Math 557     Fall 2014

Ordinary Differential Equations and Dynamical Systems

A Quick Link to Homeworks and Solutions

Important Announcements

Go Cyclones


Michael W. Smiley
Professor of Mathematics
Office: 458 Carver Hall
Office phone/voice mail: 294-6420
office hours: MWF 11-12 & 1:30-2:30; and by appointment

Email, Office Hours, and Grades

The office hours are intended to be used to help students with questions about mathematical problems. They can also be used to discuss exam scores and a student's progress in the course. Email will not be used for these purposes. As a standard policy, no grades or exam scores will be sent out to students via email or over the phone.

Catalog Description

Math 557. Ordinary Differential Equations and Dynamical Systems. (3-0) Cr. 3. F. Prereq: 415 or 501. The initial-value problem, existence and uniqueness theorems, continuous dependence on parameters, linear systems, stability and asymptotic behavior of solutions, linearization, dynamical systems, bifurcations, and chaotic behavior.


Ordinary Differential Equations and Dynamical Systems , by Gerald Teschl .

List of References

    Classic Texts on Differential Equations

  1. Theory of Ordinary Differential Equations, by Earl Coddington and Norman Levinson, McGraw-Hill, 1955.
  2. Asymptotic Behavior and Stability Problems in Ordinary Differential Equations (2rd edition), by Lamberto Cesari, Springer, 1963.
  3. Ordinary Differential Equations, by Philip Hartman, John Wiley & Sons, 1964.
  4. The Qualitative Theory of Ordinary Differential Equations, An Introduction, by Fred Brauer and John Nohel, Dover, 1969.
  5. Ordinary Differential Equations, by Jack Hale, Wiley-Interscience, 1969.
  6. Texts on Dynamical Systems

  7. Applications of Centre Manifold Theory, by Jack Carr, Springer, 1981.
  8. Geometric Theory of Dynamical Systems, An Introduction, by Jacob Palis, Jr. and Welington de Melo, Springer, 1982.
  9. Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, by John Guckenheimer and Philip Holmes, Springer, 1983.
  10. More Recent Texts on Differential Equations

  11. Ordinary Differential Equations, by Richard Miller and Anthony Michel, Academic Press, 1982.
  12. Nonlinear Ordinary Differential Equations, by Roger Grimshaw, Blackwell Scientific Publiching, 1990.
  13. Differential Equations, Introduction and Qualitative Theory (2nd. edition), by Jane Cronin, Dekker, 1994.
  14. Ordinary Differential Equations, by Wolfgang Walter, Springer, 1998.
  15. Ordinary Differential Equations with Applications, by Carmen Chicone, Springer, 1999.
  16. Basic Theory of Ordinary Differential Equations, by Po-Fang Hsieh and Yasutaka Sibuya, Springer, 1999.

Copies of references 2,3,5,6,7,8,10,11 can be obtained from the instructor.

Grading Policy

Course grades will be determined from student performance on homework assignments and possibly one or two exams that would correspond to a midterm and/or final exam. There will be four to six homework assignments, and at most two exams.

Disability Resources

Iowa State University complies with the American with Disabilities Act and Section 504 of the Rehabilitation Act. If you have a disability and require accommodations, please contact the instructor early in the semester so that your learning needs may be appropriately met. You should contact the Disability Resources office for information on appropriate policies and procedures. The Disability Resources office is located on the main floor of the Student Services Building, Room 1076; their phone is 515-294-6624.

Homework Assignments and Solutions

None yet.

Maintain by the instructor, last updated: August 20, 2014.