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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. 3-105-S-FrequencyResponse

    22 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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.

  3. 3-034-T-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

  4. 3-034-T-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

  5. 3-034-S-CarSuspensions

    14 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

  6. 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.

  7. 3-027-S-BobbingDropping

    10 Jul 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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.

  8. 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...

  9. 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.

  10. 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.

  11. 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.

  12. 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...

  13. 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...

  14. 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...

  15. 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...

  16. 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:...

  17. 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....

  18. 2009-NoakeSleigh-AirflowInfectionHospitalWards

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    2009-NoakeSleigh-AirflowInfectionHospitalWardsNoakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791-S-800.Abstract: Understanding the risk of...

  19. 2015-Capaldi-SimulatingReiintroPassengerPidgeon

    26 Mar 2020 | Potential Scenario Ideas

    2015-Capaldi-SimulatingReiintroPassengerPidgeonBoggess, Erin, Jordan Collignon, and Alanna Riederer. 2015.  Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).Valparaiso University. Abstract: The...

  20. 2013-DeboeckEtAl-ReservoirModel-DEModelOfPsychRegulation

    22 Mar 2020 | Potential Scenario Ideas

    2013-DeboeckEtAl-ReservoirModel-DEModelOfPsychRegulationDeboeck, P. R., & Bergeman, C. S. (2013). The reservoir model: A differential equation model of psychological regulation. Psychological Methods, 18(2), 237-256.Abstract: Differential equation models can be used to describe the...

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