## Tags: develop

### All Categories (1-20 of 47)

1. 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. 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. 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. 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. 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. 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. 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. 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. 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

...

https://www.simiode.org/events/details/48

11. 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. 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. 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. 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. 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. 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...

https://www.simiode.org/blog/2015/12/modeling-scenario-material-coming-in-from-summer-workshops

17. 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

18. 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. 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. 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...