MATH 415

Qualitative properties of differential equations and systems of differential equations. oscillation and comparison theorems for second order linear equations, matrix techniques for linear systems, diffeomorphisms for nonlinear systems, and stability analysis. Examples drawn from mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks and chemical oscillators. -- Prerequisite -- MATH 211, MATH 255, and (MATH 152 or MATH 221). -- Corequisite -- None. -- Pre or Corequisite -- None.