id: 06618951
dt: j
an: 2016e.00841
au: Starling, James K.; Povich, Timothy J.; Findlay, Michael
ti: The local brewery: a project for use in differential equations courses.
so: PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 3, 188-196
(2016).
py: 2016
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: I75 M65 U75
ut: differential equations; nonlinear systems of differential equations; beer
fermentation
ci:
li: doi:10.1080/10511970.2015.1091413
ab: Summary: We describe a modeling project designed for an ordinary
differential equations (ODEs) course using first-order and systems of
first-order differential equations to model the fermentation process in
beer. The project aims to expose the students to the modeling process
by creating and solving a mathematical model and effectively
communicating their findings in a technical report. The students are
required to produce a simple first-order differential equation and find
the solution, given varying initial conditions. The students are also
required to analyze a more complex, nonlinear ODE system model of the
fermentation process. In dealing with the nonlinear system of
equations, we provide the students a {\tt Mathematica} file to reduce
the time spent developing the model, but allow for more time to
interpret the model. We also share some perspectives on the
implementation of the project, provide alternative implementations, and
possible extensions to the project.
rv: