We are pleased to announce the following Workshops funded by the Academic Affairs Professional Development Program, the College of Arts and Sciences, the Department of Mathematics, and the Department of Physics and Astronomy at the University of Wisconsin - Eau Claire.

Please join us

To be offered at the Department of Mathematics, University of Wisconsin - Eau Claire  by:

Professor M
.
El-Gebeily,
Department of Mathematical Sciences,
King Fahd University of Petroleum and Minerals,
Dhahran, Saudi Arabia.

Workshop 1: Singular Differential Equations (1-1:50 pm in HHH  309)

This workshop will consist of three advanced seminars to be given on 7/12, 7/14 and 7/15. The titles of these seminars are to be:

Seminar A:  Introduction to Singular and Weakly Singular Differential Equations

Seminar B:  A Weak Formulation of Singular Differential Operators In Spaces with Minimal Differentiability

Seminar C:  Approximating Singular Differential Operators By Nearby Regular Ones

Workshop 2: Wavelets & Image Processing Applications (1-1:50 pm in HHH  309)

(May also be taken by students with Linear Algebra background for credits. ONE 400 Level Credit will be offered)

This workshop will consist of nine lectures to be given on 6/21, 6/23, 6/24, 6/28, 6/30, 7/1, 7/7, 7/8 and 7/9.

An abstract for the material of this workshop is:

The exploding popularity of wavelet methods in sciences and commercial analysis is mainly due to multidisciplinary efforts of mathematicians, physicists, engineers and computer scientists. Every day articles appear to report the use of wavelet methods in a new discipline. Nowadays, we have seen applications of wavelets in such diverse areas as finger print analysis, the Dow Jones stock charts, genome sequencing, image processing…

This workshop course presents a tour of the theory of wavelets and some of its applications. The topics to be covered include wavelet transforms, wavelet zoom, wavelet bases and time-frequency analysis. As for the applications we will be exploring- as time allows- some topics in image processing, computer vision and human vision and the study of distant galaxies.

Any exposition of wavelet methods unavoidably uses vector space formalism and not just simple linear algebra. This formalism will remain in the background throughout the tour and it is hoped that we will manage to clarify these concepts without going deep into mathematics. Thus, this course is intended for people with a basic background in linear algebra, linear vector spaces and Fourier transforms.

Throughout the presentation we will be using the wavelet toolbox of MATLAB. However, there is a big library of free software available on the internet the can do about as good a job. We will indicate some of the important wavelet resources on the internet.

 

For further information please contact:

Professor Mohamed B. Elgindi
Department of Mathematics
UW-Eau Claire,
Eau Claire, WI 54702-4004
Tel. (715) 836-2768
elgindmb@uwec.edu