School of Mathematics and Computing Sciences, Chalmers University of Technology and Goteborg University


Fourier Analysis, graduate course for PhD students in Chemistry, Lp4, Spring 2001


General information:

This is the "Fourier part" of a general PhD course in applied mathematics for chemists at Chalmers and GU. It is considered as a support course equivalent to 2 credit points covering basic theory of Fourier series, Fourier and Laplace transforms as well as signal analysis and dynamical system. The goal is to prepar the participants to apply Fourier techniques such as, discrete Fourier transforms, FFT, sampling theorem, etc., in their own field of study.


Literature:

G.B. Folland: Fourier analysis and its applications, Wadsworth & Cole 1992.
Available through UBS (University Book Service), Vasagatan 36, tel. 711 60 39

Some hand outs



Time and Place:

Thursday 17/5, Wednesday 23/5 and Thursday 31/5 in KD1.


Teacher:

Mohammad Asadzadeh,
telephone: (772)3517,
e-mail:mohammad@math.chalmers.se
URL:http://www.math.chalmers.se/~mohammad
Mathematical Centre, Eklandagatan, room 2331


Some support material:

$\circ$ Study outline (pdf-fil), (ps-fil),
$\circ$ Special case of some theorems (pdf.fil) , (ps.fil)
$\circ$ Extra problems (ps-fil), (pdf-fil)"

Preliminary plan of the Lectures:

Date Chapters in Folland Context
17/5 1, 2 Separation of variables, Fourier serier
23/5 7 Fourier transforms
31/5 7, 8 Fourier and Laplace Transforms


Project:
FFT(ps-fil)
FFT(pdf-fil)
From here you can create data:


M. Asadzadeh
May 17, 2001