What's New on the Mathematics Archives --- April 1996

On this page you will find a chronicle of additions and changes of the items contained on the Mathematics Archives which were made during the month of April, 1996.

• St. John's University, Jamaica, NY
• St. Norbert College
• Salisbury State University
• Shorter College
• Sogang University
  • Faculty
  • Courses
• South China University of Technology
• South Dakota School of Mines and Technology
• Southern Alberta Institute of Technology
• Southern College of Technology
• Southwestern Adventist College
• Stetson University
• Stonehill College
• SUNY at Farmingdale

A Calculator to Merge Two Samples

Use this form to get combined statistics from two sets of sample statistics. Note: This form uses JavaScript and requires Netscape 2.0 or later.

Wavelet Cascade Applet

This JAVA Applet graphs scaling functions and wavelets with two parameters even and odd. If you are interested, there is a discusiion of the mathematics behind the Applet. The applet shows the graph of the scaling function or wavelet, which is defined on [0,3], on top and the parameter space below.

MIX Software

MIX software fits mixture distributions to grouped data by the method of maximum likelihood. Mixtures of up to 15 components can be fitted, and the data can be grouped over as many as 80 intervals.

Stats on the Mac Home Page

This collection of pages is intended to provide a clearinghouse for information regarding using the Macintosh for statistical analysis. The emphasis here is on statistical analysis as used in marketing and other social science research. It may also be relevant for engineering and hard science applications but that's not its main focus.

UnitCalc - A calculator that keeps track of units

UnitCalc is a Reverse Polish Notation calculator which does all arithmatic with the numbers and the units.

WaveLab

WaveLab .701 is a library of MATLAB routines for wavelet analysis, wavelet- packet analysis, cosine-packet analysis and matching pursuit. WaveLab has been used in teaching courses in adapted wavelet analysis at Stanford and at Berkeley.

Challenger Center for Space Science Education

Challenger Center for Space Science Education is a not-for-profit organization committed to promoting science, math and technology education. Partnering with museums, science centers, schools, universities and communities across North America, Challenger Center uses the theme of space exploration to: create positive learning experiences, foster interest in math, science and technology, and motivate young people to explore.

Ontario Science Centre

The Educational Programs section at the Ontario Science Centre, "your partner in math, science and technology education", is offers quality programs and workshops which have been presented to millions of students and teachers since their opening in 1969.

Fun with PI

This page contains some methods to calculate PI to a lot of decimals. It also contains some programs you can use to try it yourself, all of these programs were written and tested on my home LINUX-system. I used one of the programs on this page to calculate 1.000.000 decimals of PI. (It took 12 hours on my Pentium-60 !) If you are really interested, you can get the file that contains all the decimals here.

• Royal Military Academy of Belgium Applied Mathematics Department
• Université Jean Monnet, Saint Etienne
  • Laboratoire d'Analyse Numérique

• Queensland University of Technology
  • Centre in Statistical Science and Industrial Mathematics
• Rand Afrikaans University
• Reed College

Reed College's Recent Senior Theses in Mathematics.

Teacher Talk Forum - Math Section

Teacher's Edition Online - Math Section

• Joetsu University of Education
• Nanyang Technological University
• Ngee Ann Polytechnic
• North Seattle Community College
• Ohio Wesleyan University
• Okanagan University
• Olivet Nazarene University
• Regional Technical College Galway
• SUNY at Cortland
• University College Dublin
• Universität GHS Essen
  • Institute for Experimental Mathematics
• University of Innsbruck
• University of Manchester Institute of Science & Technology
• Université de Neuchâtel
• University of Prince Edward Island
• Universidad de la República Oriental del Uruguay
  • Las Publicaciones Matemáticas del Uruguay
• University of Texas - Pan American
• University of Texas at Arlington
• Walla Walla College
• West Chester University

• East Carolina University
  • Programs in Mathematics Education
    • North Carolina Council of Teachers of Mathematics
    • Mathematics Education PrePrint Server

Neufeld & Associates

Publishers of The UNDERSTANDING MATH Programs, collection of programs for interactive learning for grades 6-10. Topics include algebra, equations, exponents, geometry and integers. Software is available in both English and French. Demos are available. The company also provides lessons plans related to these packages and organizes workshops.

