TEACHER NOTES

ISSUES RELATED TO THE PROBLEM

Prerequisites

Students should be able to solve First-order,separable, linear differential equations and then fit data to the solution to determine a single parameter in the differential equation model. They can do this by eyeballing the fit or formulating a least squares sum as a function of that parameter and minimizing the sum of the squares to determine the best parameter.

Time allotment - time management

Expectations

Future payoffs

Extensions

References and Sources

For data and general models of running see Pritchard, W. R. 1993. Mathematical Models of Running. SIAM Review. 35(3) 359-379.