Monday, July 22
Sophomore courses on differential equations form the foundation for much of the applied mathematics of interest to SIAM members. Sophomore differential equations courses are now seeing major changes, following the dramatic curriculum reform in calculus. Some typical features of the new courses are intensive use of computer algebra systems for symbolic and numeric calculations, emphasis on qualitative studies, more realistic applications, substantive modeling, links to discrete dynamical systems, and a proposed shift from analysis to design (taking a control perspective). It is imperative that researchers and practicioners of applied mathematics stay involved in the reform efforts, so the speakers will provide an overview of some of the current trends.
The New Sophomore Differential Equations Courses
Organizer: Matthias Kawski
Arizona State University
- 8:30 Visual Differential Equations and Mathematica
- Jerry Uhl, University of Illinois
- 9:00 Introductory Differential Equations: From Linearity to Chaos
- Eric Kostelich, Arizona State University
- 9:30 A Modeling Perspective for the First ODE Course
- Robert Borrelli, Harvey Mudd College
- 10:00 Exploring Differential Equations via Graphics and Data
- David Lomen, University of Arizona
- 10:30 Control into the First Differential Equation Course!
- Matthias Kawski, Organizer