MA 360 Intermediate Differential Equations
This course offers more in-depth coverage of differential equations. Topics include ordinary differential equations as finite- dimensional dynamical systems; vector fields and flows in phase space; existence/uniqueness theorems; invariant manifolds; stability of equilibrium points; bifurcation theory; Poincaré-Bendixson Theorem and chaos in both continuous and discrete dynamical systems; and applications to physics, biology, economics, and engineering.