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  1. Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs

    16 Jun 2020 | Contributor(s): Karen Bliss

    We place here all the materials in support of the SIMIODE Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs. This  Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a spring-mass using...

  2. 1-088-S-RoomTemperature

    15 Jun 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

  3. Remote Teaching Module - Modeling the Spread of Oil Slick

    10 Jun 2020 | General Resources | Contributor(s): Karen Bliss

    We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Spread of Oil Slick.This module contains1)  (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

  4. 3-031-S-SpringCost

    28 May 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

  5. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

  6. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios | Contributor(s): Brian Winkel

    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

  7. 6-045-S-CholeraTranmission

    19 Apr 2020 | Modeling Scenarios

    A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

  8. 6-045-S-CholeraTranmission

    19 Apr 2020 | Modeling Scenarios | Contributor(s): Brian Winkel

    A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

  9. 2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquations

    06 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquationsElishakoff, Isaac. 2019.   Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22 SynopsisIn this paper, simple ordinary differential...

  10. 2018-WeberEtAl-SensitivityAnalysisOfODEModels

    06 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-WeberEtAl-SensitivityAnalysisOfODEModelsWeber, Frank, Stefan Theers, Dirk Surmann, Uwe Ligges, and Claus Weihs. 2018. Sensitivity Analysis of Ordinary Differential Equation Models.IntroductionThe goal of sensitivity analysis is to examine how sensitive a mathematical model...

  11. 2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasis

    06 Apr 2020 | Potential Scenario Ideas

    2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasisWrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica. 2015. How We Teach: Classroom And Laboratory Research Projects -- Two-compartment model as a teaching tool for cholesterol homeostasis. Adv...

  12. 2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDE

    05 Apr 2020 | Potential Scenario Ideas

    2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...

  13. 2012-Obenb-DentehEtAl-ModelingStudentAffinityForLecture

    05 Apr 2020 | Potential Scenario Ideas

    2012-Obenb-DentehEtAl-ModelingStudentAffinityForLectureObeng-Denteh1, W., Odum Kodua-Nana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University...

  14. 2009-Marten-ODEsForStudyingEpilepsyDynamics

    04 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2009-Marten-ODEsForStudyingEpilepsyDynamicsMarten, Frank, Serafim Rodrigues, Piotr Suffczynski, Mark P. Richardson, and John R. Terry. 2009. Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics. Phys. Rev. E 79,...

  15. 2019-Koss-SIR Models_ Differential Equations that Support the Common Good

    02 Apr 2020 | Potential Scenario Ideas

    2019-Koss-SIR Models_ Differential Equations that Support the Common GoodKoss, Lorelei. 2019. SIR Models: Differential Equations that Support the Common Good.  CODEE Journal. 12 (2019): Article 6. https://scholarship.claremont.edu/codee/vol12/iss1/6/ .12 pages.Abstract: This...

  16. 2016-BarbarossaKuttler-MathModelOfBacteriaCommunication

    01 Apr 2020 | Potential Scenario Ideas

    2016-BarbarossaKuttler-MathModelOfBacteriaCommunicationBarbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 1-17.Abstract: Quorum sensing is a bacterial cell-to-cell communication mechanism...

  17. 2018-BlomhojEtAl-CompartmentModels

    01 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-BlomhojEtAl-CompartmentModelsM. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.    Chapter 1 - Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical...

  18. 1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitats

    01 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR.  SIAM J....

  19. 2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamics

    01 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamicsChoisy, M., J.-F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases Dynamics.From Introduction: After presenting general notions of mathematical modeling (Section 22.2) and the nature of...

  20. 2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiology

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...

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