Differential equations are the language of the models we use to describe the world around us. Most phenomena require not a single differential equation, but a system of coupled differential equations. In this course, we will develop the mathematical toolset needed to understand 2x2 systems of first order linear and nonlinear differential equations. We will use 2x2 systems and matrices to model:
- predator-prey populations in an ecosystem,
- competition for tourism between two states,
- the temperature profile of a soft boiling egg,
- automobile suspensions for a smooth ride,
- pendulums, and
- RLC circuits that tune to specific frequencies.
The five modules in this seriesare being offered as an XSeries on edX. Please visit the Differential EquationsXSeries Program Page to learn more and to enroll in the modules.
- Wolf photo by Arne von Brill on Flickr (CC BY 2.0)
- Rabbit photo by Marit & Toomas Hinnosaar on Flickr (CC BY 2.0)
---
Please note: edX Inc. has recently entered into an agreement to transfer the edX platform to 2U, Inc., which will continue to run the platform thereafter. The sale will not affect your course enrollment, course fees or change your course experience for this offering. It is possible that the closing of the sale and the transfer of the edX platform may be effectuated sometime in the Fall while this course is running. Please be aware that there could be changes to the edX platform Privacy Policy or Terms of Service after the closing of the sale. However, 2U has committed to preserving robust privacy of individual data for all learners who use the platform. For more information see the edX Help Center.
