Mathematics 398. Experimental Courses
This course is an introduction to difference equations and discrete dynamical systems. Difference equations originally became popular as a way to numerically approximate the solution to differential equations, but difference equations are a natural way to model phenomena in biology, physiology, physics, engineering, economics, and other areas. The focus of the course will be linear and nonlinear difference equations on the real line and in the plane, including stability analysis, qualitative behavior, chaos, and applications.