Class
meets: Tuesday/Thursday Period 7 (6:10-7:30),
in Hill 423
Instructor:
Dr. Eduardo Sontag -
724 Hill
Center - sontag@math
Notes and Post-morten
Teaching
evaluations (includes auditors as well as registered students)
Lecture Notes
Problem Sets
links
on ODE's, phase plane graphers, maple, etc
misc notes
(prepared primarily for other courses)
The usual foundational results will be covered (existence and uniqueness under Lipschitz conditions, existence under continuity, continuity and differentiability on initial conditions and parameters, linear equations including Floquet theory), as well as several topics in dynamical systems (orbits and asymptotic limit sets, Poincare'-Bendixson, stability and Lyapunov functions, and existence of stable and unstable manifolds). Depending on time and student interest, more advanced topics may be covered as well.
I will be using primarily professor Speer's lecture notes, which have been
used several times in this course, but plan to select certain additional
materials (to be placed on
the web, linked from this page) as well.
I also expect to make moderate use of either Matlab or Maple, for
some computational assignments.