Tags: ordinary

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  1. 6-029-S-TumorGrowth

    04 Aug 2021 | | Contributor(s):: Allison Leigh Lewis

    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time. Students should have prior experience with solving ODEs using the separable...

  2. Engineering Design Optimization using Calculus Level Methods: A Casebook Approach (Manual)

    Collections | 20 Mar 2021 | Posted by Phil B Brubaker

    https://www.simiode.org/members/5865/collections/calculus-level-programming-language-and-apps

  3. Phil B Brubaker

    My History----------I attended Oregon State U. and majored 3 years in Electrical Engineering. Then I switched to a Math major for my final years and graduated with a B.S. in Math (1967). Developed...

    https://www.simiode.org/members/5865

  4. Mohammad Golchian

    https://www.simiode.org/members/5667

  5. Sushil Kumar

    I am Associate professor of mathematics at S. V. National Institute of Technology Surat-India

    https://www.simiode.org/members/5565

  6. 2020-Shelton, Therese - Remote Teaching Module - Car Suspensions

    28 Jul 2020 | | Contributor(s):: Therese Shelton

    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....

  7. 3-105-S-FrequencyResponse

    22 Jul 2020 | | Contributor(s):: Brian Winkel

    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.

  8. 3-034-S-CarSuspensions

    14 Jul 2020 | | Contributor(s):: Therese Shelton, Brian Winkel

    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.

  9. 3-027-S-BobbingDropping

    10 Jul 2020 | | Contributor(s):: Brian Winkel

    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.

  10. 2020-Winkel, Brian - Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs

    16 Jun 2020 | | Contributor(s):: Brian Winkel

    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...

  11. 1-088-S-RoomTemperature

    15 Jun 2020 | | Contributor(s):: Tracy Weyand

    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...

  12. 1-136-S-MarriageAge

    11 Jun 2020 | | Contributor(s):: Tracy Weyand

    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...

  13. 2020-Winkel, Brian - Remote Teaching Module - Modeling the Spread of Oil Slick

    10 Jun 2020 | | Contributor(s):: Brian Winkel

    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...

  14. 2020-Winkel, Brian - Remote Teaching Module - Modeling a Falling Column of Water

    07 Jun 2020 | | Contributor(s):: Brian Winkel

    {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...

  15. 1-128-S-RocketFlight

    04 Jun 2020 | | Contributor(s):: Brian Winkel

    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.

  16. 3-026-S-SpringInverseProblem

    29 May 2020 | | Contributor(s):: Brian Winkel

    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.

  17. 3-031-S-SpringCost

    28 May 2020 | | Contributor(s):: Brian Winkel

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

  18. 5-010-S-DNADegradation

    21 Apr 2020 | | 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...

  19. 2016-Bonin, Carla Rezende Barbosa, Guilherme Cortes Fernandes,  Rodrigo Weber dos Santos, and Marcelo Loboscoa - Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology.

    04 Apr 2020 | | Contributor(s):: Brian Winkel

    Bonin, Carla Rezende Barbosa, Guilherme Cortes Fernandes,  Rodrigo Weber dos Santos, and Marcelo Loboscoa. 2016. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology.  Hum Vaccin Immunother. 13(2):...

  20. 5-010-S-MatrixExponential

    12 Sep 2019 | | Contributor(s):: Kurt Bryan

    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...