• Mesa Community College
• Metropolitan State College of Denver
• Miami University
• Millersville University
• Milligan College
• Millikin University
• Mills College
• Milwaukee School of Engineering
• Mindanao State University - Iligan Institute of Technology
• Missouri Western State College
• Moorpark College
• Murray State University

Pythagoras' Theorem

This page shows an animated geometrical proof of Pythagoras' Theorem. The three buttons, NEXT, BACK, RESTART, allow you to go through the steps of the proof.

• Karl-Franzens-Universität Graz
• Katholische Universität Eichstätt
• Kean College of New Jersey
• Keele University
• Kenyon College
• Knox College
• Mahidol University
• Manchester Metropolitan University
  • Dave's Mathematics, Education, Philosophy and Chreods server
• Marywood College

A Visual Dictionary of Special Plane Curves

Do you know what is a Nephroid? Check out information about this curve and many other curves. Many graphs are drawn and there are mathematica and geometry sketchpad notebooks for sketching these curves.

Interactive Linear Programming

In addition to providing information and links concerning linear programming, this page lets the user submit a linear programming problem which it then solves.

• Eastern Kentucky University
• Lane Community College
• Le Moyne College
• LeTourneau University
• Lock Haven University of Pennsylvania
• Louisiana College
• Loyola Marymount University

Center for Approximation Theory

The Center for Approximation Theory (CAT) was founded in September, 1981, by Charles K. Chui, L. L. Schumaker, and J. D. Ward. During the past fourteen years, it has grown into a preeminent center of research in approximation theory and related areas, notably wavelet analysis. The research interests of the various center members have covered a wide range of topics; the thrust of current research is in the areas of splines, computer aided geometric design (CAGD), radial basis functions, and wavelets.

CMAP - Centre de Mathématiques Appliquées

IREM - Institut de Recherche sur l'Enseignement des Mathématiques

Statistics - The Study of Stability in Variation

This is a statistics textbook which is being written by Jan de Leeuw on the WWW. It includes demos which use Xlisp-Stat and includes a number of pages which have interactive calculators.

Gesellschaft für Didaktik der Mathematik (GDM)

This German society has as its major theme the teaching of mathematics.

SMAI - Société de Mathématiques Appliquées & Industrielles

The objectives of this society, formed in 1983, are to contribute to applied mathematical research, applications in industries and the training of researchers and engineers.

SMF - Société Mathématique de France

• Hampton University
• Hendrix College
• High Point University
• Hong Kong Polytechnic University
• Houston Community College System
  • Mathematics Software
• Illinois College
• Indiana University - South Bend
• Indiana University Southeast
• Johnson & Wales University, Providence, RI
• Kobe University

• Fitchburg State College
• Florida College
• Fontbonne College
• Fort Hays State University
• Franciscan University of Steubenville
• Franklin College
• Geneva College
• Gordon College
• Gulf Coast Community College
• Technical University of Gdansk
  • Department Mathematical and Numerical Analysis
  • Department of Differential Equations

Calculators On-Line - Mathematics

This the mathematics section of a collection of links to various calculators on the WWW. Many of the linked pages employ JAVA applets.

The KnotPlot Site

Here you will find a collection of knots and links, viewed from a (partly) mathematical perspective. The images here were created with KnotPlot, a fairly elaborate program to visualize and manipulate mathematical knots in three and four dimensions.

Knots on the Web

This page contains a collections which are divided into three sections: Knot Tying, Knot Theory, and Knot Art. But knot lovers will understand that these distinctions are artificial. For example, a good practical knot is both a nugget of hard-won technology and a thing of beauty. Decorative knotting can be useful, and in any case requires uncommon dexterity and practical tying ability.

Knot

Knot lets you create large 3-D color animations and stills of beautiful abstract knots. You design the knot's form, colors, motion, backgrounds and lighting - or design and render entire animations automatically. It's an endless source of gorgeous moving backgrounds and photocollage elements for your work.

