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  1. differentialequations x
  2. differentialequation x
  3. stability x
  4. firstorder x
  5. parameterestimation x
  1. 1-119-S-DairyFarming

    20 Sep 2020 | Modeling Scenarios

    A simple first order population growth model is presented.  The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

  2. 1-119-S-DairyFarming

    20 Sep 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    A simple first order population growth model is presented.  The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

  3. 1-096-S-OpAmpDifferentiator

    09 Aug 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    In this validation-oriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

  4. 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.

  5. 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.

  6. 1-088-S-RoomTemperature

    15 Jun 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    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...

  7. 1-136-S-MarriageAge

    11 Jun 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    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...

  8. 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...

  9. 1-128-S-RocketFlight

    04 Jun 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

  10. 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.

  11. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    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.

  12. 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.

  13. 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.

  14. 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.

  15. 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...

  16. 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...

  17. 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...

  18. 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...

  19. 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...

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

    16 Apr 2020 | Presentations | Contributor(s): Jessica Libertini

    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...

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