
2020Shelton, Therese  Remote Teaching Module  Car Suspensions
28 Jul 2020   Contributor(s):: Therese Shelton
In this modeling activity, students examine the springmassdashpot 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....

3105SFrequencyResponse
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.

3034SCarSuspensions
14 Jul 2020   Contributor(s):: Therese Shelton, Brian Winkel
We examine the springmassdashpot 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.

3027SBobbingDropping
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.

2020Winkel, 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/scudemaccordion.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...

3031SSpringCost
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.

2003Givens, 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...

2005Hirst, H. P.  Using the Historical Development of PredatorPrey Models to Teach Mathematical Modeling
12 Mar 2020   Contributor(s):: Brian Winkel
Hirst, H. P. 2005. Using the Historical Development of PredatorPrey 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.

1054SGrowthInFarmland
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...

Jul 15 2018
DEMARC  Differential Equations Model And Resource Creators Workshop, 1521 July 2018, ManhattanCollege, Riverdale NY USA
...
https://www.simiode.org/events/details/48

1058SWaterClocks
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...

1044SCollegeBound
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.

1033SSouthernBarbeque
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...

1041SAirToTop
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...

1029SConeToCubeFlow
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 opentopped 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...

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 oneweek Developer Workshops held during the summer of 2015, one at Carroll College, Helena MT...
https://www.simiode.org/blog/2015/12/modelingscenariomaterialcominginfromsummerworkshops

Zim Olson
Zim Olson's Story, Bio, Background and Video "Story Project" by Rocky Mountain PBS. https://youtu.be/C5W8hsg_lY
https://www.simiode.org/members/1243

1011ASKinetics
06 Jun 2015   Contributor(s):: Karen Bliss
Adapted from 111Kinetics, 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...

1027SStochasticProcesses
04 Jun 2015   Contributor(s):: Brian Winkel
We build the infinite set of first order differential equations for modeling a stochastic process, the socalled 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...

1026SEvaporation
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...