Application of a Homogeneous System: Amusement Park Circulation Problem
0Day 1 | 2:30 PM–3:00 PM
"Application of a Homogeneous System: Amusement Park Circulation Problem"
Presented by:
Tamar Avineri, North Carolina School of Science and Mathematics, Durham NC USA
https://qubeshub.org/community/groups/simiode/expo/2025
Abstract: A large amusement park is divided into three large regions: Geometry World, Land of Probability, and Fun-Function City. It’s the grand opening, and 1000 specially-invited visitors will all enter Geometry World at the same time. In this session, we will look at a problem that prompts students to write differential equations that model how many visitors there are in each region t hours after the park opens. The problem is designed for students in Differential Equations or Linear Algebra. The session will begin with a statement of the problem to model how it is launched in the classroom. Participants will have an opportunity to briefly consider how they would approach the problem and share their thoughts during the session (10 minutes). We will then move to a discussion of solutions (10 minutes) and examine student-generated solutions, if time permits (5 minutes). The final 5 minutes will be focused on questions from the audience.