COURSE SYLLABUS

Course Number: MATH6240
Course Title: FOURIER ANALYSIS
Credit Hours: 3
Prerequisites: MATH6200
Corequisite: 

Objectives: 
To present the fundamentals of Fourier analysis and to develop student understanding and problem solving skills in the subject.

Schedule and Outline of Course Content: 
Fourier series periodic functions.  (3 days).  
Fourier series in arbitrary periods, Complex form. (6 days).  
Convergence of Fourier series: 
Pointwise convergence, uniform convergence and mean square convergence. (3 days).  
Bessel's inequality, (3 days).  
Dirichlet's integral, (3 days).  
The Cauchy-Schwarz inequality, (3 days).
Summation of Fourier series. (3 days).
Applications of Fourier:  vibrating string problem, heat conduction problem and Laplace equation. (6 days).
Harmonic functions Theory:  Harmonic functions on a disk, Poisson's Integral. (3 days).
Basic Theory of Fourier Transform to solve Laplace's equations and heat equations and some other partial differentail equations. (6 days).

Possible textbooks:
Fourier Analysis, James S. Walker, Oxford undergraduate Press, 1988
Fourier Analysis and its Applications, Gerald B. Folland,  Wadsworth and Brooks/Cole 1992

Grading and Evaluation Procedures: 
Quizzes, tests, midterm exam, final exam. Other methods of evaluation are used at the discretion of the instructor.

Statement related to policies on unannounced quizzes and class attendance and participation:
Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.