MATH 611 SYLLABUS 

KING FAHD UNIVERSITY OF PETROLEUM & MINERALS

Department of Mathematical Sciences

Semester I, 2001-2002

Course #:        Math. 611 - Hilbert Space Methods in Applied Mathematics.

Instructor:       Dr A. Boucherif.

Textbook:       I. Stakgold, Green s Functions and Boundary Value Problems, John Wiley & Sons, New York, 1979.

References:

1.      L. D. Kovach, Boundary Value Problems, Addison Wesley, 1984.

2.      J. P. Keener, Principles of Applied Mathematics: Transformation and Approximation, Addison Wesley.

3.      B. Friedman, Principles and Techniques of Applied Mathematics,

Objectives:      This course is designed to expose the students to methods applicable to problems arising in the applied sciences. The method of Green s functions is introduced through intuitive ideas and simple examples, and then applied to the systematic study of two-point boundary value problems for second and higher order differential equations. Metric and Hilbert spaces shall be discussed in order to introduce the basic ideas of operator theory with application to Volterra and Fredholm integral equations. Finally, the theory of distributions will be presented in an elementary way.

Grading Policy:          

-One mid-term exam.:  35 %

                                    -One final exam (part I: take-home, part II: in-class): 45 %

                                    -Assignments : 20 %    

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