North Carolina State University Department of Mathematics Fall Semester, 2002 MA732 --- Ordinary Differential Equations II Text: Differential Equations and Dynamical Systems, 3rd edition, by Lawrence Perko Topics: The general topics of the course in approximate order are as follows: 1. Limit set and attractors 2. Periodic orbits, limit cycle and separatrix 3. Stable and unstable manifold for periodic solutions 4. Poincare Bendixson theory 5. Bifurcations, 6. Fredholm's alternative. 7. Traveling wave, boundary and internal layer solutions There will be one test, one project and one final exam. The grade is determined by: 1. Homework 30% 2. Test 20% 3. project 20% 3. Final 30%