12 Jun 2022 | Teaching Materials | Contributor(s):
By Erich McAlister
Fort Lewis College, Durango CO USA
We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.
21 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...
We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal...
We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.
We are given data on a falling Styrofoam ball and we seek to model this motion.
20 May 2022 | Teaching Materials | Contributor(s):
We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and...
By Virgil Ganescu
York College of Pennsylvania, York PA USA
In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with...
19 May 2022 | Teaching Materials | Contributor(s):
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
18 May 2022 | Teaching Materials | Contributor(s):
By Jacob Duncan
we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation...
By Keith Landry, Brian Winkel1
Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a...
08 May 2022 | Teaching Materials | Contributor(s):
We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to...
07 May 2022 | Teaching Materials | Contributor(s):
We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and...
We model the fall of a piece of ice which is falling from a high building in New York City.
11 Sep 2018 | Teaching Materials | Contributor(s):
By Tony Weisstein1, John R Jungck2, Doug Green3
1. Truman State University 2. Interdisciplinary Science Learning Center at the University of Delaware 3. Saint Michael's College
These two workbooks model the evolution of phage resistance in a bacterial population under two alternative hypotheses.