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

5. Haaser and Sullivan , "Real Analaysis", The University Series in Undergraduate Mathematics.

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

7. W. E. Boyce and R. C. DiPrima, " Elementary Differential Equations and Boundary Value Problems",

Sixth Edition, John Wiley and Sons, Inc.

some subjects in applied mathematics

Thursday 10:40-12:30 (SA-Z02)

For exam results please see math543exams

and the assigned exercises below

2. Lectures 1 and 2-- [Function Spaces]

3. Lectures 3 and 4-- [Hilbert Spaces, Bases and Orthoganal Polynomials]

4. Lectures 5 and 6-- [Genralization of the Weirtstrass Theorem and Classical Orthogonal Polynomials]

5. Lectures 7 and 8-- [Second Order ODEs and Green's Function Method]

6. Lectures 9 and 10-- [Series solutions of DEs, Frobenius Method and Fuchsian DEs]

7. Lecture 10-- [Confluent Hypergeometric Equation is included]

8. Lecture 11 [Regular Perturbation Method]

9. Lecture 12 [Singular Perturbation Method]

2. set 2 pdf file , ps file

3. set 3 pdf file , ps file

4. set 4 pdf file , ps file

1st exam pdf file

5. set 5 dvi file , ps file

6. set 6 dvi file , ps file

7. set 7 dvi file , ps file

2nd exam with solutions pdf file

8. set 8 dvi file , ps file

9. set 9 pdf file

10. set 10 pdf file

Final exam (pdf file)

Chapter III of Dennery, Chapter 5 (Hilbert Spaces) of Sadri Hassan

assigned exercises, set 1 pdf file ,

Homework Set 1 pdf file ,

assigned exercises, set 2, pdf file ,

Homework Set 2 pdf file ,

assigned exercises, set 3 pdf file

Spherical Harmonics in D Dimensions

Generating function of the Legendre Polynomials , Other generating functions

assigned exercises, set 4 pdf file

(2007)

First Midterm Exam pdf file (2006) ,

Homework Set 3 pdf file , assignaed exercises, set 5 pdf file

assigned exercises, set 6 pdf file ,

(

(

Second Midterm Exam pdf file

assigned exercises, set 7 pdf file

assigned exercises, set 8 pdf file

(Due December 28)

Assigned exercises, set 9 pdf file

Second Midterm Exam pdf file

Assigned exercises, set 10 pdf file

First Midterm

Second Midterm

Final Exam

02. Oct. 01 - Function Space

03. Oct. 08 - Function Space

04. Oct. 15 - Ordinary Differential Equations

05. Oct. 22 - Ordinary Differential Equations

06. Oct. 29 - Ordinar Differential Equations

07. Nov. 05 - Ordinary Differential Equations

08. Nov. 12 - Perturbation Methods

09. Nov. 19 - Perturbation Methods

10. Nov. 26 - Perturbation Methods

11. Dec. 03 - Perturbation Methods

12. Dec. 10 - Calculus of Variations

13. Dec. 17 - Calculus of Variations

14. Dec. 21 - Calculus of Variations