26 May 2022 | Teaching Materials | Contributor(s):
By Troy Henderson
University of Mobile, Mobile AL USA
We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea...
25 May 2022 | Teaching Materials | Contributor(s):
By Brian Winkel
SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...
By Chris McCarthy
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
By William (Bill) Skerbitz
Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire...
By Chris McCarthy, Brian Winkel1
We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...
24 May 2022 | Teaching Materials | Contributor(s):
By Jean Marie Linhart
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.
23 May 2022 | Teaching Materials | Contributor(s):
By Kurt Bryan
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...
22 May 2022 | Teaching Materials | Contributor(s):
By Lisa Driskell, Audrey Malagon1
Virginia Wesleyan College, Norfolk VA USA
Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the sun...
By Jeff Pettit
Portland Community College, Portland OR USA
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with...
We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.
By Arati Nanda Pati
University of St. Thomas, Houston TX USA
Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation,...
21 May 2022 | Teaching Materials | Contributor(s):
By Laren Bliss
Virginia Military Institute, Lexington VA USA
We model exponential death with m&m's as well as death with immigration.
We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass...
20 May 2022 | Teaching Materials | Contributor(s):
Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power....
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
19 May 2022 | Teaching Materials | Contributor(s):
By Bonnie Moon
Brigham Young University-Idaho, Rexburg ID USA
In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.
18 May 2022 | Teaching Materials | Contributor(s):
We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects...
16 May 2022 | Teaching Materials | Contributor(s):
By Iordanka Panayotova1, Maila Hallare2
1. Christopher Newport University 2. NSU Math
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities...
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...