabar, Mohammed-2018-A Friendly Introduction to Differential Equations

    29 Jul 2018 | Free Online Texts | Contributor(s): Mohammed K A Kaabar

    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...

  9. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios | Contributor(s): Ryan Miller, Randy Boucher

    Students will transform, solve, and interpret a tumor growth scenario using non-linear 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...

  10. 6-018-S-ExploringSIRModel

    30 May 2018 | Modeling Scenarios | Contributor(s): Stanley Florkowski, Ryan Miller

    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...

  11. 2017-Rumbos-DifferentialEquaitonsANDModeling-LectureNotes

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Adolfo J. Rumbos

    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...

  12. 2015-Sivakumar-Rajendran-KineticModel-BananaWaste

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Pavithra Sivakumar, Lakshmanan Rajendran

    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): 7-14.Abstract: The initial value problem in a kinetic model for biogas generation from...

  13. Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers

    03 Mar 2018 | Free Online Texts | Contributor(s): Russell L. Herman

    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 self-published text book with excellent coverage and solid mathematics and theory to support...

  14. 2007-Bellomo EtAl-LectureNotes-MathModelingInAppliedScience

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Nicola Bellomo

    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...

  15. Hohenauer-Physical modelling based on first order ODEs

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): W. Hohenauer

    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....

  16. Modeling the Opioid Epidemic in the United States

    19 Jan 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel, Bill Skerbitz

    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...

  17. Yagodich, Winkel, Skerbitz, Harwood - Panel - Experience with Engaging in Modeling in a Differential

    19 Jan 2018 | Presentations | Contributor(s): Brian Winkel, Dina Yagodich, Richard Corban Harwood, Bill Skerbitz

    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...

  18. Rasmussen , C., K. Keene, J. Dunmye, and N. Fortune. 2017. Inquiry-Oriented Differential Equations.

    05 Jan 2018 | Free Online Texts | Contributor(s): Brian Winkel

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

  19. 2007-Friis-Jensen-ModelingAndSimulationOfGlucose-InsulinMetabolism

    01 Dec 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Friis-Jensen, Esben. 2007. Modeling and Simulation of Glucose-Insulin 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...

  20. 2008-HuangLi-ModelingLongTermLongitudinalHIVDynamics

    01 Dec 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Huangi, Y. and T. Lu. 2008. Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study.  The Annals of Applied Sciences.  2(4): 1384-1408.Abstract:  A virologic marker, the number of HIV RNA copies or viral load, is currently used to evaluate...