MING - The MD-Energy of Knots

The problem about computation of knot energy is to find the minimal energy among all knots isotopic to a given knot. "ming" is the a program which will try to find the minimal energy by pushing the knot along the direction of its "energy gradient".

A Knot Theory Primer

• Daemen College
• Delta College
• Eastern New Mexico University
• Eastern Washington University
• Elon College

Journal for Research in Mathematics Education

The Journal for Research in Mathematics Education, an official journal of the National Council of Teachers of Mathematics, is devoted to the interests of teachers of mathematics and mathematics education at all levels--preschool through adult. The JRME is a forum for disciplined inquiry into the teaching and learning of mathematics. It encourages the submission of a variety of high-quality manuscripts: reports of research, including experiments, case studies, surveys, philosophical studies; articles about research, including literature reviews and theoretical analyses; brief reports of research; critiques of articles and books; and brief commentaries on issues pertaining to research.

• Anoka-Ramsey Community College
  • MinnMATYC - Minnesota Mathematical Association of Two-year Colleges
• Eastern Michigan University
• St. Anselm College
• SUNY at Oneonta
• Utah State University

The Vector Cross Product - A JAVA Interactive Tutorial

This JAVA applet lets the user explore the cross product of two vectors when one of the vectors is changed.

• California State University, Dominguez Hills
  • Center for Mathematics and Science Education
• California University of Pennsylvania
• Canisius College
• Carson-Newman College
• Central Methodist College
• City College of San Francisco
• Cleveland State University
• College of Marin
• Colorado College
• Community College of Southern Nevada
• Cypress College
• Richland Community College
  • Illinois Mathematics Association of Community Colleges

Interactive Mathematics

INTERACTIVE MATHEMATICS is a new series of college-level, interactive multimedia courses being developed by Academic Systems in collaboration with faculty from colleges and universities around the country. Interactive Mathematics is also the first series of courses that take advantage of an advanced computer-mediated instructional approach, called Mediated Learning, which provides a faculty-guided, learner-centered environment for improving student academic achievement. Each course in the Interactive Mathematics series provides comprehensive mathematics instruction using an engaging and challenging interactive multimedia environment.

Solutions

Solutions is a symbolic mathematics software built for engineers and scientists. Solutions will provide you with 20 classes of functions from Algebra to Statistics. It will plot and print your work. You can even program it if you need more power!

William K. Bradford Publishing Company, Inc

This page is the Mathematics section of the On-Line K-12 Software Catalog which an extensive listing of the publisher's offerings for all levels from elementary schools through AP calculus.

Java Geometry Explorer

This is the first of a promised K-12 Educational Series programmed by Cliff Pickover to simulate students and teachers of art and math. This JAVA applet draws the locus of points obtained by moving a chord around a circle. Other similar pictures are also drawn depending upon the input of the reader.

• Blue Mountain Community College
• British Columbia Institute of Technology
  • Math Software
• Brock University
• Brooklyn College
  • Graduate Program
• Bryn Mawr College
• Butler University

New Page!

Broderbund Software, Inc.

The above-mentioned page is a link to the "Kids' software" products. The software titles are sorted by various categories, one of which is mathematics. Two of the packages listed are James Discovers Math and Math Workshop.

• Air Force Institute of Technology
• Albion College
• Alma College
• Alvin Community College
• Arkansas State University
  • The Nine Point Circle
  • Trigonometry and Music
  • Wallis's Product
• Arkansas Tech University
• Armstrong State College
• Ashland University
• Augustana College, Sioux Falls, SD

Vladimir Podnos has upgraded his MSDOS field simulation package QuickField(TM), formerly known as ELCUT.

Euler's Formula: V-E+F=2 - Ten Proofs

This page lists proofs of the Euler formula: for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges. Symbolically F-E+F=2.

Amos

Amos implements the general approach to data analysis known as structural modeling, analysis of covariance structures, or causal modeling. This approach includes as special cases many well known conventional techniques, including the general linear model and common factor analysis.

KASH

KANT is a software package for mathematicians interested in algebraic number theory. For those KANT is a tool for sophisticated computations in number fields. With Kash you are able to use the powerful KANT V4 functions within a shell and you don't need to know anything at all about programming in C. The main features of the current release are: computations in number fields, ideals in number fields, relative extensions of number fields, lattices.

SpaceStat

SpaceStat, a software program for the analysis of spatial data, originally developed by National Center for Geographic Information and Analysis, at the University of California, Santa Barbara, is now available from the Regional Research Institute at West Virginia University.

Tera Analysis Co.

The chief product of Tera Analysis is QuickField - a PC-oriented Computer Aided Engineering (CAE) package for design of Electro-Mechanical devices. With QuickField's multi-disciplinary analysis capabilities, you can optimize electrical, thermal and mechanical features of your designs, all within one package! In addition, the results of different finite element analyses can easily be linked together which makes it ideal for simulating multi-field coupling effects. A shareware version of QuickField is available from the Mathematics Archives.

WesVarPC

WesVarPC is a software package that computes estimates and replicate variance estimates for data collected using complex sampling and estimation procedures.

The Bernoulli Society for Mathematical Statistics and Probability

The Bernoulli Society was founded in 1973. It is an autonomous section of the International Statistical Institute, ISI. According to its statutes, the object of the Bernoulli Society is the advancement, through international contacts, of the sciences of probability (including the theory of stochastic processes) and mathematical statistics and of their applications to all those aspects of human endeavour which are directed towards the increase of natural knowledge and the welfare of mankind.

Chaos and Fractals

CeVis is well known for its many documents concerning Chaos Theory and Fractal Geometry. Several books are available which offer an easy-to-understand introduction to these topics. Besides that, there are several video films available, which are entirely computer generated (e.g. "Fraktale in Filmen und Gesprächen").

• The Mathematics of Fermat's Last Theorem
  A whirlwind tour of number theory and related mathematical fields that are relevant to FLT and the concepts that have turned out to be fundamental to its proof.

The following link was added to the Mathematics Archives' page on Lessons, Tutorials and Lecture Notes:

MultiMedia Statistics Page

The purpose of this page is to illustrate some statistical concepts using QuickTime movies.

Association of Christians in the Mathematical Sciences

• Bibliography of Christianity and Mathematics

LMS Undergraduate Project Archive is a site established by the London Math. Society to make available to hard-pressed academics a good stock of topics for undergraduate project work that have been used successfully in other institutions. Ideally this would mean, for each project, a clear description of the work involved in the project, a good set of appropriate references and some indication of the length, level and prerequisites of the project.

Dansk Matematisk Forening (Danish Mathematical Society)

Dansk Matematisk Forening was founded in 1873 with the purpose of acting for the benefit of mathematics in science and education.

xwb : X-Workbench

The program xwb was designed by M. Arbesmeier. xwb is an educational tool for teaching and experimenting with multigrid algorithms. It features a powerful graphical user interface (based on InterViews (177kB compressed Postscript) and Unidraw) with the possibility to manipulate the algorithms interactively.

QMG: mesh generation and related software

The QMG package does finite element mesh generation in two and three dimensions. The package includes geometric modeling software, the mesh generator itself, and a finite element solver. The software is written primarily in C++ and matlab.

The Multigrid Workbench

This version of the multigrid workbench is a WWW resource providing information about multigrid methods. The workbench teaches the basic principles of multigrid by explaining the steps of a prototype multigrid method giving graphical representations of all intermediate results. The workbench can be used for a self-guided tour through multigrid, but it may also contain useful information for instructors looking for material to use in mathematics or science courses.

Cabri-géomètre

Cabri-geometry is the product of research activity at the Université Joseph Fourier de Grenoble and at CNRS, in the laboratoire de Structures Discrètes et de Didactique. From the Mathematics Archives pages on Cabri-geometry: Cabri-geometre is an Interactive Notebook to Teach and Learn Geometry. With this package, you perform ruler-compass constructions and then pose questions. You can ask whether lines are parallel or perpendicular. You can compare measures of objects (area, length, angular measurement). An especially nice feature is the ability to move points used as references in constructions and the figure changes appropriately. With this you can examine the trace of a point to find the locus of points, say equidistant from a given point and a given line.

