1. J. David Logan , "Applied Mathematics" , John Willey and Sons, Inc, New York , 1997 (Second Edition)

2. Roland B Guenter and John W. Lee, "Partial Differential Equations of Mathematical Physics and Integral Equations"", Prentice Hall, 1988.

3. E.T. Copson, "partial Differential Equations", Cambridge University Press, 1975.

1. P. Dennery and A. Krzywicki, "Mathematics for Physicists", Harper and Row, 1967.

2. F. B. Hildebrand, " Methods of Applied Mathematics", second edition, Prentice Hall.

3. Sadri Hassan, "Mathematical Physics: A Modern Introduction to its Foundations", Springer Verlag, New York, 1999.

4. WE Boyce and RC Di Prima, "Elementary DEs and BVPs" Sixth Edition. In particular Chapter 9.

5. Richard Courant and David Hilbert, "Methods of Mathematical Physics", Vol 1,2 2004 WILEY-VCH, Weinheim.

Wednesday 13:40-15:30 SA-Z02

Friday 15.40-17.30 SA-Z02

For exam results please see math544exams

notes, D. Logan and assigned exercies here

Lecture 1: Calculus of Variations

Lecture 2:Classifications of Partial Differential Equations

Lecture 3: Hyperbolic Type of Equations

Lecture 4: Parabolic Type of Equations

Lecture 5: Elliptic Type of Equations

Lecture 6: Integral Equations and Green's Function

Lecture 7: Stability and Bifurcations

Lecture 1

homework 1

2.

Assigned exercises, set 1 (pdf file)

FIRST PROJECT (March 5, 2013)

3.

Assigned exercises, set 2 (pdf file)

homework 2

4.

Assigned exercises set 3 (pdf file)

Lecture 2

5.

Assigned exercises set 4 (pdf file)

homework 3

6.

Lecture 3

Assigned exercises, set 5

7.

Lecture 4

8.

Assigned exercises, set 6

homework 5

9.

Lecture 5

10.

Assigned exercises, set 7 (Ch.4)

Assigned exercises, set 9

Assigned exercises, set 8

Lecture 6

11.

homework 6

homework 6 (solution)

12.

13.

Assigned exercises, set 10

14.

Lecture 7

(first midterm exam was up to this section)

CH.4 Latex File , dvi file , ps file

(second midterm was up to this section)

CH.5 Latex File , dvi file , ps.file

02. Febr. 12- Calculus of Variations

03. Febr. 19- Calculus of Variations

04. Febr. 26- Partial Differential Equations

05. Marc. 05- Partial Differential Equations

06. Marc. 12- Partial Differential Equations

07. Marc. 19- Partial Differential Equations

08. Marc. 26- Partial Differential Equations

09. Aprl. 02- Integral equations and Green's Functions

10. Aprl. 09- Integral equations and Green's Functions

11. Aprl. 16- Integral Equations and Green's Functions

12. Aprl. 23- Integral Equations and Green's Functions

13. Aprl. 30- Integral Equations and Green's Functions

14. May. 07- Stability and Bifurcations

15. May. 14- Stability and Bifurcations