Tags: develop

All Categories (1-20 of 47)

  1. 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....

  2. 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.

  3. 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.

  4. 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.

  5. 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...

  6. 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.

  7. 2003-Givens, Ryan and O. F. de Alcantara Bonfima - Direct observation of normal modes in coupled oscillators.

    13 Mar 2020 | | Contributor(s):: Brian Winkel

    Givens, Ryan and O. F. de Alcantara Bonfima. 2003. Direct observation of normal modes in coupled oscillators.  From  Physics Commons. See  https://pilotscholars.up.edu/phy_facpubs/6/. Abstract: We propose a simple and inexpensive method to directly...

  8. 2005-Hirst, H. P. - Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling

    12 Mar 2020 | | Contributor(s):: Brian Winkel

    Hirst, H. P. 2005. Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling. In From Calculus to Computers: Using the last 200 years of mathematics history in the classroom. Washington DC: Mathematical Association of America. 7 pp. 

  9. 1-054-S-GrowthInFarmland

    14 Aug 2018 | | Contributor(s):: Richard Spindler

    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

  10. Jul 15 2018

    DEMARC -- Differential Equations Model And Resource Creators Workshop, 15-21 July 2018, ManhattanCollege, Riverdale NY USA



  11. 1-058-S-WaterClocks

    26 Nov 2016 | | Contributor(s):: Sania Qureshi, Brian Winkel

    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...

  12. 1-044-S-CollegeBound

    31 Jul 2016 | | Contributor(s):: Brian Winkel

    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.

  13. 1-033-S-SouthernBarbeque

    22 Jun 2016 | | Contributor(s):: Troy Henderson

    We offer raw data collected from two thermometers used in the smoking process of Southern barbecue.  One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat.  This data can be used to model and predict the amount...

  14. 1-041-S-AirToTop

    19 May 2016 | | Contributor(s):: John Thomas Sieben

    Divers, especially novice divers, have concerns about running out of breathing air while at depth.  One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using...

  15. 1-029-S-ConeToCubeFlow

    02 Mar 2016 | | Contributor(s):: Sania Qureshi

    We consider a configuration of two containers. An inverted right circular cone with a hole in point at the bottom  is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we wish to model the water flow from cone to cube and...

  16. Modeling Scenario material coming in from summer workshops

    13 Dec 2015 | Posted by Brian Winkel

    We are beginning to realize the great wealth of terrific materials which will be forthcoming from our one-week Developer Workshops held during the summer of 2015, one at Carroll College, Helena MT...


  17. Zim Olson

    Zim Olson's Story, Bio, Background and Video "Story Project" by Rocky Mountain PBS.   https://youtu.be/C5W8hsg-_lY


  18. 1-011A-S-Kinetics

    06 Jun 2015 | | Contributor(s):: Karen Bliss

     Adapted from 1-11-Kinetics, SIMIODE modeling scenario.  We help students see the connection between college level chemistry course work and their differential equations coursework.  We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and...

  19. 1-027-S-StochasticProcesses

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.  We work to build our model of random events which...

  20. 1-026-S-Evaporation

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We  ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...