Ordinary Differential Equations (201-1-0061)

Lecture Location:

• Sundays,    10:00-12:00, building 34, room 116.
• Sundays,    14:00-15:00, building 32, room 110. (exercise session)
• Mondays,  12:00-14:00, building 72, room 215.
• Lectures ended on Monday, 11/01/10.

Course Information:

• Course policies.
• Final Exam: Includes all the material covered in class, except phase portraits of differential equations.
  • Moed A: 15/01/2010 at 9:00.
  • Moed B: 10/02/2010 at 13:30.
• As stated in the course policy, you must have a passing grade in the homework to participate in the final exam. The following table containts the last 4 digits of the teudot zehut of all students who can take the final exam:
  
  

  ת"ז	ת"ז	ת"ז	ת"ז
  0193	2831	6019	8511
  0969	2932	6262	8807
  1176	3418	6284	9263
  1706	4119	7027	9745
  1829	4837	7715	9805
  2220	5107	8183	9908
  2376	5331	8240	9991
  2798	5821	8414

Homework

• Homework 1 (solutions)
• Homework 2 (solutions)
• Homework 3 (solutions)
• Homework 4 (solutions)
• Homework 5 (solutions)

Teaching Materials

• Problems for tirgul of 15.11
• Midterm and solutions.

Syllabus:

• Ordinary differential equations of first order
  • Classical examples
  • Existence and uniqueness theorems
• Linear equations of order n, the Wronskian
• Vector fields and autonomous equations
• Linear systems of differential equations
• Nonlinear systems of differential equations and stability
• Additional topics (time-permitting).
• See also the Course Catalog.

Recommended bibliography:

1. E. A. Coddington and N. Levinson, Theory of ordinary differential equations, New York: McGraw-Hill, 1955. (QA 372.C6)
2. E. A. Coddington, An introduction to ordinary differential equations, Englewood Cliffs: Prentice-Hall, c1961. (QA 372.C59)
3. M. Hirsch and S. Smale, Differential equations, dynamical systems, and linear algebra, New York: Academic Press, 1974. (QA 3.P8 VOL.60)
4. W. E. Boyce and R. C. DiPrima, Elementary differential equations and boundary value problems, New York: Wiley, 1992. (QA 372.B72 1992)
5. V. I. Arnol'd, Ordinary differential equations, translated from the Russian by Roger Cooke, Berlin : Springer-Verlag, c1992. (QA 372.A713 1992)