Courses & Tutorials
Advanced Calculus
Introduction to Mathematical Physics
Abstract Algebra, Group Theory, Rings
ABSTRACT ALGEBRA ONLINE - J.A. Beachy, Department of Mathematical Sciences,
Nothern Illinois University
Multimedia Course (Text & Images).
"...intended for undergraduate students taking an abstract algebra class
at the junior/senior level, as well as for students taking their
first graduate algebra course. "
For more information see
Abstract Algebra Home Page or
John A. Beachy's Home Page
ATLAS OF FINITE GROUP REPRESENTATONS - R. Wilson, P. Walsh, J. Tripp, I. Suleiman,
S. Rogers, R. Parker, S. Norton, S. Linton and J. Bray, School of Mathematics & Statistics, University of
Birmingham, U.K.
Multimedia Atlas (Text & Images).
For more information see
Atlas Home Page or the
School of Mathematics & Statistics
Applied Finite Math & Calculus
Chaos
CHAOS ON THE WEB: PHYSICS 161: INTRODUCTION TO CHAOS- M. Cross,
Condensed Matter Physics Group, Division of Physics, Mathematics and Astronomy,
California Institute of Technology (Caltech)
VERY VERY EXTENSIVE.
Multimedia Course with Java Applet Demonstrations.
For more information see
Chaos on the Web Home Page;
Michael Cross's Home Page;
Condensed Matter Physics Group or the
Division of Physics, Mathematics and Astronomy
Some examples from over "50" Applets inlclude
PATTERN FORMATION IN NONEQUILIBRIUM SYSTEMS: PHYSICS 161B- M. Cross,
Condensed Matter Physics Group, Division of Physics, Mathematics and Astronomy,
California Institute of Technology (Caltech)
VERY EXTENSIVE.
Java Applet Demonstrations.
For more information see
Chaos on the Web Home Page;
Michael Cross's Home Page;
Condensed Matter Physics Group or the
Division of Physics, Mathematics and Astronomy
Some examples from over "15" Applets inlclude
Computational Physics
Differential Geometry
Fourier
FOURIER AND THE FREQUENCY - Signal Processing Division,
EEE Department, Strathclyde University, Glasgow, Scotland
Multimedia Tutorial (Text & Images).
"This package is a Tutorial program designed to take you through the various
stages of the Fourier Transform, and it's applications in the field of
Digital Signal Processing (DSP).
For more information see
Signal Processing Division
FOURIER SYNTHESIS (JAVA APPLET) - Yves Moreau & J. Porque,
Centre d'Electronique et de Micro-Optoélectronique de Montpellier,
CNRS & the Universite des Sciences Montpellier, Montpellier, France
VERY EXTENSIVE.
"...choose a saturated cosine, a square signal, a rectified cosine or
triangle signal (choose curve on top line). Vary the frequency, the
amplitude and phase and play it...Then click on add comp to let
the computer generate the first component (cosine) of the
fourier expansion..."
For more information see
Group photonique (Photonics Group) or the
Centre d'Electronique et de Micro-Optoélectronique de Montpellier
FOURIER SYNTHESIS - M. Thole, Institut für Netzwerktheorie und
Schaltungstechnik, TU Braunschweig, Bundesrepublik Deutschland (Germany)
"A periodic signal can be described by a Fourier decomposition as a Fourier
series, i. e. as a sum of sinusoidal and cosinusoidal oscillations. By reversing this
procedure a periodic signal can be generated by superimposing sinusoidal and cosinusoidal waves."
For more information see
Java Display Case or
Manfred Thole's Home Page
INTRODUCTION TO FOURIER THEORY - F.M. Hoffman, Department of Physics and Astronomy,
University of Tennessee, Knoxville & the Oak Ridge National Laboratory
Multimedia Tutorial (Text & Images).
For more information see
Forest M. Hoffman's Home Page - UT or
Forest M. Hoffman's Home Page - ORNL
Real Analysis
Statistics
Tensors
Topology
TOPOLOGY - Authors: S. McCluskey (University College Galway, Ireland) &
B. McMaster (The Queen's University of Belfast, Northern Ireland)
and hosted by York University, Toronto, Ontario, Canada
Multimedia Course/Lecture (Text & Images).
For more information see
Topology Atlas Webcourse
Examples from "5" Chapters include
EXHIBITION OF KNOTS - Designed by: R. Brown , N. Gilbert, & T. Porter;
W.W.W. Production by: C. Quinton, School of Mathematics, University of Wales, Bangor
Multimedia Course (Text & Images).
For more information see
An Exhibition Presented by the School of Mathematics
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