CABRI GEOMETRY II

The interactive software for Geometry - Alter geometric figures on the screen. Students can see patterns, make conjectures, and draw their own conclusions. Discover geometric dependencies in the figures students construct. Display the equations of basic geometric objects including lines, circles, ellipses, and coordinates of points.

John Conway's Game of Life - Patterns, Programs, and Links

A page of odds and ends about Conway's Game of Life. This page now contains descriptions of files which are made available for ftp, links to Life resources available elsewhere on the Internet, new results and patterns not archived elsewhere, and a browsable hypertext catalog of Alan Hensel's archive of Life patterns, including a hypertext version of his Life glossary. All the patterns except those in the glossary are Java-animated.

New Mexico State University

• Projects and themes in calculus, discrete mathematics and linear algebra
• From Projects to Themes: The Evolution of Calculus Classes at New Mexico State University
• Teaching With Original Sources

Pentominoes

Learn about pentominoes and the patterns they create and what pentominoes have to do with Escher, Penrose, Logic,Impossible Objects, Mathematics and Art.

• SYNODE Project maintains two bibliographies: Geometric Integration and Symplectic Integration.

Animated Drumheads!

These are animations of a two dimensional vibrating circular membrane (I prefer just "drumhead", actually). The equation is a standard problem in partial differential equations, and I have used these animations to successfully (I think) explain atomic orbitals.

Fermat Project

Images used in a popularized introduction to Fermat's Last Theorem, a famous recently solved problem in number theory. Three dimensional mathematical depictions are used in the beginning of the film to illustrate the meaning of the mathematical ideas involved. The second half of the film makes a transition to show a remarkable family of four dimensional surfaces related to Fermat's theorem, and projects them to three dimensions for display using standard rendering and shading techniques.

Fluid.Dynamics Project

Images from an animation which was created by Thierry Dubois and Jacques Laminie of the Institute for Scientific Computing and Applied Mathematics at Indiana University using AVS on fluid dynamics computations and was recorded to video tape at CICA. The flow considered here is a two-dimensional homogeneous flow where the governing equations are the Navier-Stokes equations, supplemented with periodic boundary conditions in both spatial directions.

4Dice Project Movies

An MPEG movie of the 4Dice animation from the Center for Innovative Computer Applications. A glimpse into the fourth dimenion depicting a four-dimensional die with its 3D faces and dots.

Hyperbolic Motion, Fractal Octupus, etc.

MPEG animations by Yoshiaki Araki.

cGOP

cGOP is a package for rigorously solving nonconvex optimization problems to epsilon-global optimality. The package implements the GOP algorithm (Floudas and Visweswaran, 1993) which is a primal-dual decomposition algorithm applicable to general constrained biconvex problems, using a set of C subroutines to solve these problems using decomposition and branch-and-bound techniques.

Poliplus Software

Poliplus Software is a Canadian company specializing in Applied Computer Algebra and Geometry. It is the publisher of two packages : Formulae 1, which is a powerful, yet very easy to use Computer Algebra System (CAS) designed specifically for the teaching and exploration of mathematics and Euclid which provides functionality similar to that of Cabri II Geometry and uses the same symbolic engine as Formulae 1, thereby allowing new features to be designed based on Symbolic Computation.

Educational Standards and Curriculum Frameworks for Math

Developing Educational Standards is an annotated list of Internet sites with K-12 educational standards and curriculum frameworks documents, maintained by Charles Hill and the Putnam Valley Schools in New York.

The Math Tutor

This is Calgary's Math Tutor. We are still under construction, but the long term plan is to develop a site that contains thousands of worked out examples taken from student queries. Each will be catagorized according to grade level and topic. Since Calgary's Math Tutor is just going online many of the links you see are non-functional, or lead to small numbers of examples. You can change this! Online queries are free! Response times can not be fully guaranteed, but we expect 24 hrs will be the usual turn around time.

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