A study of nonlinear ordinary differential equations and systems of such equations, with a focus on approaching problems geometrically. Topics include phase space, equilibrium solutions, bifurcations, stability analysis, limit cycles, chaos, fractals, and strange attractors; other topics may be selected at the discretion of the instructor. Applications to problems in biology, chemistry, physics, engineering and other fields will be explored. Fall, even years.
Prerequisite:
MATH 260 Minimum Grade: C-