Course Language:

English

Course Objectives:

To teach the basic principles of elementary Fourier analysis.

Course Content:

Functional sequences and series. Convergence. Cauchy-Schwarz inequality. Fourier series and its convergence. Orthogonal polynomials. Fourier series with respect to an orthogonal system. Bessel's inequality. Generalizations with weight. Completeness of orthogonal systems. Parseval's identity. Fourier integrals. Fourier transformations. Applications to boundary value problems,

Course Methodology:

1: Lecture, 2: Problem Solving, 3:Question-answer, 4: Homework

Course Evaluation Methods:

A: Written examination, B: Homework