Course Outcomes
Introduction to the modeling and qualitative theory of differential equations
Introduction to the modeling and qualitative theory of differential equations, both ordinary and partial. Specific topics include: existence/uniqueness of ordinary differential equations (ODE), stability theory for smooth continuous dynamical systems, modeling with ODEs, bifurcation theory, modeling with partial differential equations (PDE), method of characteristics, parabolic operators and viscous effects, conservation laws, Sturm-Liouville operators, eigenfunction expansions, and Green's functions.
For detailed information about desired learning outcomes visit the Math 436 Wiki page.