
1145SFastPitch
23 Jan 2022   Contributor(s):: Erich McAlister
Pitch velocity is one of the most fascinating statistics in baseball, as documented in the 2015 documentary Fastball. Modern measurements of pitch velocity are taken as the maximum velocity achieved at any point between the pitcher's hand and home plate. However, the velocity of the ball...

1142SWaterBottles
22 Aug 2021   Contributor(s):: Brody Dylan Johnson, Elodie Pozzi
This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version. The modeling scenario leads the students through an...

1097SSwimmingPool
08 Aug 2021   Contributor(s):: Barbara ZubikKowal
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods. On the analytical side, students will solve one of the model equations, describing the first stage of a...

6029STumorGrowth
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...

1150SCancerTherapy
03 Aug 2021   Contributor(s):: Maila Hallare, Iordanka Panayotova
This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.Activities will help students appreciate the importance of...

1119SDairyFarming
20 Sep 2020   Contributor(s):: Rob Krueger
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

9002SGroundWaterFlow
31 Aug 2020   Contributor(s):: Jeremy Cristman, Kenneth Luther, Michael Karls
The goals of this project are to compare a conceptual onedimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences. We derive the initial groundwater flow equation, and guide students through a solution. We describe the laboratory set up and...

2020Tiffany, Patrice Geary  Remote Teaching Module  Separation of Variables
21 Jul 2020   Contributor(s):: Patrice Geary Tiffany
This module uses the scenario: Ebola Outbreak in West Africa to introduce and apply the technique of separation of variables. The students first have a warm up to give them background on the scenario, they review topics they need to know for the module, they start the...

1136SMarriageAge
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 firstorder ordinary differential equations (which...

2020Winkel, 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...

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...

1128SRocketFlight
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.

1111SSpreadOfInformation
02 Sep 2019   Contributor(s):: Jeff Pettit
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

1001dSHotelPopulationDecay
03 Jul 2019   Contributor(s):: Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

2018Schneebeli,Hans R.  Modeling Falling Bodies
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli
Modelling falling bodies is discussed using a computer algebra systemcalculator and introducing various traditional and elementary methods from calculus as well as numerics for dealing with the resulting ordinary differential equations.This article is in German under the title,...

2009Mallett, Travis and Josh Fetbrandt  Differential Equations Class Notes.
11 Sep 2017   Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

2009EdelsteinKeshet, Leah  Chapter 11 – Differential Equations. Notes.
10 Sep 2017   Contributor(s):: Brian Winkel
EdelsteinKeshet, Leah. 2009. Chapter 11 – Differential Equations. See http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g.,...

2010Del Ciello, Sarah, Jack Clementi, and Nailah Hart  Modeling Disease
10 Sep 2017   Contributor(s):: Brian Winkel
Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. See http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a...

1037SCommonColdSpread
30 Nov 2016   Contributor(s):: Richard Corban Harwood
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...

1059SContainerShapeFallingWater
22 Nov 2016   Contributor(s):: Brian Winkel
We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.