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  1. Remote Teaching Module - Car Suspensions

    28 Jul 2020 | General Resources | 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 installed....

  2. Remote Teaching Module - Car Suspensions

    28 Jul 2020 | General Resources | 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 installed....

  3. 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.

  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-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...

  6. 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.

  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. 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.

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

    16 Jun 2020 | General Resources | 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...

  10. 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...

  11. 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...

  12. Remote Teaching Module - Modeling a Falling Column of Water

    07 Jun 2020 | General Resources

    {xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudem-accordion.css"}We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Falling Column of Water.This module...

  13. 1-128-S-RocketFlight

    04 Jun 2020 | Modeling Scenarios

    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.

  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. 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.

  16. 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...

  17. 2006-ChaachouaSaglam-ModelingByDifferentialEquations

    04 Apr 2020 | Potential Scenario Ideas

    2006-ChaachouaSaglam-ModelingByDifferentialEquationsChaachoua, Hamid and Ayse Saglam. 2006. Modelling by differential equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 25(1): 15–22.Abstract: This paper aims to show the close relation...

  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. 2003-Bohren-FallingBodies - DimensionalAnalysis

    13 Mar 2020 | Potential Scenario Ideas

    2003-Bohren-FallingBodies - DimensionalAnalysisBohren, Craig F. 2003. Dimensional analysis, falling bodies, and the fine art of not solving differential equations. Am. J. Physics. 72(4): 534-537.Abstract: Dimensional analysis is a simple, physically transparent and intuitive...

  20. 9-020-S-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...