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  1. 3-105-S-FrequencyResponse

    22 Jul 2020 | Modeling Scenarios

    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

  2. 3-027-S-BobbingDropping

    10 Jul 2020 | Modeling Scenarios

    We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

  3. 1-136-S-MarriageAge

    11 Jun 2020 | Modeling Scenarios

    Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are first-order ordinary differential equations (which...

  4. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios

    We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

  5. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios

    We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

  6. 3-026-S-SpringInverseProblem

    29 May 2020 | Modeling Scenarios

    We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

  7. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios

    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...

  8. 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...

  9. Transient and Steady State response in RC or RL circuits

    16 Apr 2020 | Presentations

    Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

  10. 2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystem

    04 Apr 2020 | Potential Scenario Ideas

    2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2):  185-206Abstract: In this...

  11. 2018-GreerLivesay-Mathematical Epidemiology Goes to College

    01 Apr 2020 | Potential Scenario Ideas

    2018-GreerLivesay-Mathematical Epidemiology Goes to CollegeGreer, Meredith  and Ella Livesay. 2018. Mathematical Epidemiology Goes to College. Math Horizons. 25(3):  8-11.From Introduction:Every year waves of illnesses sweep through college campuses. This seems a...

  12. 1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitats

    01 Apr 2020 | Potential Scenario Ideas

    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....

  13. 2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma Effects

    01 Apr 2020 | Potential Scenario Ideas

    2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM.  IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

  14. 2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma Effects

    01 Apr 2020 | Potential Scenario Ideas

    2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM.  IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

  15. 2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamics

    01 Apr 2020 | Potential Scenario Ideas

    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...

  16. 2007-RamseyEtAl-ParameterEstforDE-SmoothingApproach

    01 Apr 2020 | Potential Scenario Ideas

    2007-RamseyEtAl-ParameterEstforDE-SmoothingApproachJ. R. Statist. Soc. B (2007)69, Part 5, pp. 741–796Ramsay, J. O.. G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc....

  17. 2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiology

    29 Mar 2020 | Potential Scenario Ideas

    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,...

  18. 2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavenger

    29 Mar 2020 | Potential Scenario Ideas

    2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra Predator-Prey Model with a PredatingAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and its prey....

  19. 2015-Audestad-SomeDynamicMarketModels

    26 Mar 2020 | Potential Scenario Ideas

    2015-Audestad-SomeDynamicMarketModelsAudestad, Jan A. 2015. Some Dynamic Market Models. Norwegian University of Science and Technology, Gjøvik University College. SMall Text. 49 pp.ABSTRACT:In this text, we study the behavior of markets using models expressible as...

  20. 2018-Baxter-Modeling Public Opinion

    26 Mar 2020 | Potential Scenario Ideas

    2018-Baxter-Modeling Public OpinionBaxter, Arden. 2018.  Modeling Public Opinion. Rollins College.1 IntroductionPopulation models are used to study the dynamics of a population. In particular, dynamic population models are applied to populations that gain and lose...

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