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  1. 6-003-S-SchoolFluEpidemic

    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.

  2. 1-108-S-PoissonProcess

    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.

  3. 1-032-S-DigoxinElimination

    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 ``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...

  4. Kaabar, Mohammed-2018-A 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...

  5. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios

    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...

  6. 6-018-S-ExploringSIRModel

    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...

  7. 2017-Rumbos-DifferentialEquaitonsANDModeling-LectureNotes

    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...

  8. 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...

  9. 2015-Sivakumar-Rajendran-KineticModel-BananaWaste

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

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

  11. 2007-Bellomo EtAl-LectureNotes-MathModelingInAppliedScience

    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...

  12. Hohenauer-Physical 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....

  13. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    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): 308-320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

  14. 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...

  15. 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...

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

    05 Jan 2018 | Free Online Texts

    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...

  17. 2007-Friis-Jensen-ModelingAndSimulationOfGlucose-InsulinMetabolism

    01 Dec 2017 | Potential Scenario Ideas

    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...

  18. 2008-HuangLi-ModelingLongTermLongitudinalHIVDynamics

    01 Dec 2017 | Potential Scenario Ideas

    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...

  19. 2012-Levermore-OrdinaryDifferentialEquations-Graphical MethodsApplications

    01 Dec 2017 | Potential Scenario Ideas

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations: Graphical Methods6.1....

  20. 2015-DiosEtAl-HowEngineersDealWithMathematicsSolvingDifferentialEquations

    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...

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