
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.

1081STumorGrowth
09 Jun 2018   Contributor(s):: Randy Boucher, Ryan Edmund Miller
Students will transform, solve, and interpret a tumor growth scenario using nonlinear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

Calculus for Engineers IISample Problems on mathematical modeling with differential equations
10 Sep 2017   Contributor(s):: Brian Winkel
Calculus for Engineers IISample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...

Sustainability in a differential equations course: a case study of Easter Island
01 Mar 2017   Contributor(s):: Brian Winkel
Koss, Lorelei. 2011. Sustainability in a differential equations course: a case study of Easter Island. International Journal of Mathematical Education in Science and Technology. 42(4): 545553.Article Abstract: Easter Island is a fascinating example of resource depletion and population collapse,...

1021SFeralCatControl
24 Jan 2016   Contributor(s):: Rachel Bayless, Nathan Pennington
This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...

1999MeyerAusubelCarrying Capacity: Logistically Varying Limits
25 Jun 2015   Contributor(s):: Jesse H. Ausubel, Perrin S. Meyer
Meyer, Perrin S. and Jesse H. Ausubel. 1999. Carrying Capacity: A Model with Logistically Varying Limits. Technological Forecasting and Social Change. 61(3): 209214.This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This...