What's New on the Mathematics Archives --- February 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 February, 1996.

Consiglio Nazionale delle Ricerche - Istituto per le Applicazioni della Matematica e dell'Informatica

The George Washington University Summer Program for Women in Mathematics (SPWM) is a four-week intensive program for mathematically talented undergraduate women who are completing their junior year and may be contemplating graduate study in the mathematical sciences. The goals of this program are to communicate an enthusiasm for mathematics, to develop research skills, to cultivate mathematical self-confidence and independence, and to promote success in graduate school.

ArtMath Transformations

Art often involves symmetry, and no artist shows this more than M. C. Escher. The resources linked to this page are intended for a Standards based project covering the Transformational Geometry units in Newfoundland's grade 9 and 10 curricula, and Unit 3 of the Standards' Core Curriculum for Year 2. Student worksheets, materials, links to Internet resources, and a teacher's guide are included.

E-MAIL MATH

Email math involves using the electronic mail service of the internet in order to exchange math story problems with other math classes in Canada or around the world.

Skymath National Weather Report Module

This is an overview of a unit in which students produce a national weather report and a report on their understanding of the phenomena under study. It is a highly condensed description. This unit focuses on the display and making sense of numerical and graphical data, discerning patterns, making conjectures based on the analysis of data, and the analysis of data sets with more than one variable. It introduces some fundamental concepts of statistics and a variety of statistical formats for displaying data. It builds extensively on measurement skills and the use of scales and symbol systems and provides opportunities for computation and use of calculators. Throughout the unit, students are engaged in mathematical reasoning, problem-solving, and communicating about mathematics.

Computers & Maths Teaching

This web site (in Canberra, Australia) is used to publish some of the worksheets, spreadsheets and assessment items that Peter Hobson has written over recent years. These worksheets use computers to assist in teaching sections from the Senior Secondary Maths Curriculum - year 11 & 12 students. The majority of these worksheets deal with the function sketching sections in their curriculum, and they are designed to allow the students to learn their basic shapes, translation techniques etc. from the computer rather than the blackboard. The software we use is shareware downloaded from the internet.

A list of Tentative 1996 REU Sites has been posted at Hope College.

Spirograph

A Spirograph is formed by rolling a circle inside or outside of another circle with a pen which is placed at any point on the rolling circle. This is an interactive page which draws spirographs. You will need a browser which supports JAVA to use this page.

Finite Rank Torsion Free Modules Over Dedekind Domains

LabNet

LabNet is an electronic community for science and math teachers. LabNet provides an electronic meeting place in which teachers can support each other in experimenting with new teaching strategies, reflect on their teaching experiences, problem-solve, share resources, build collegial connections with their peers, and take part in professional development. LabNet is dedicated to actively supporting and encouraging inquiry-oriented, project-based learning.

Provalis Research

Inexpensive, easy, yet powerful statistical solutions for research and teaching. Publishers of statistical packages: SIMSTAT, MVSP, STATITEM, EASY FACTOR ANALYSIS, etc.

• NSF-Sponsored Calculus Reform Institute, Sam Houston State University.

INPUT in Mathematics Service Courses

This WEB page is presented by Central Michigan University and partially funded by an Annenberg/CPB grant. The goal of this page is to provide an information forum specifically for instructors interested in Technological and Innovative reform in Mathematics Service Courses. INPUT stands for Inovative Programs Using Technology.

Center for Innovation in Education

The Center for Innovation in Education was founded by Mary and Bob Baratta-Lorton as a nonprofit educational organization dedicated to developing, evaluating, and furthering the use of innovative methods, materials, and programs in grades K-7.

CRC Press/Lewis Publishers - Mathematics Collection

Also check out information on interactive technical reference tools.

Dynamical Systems and Fractals Lecture Notes, David J. Wright.

GeoMAMOS

GeoMAMOS, an abbreviation for GEometric Object MAnipulation/MOnitoring System, is an X-windows based integrated environment to support geometric programming. The system is designed for manipulation and monitoring of geometric objects based on prespecified instructions during or after the execution of geometric algorithms.

AHPCRC Internship Program: The primary objective of this internship program funded by the National Science Foundation is to promote undergraduate research in high performance computing (HPC) in fluid dynamics, including parallel computing and advanced visualization techniques. The projects are supervised by faculty in aerospace engineering and mechanics, chemical engineering and materials science, and computer science. It is also the objective of this program to encourage the participants to pursue graduate studies in HPC and its applications in engineering and sciences.

VORAPP-L

Voronoi and Computational Geometry Applications.

• REFORM OF BUSINESS CALCULUS, The University of Nevada, Reno

AMPL

AMPL is a comprehensive and powerful algebraic modeling language for linear and nonlinear optimization problems, in discrete or continuous variables. Developed at AT&T Bell Laboratories, AMPL lets you use common notation and familiar concepts to formulate optimization models and examine solutions, while the computer manages communication with an appropriate solver.

Compass Modeling Solutions, Inc.

A provider of mathematical programming software tools, technical support and quantitative management consulting.

OSL - The IBM Optimization Subroutine Library

OSL is IBM's library of high-performance optimization subroutines for linear, mixed integer and quadratic programming, supported on multiple hardware platforms, from PCs, to workstations, to supercomputers such as the SP2.

Australian Society For Operations Research

ASOR serves the professional needs of OR analysts, managers, students and educators by publishing a National Bulletin and National and Chapter Newsletters. The society also serves as a focal point for operations researchers to communicate with each other and to reach out to other professional societies.

Operational Research Society of New Zealand

he Operational Research Society is a nationwide body comprising of academics and public servants, consultants and people in industry. The Operational Research Society exists to promote Operational Research and Management Science in New Zealand in both academic and industrial aspects.

Lefschetz Center for Dynamical Systems

The Lefschetz Center for Dynamical Systems is one of the leading groups in dynamical systems and control theory. Current members are from the Applied Mathematics, Mathematics and Engineering Departments. The research topics of current interest are largely in dynamical systems, partial differential equations and stochastic control theory and applications.

Abacus

Abacus is the publisher of StatView which features fully integrated statistics, data mangement, graphing and presentation tools and SuperANOVA which combines powerful GLM techniques (ANOVA, ANCOVA, MANOVA, MANCOVA, repeated measures, regression, and more), and full presentation graphing features.

Data Desk

Data Desk is an interactive data analysis and statistics package that is designed to help you to better understand your data. The program is based on the philosophy of Exploratory Data Analysis, emphasizing visual, interactive tools for finding patterns, trends, subgroups and outliers. The program includes a comprehensive suite of statistics procedures, including summary statistics, hypothesis tests, correlation, nonparametric tests, contingency tables, cluster analysis, principal components, simple, multiple, nonlinear and logistic regression and a complete General Linear Model.

Jandel Scientific Software

Jandel Scientific Software is the publisher of presentation and data analysis software including SigmaPlot, the statistical package SigmaStat, curve fitting software TableCurve 2D, etc.

MathMaker Fonts

Fonts developed by Mountain Lake Software, Inc. for mathematical symbols to be used on macintosh computers.

American Mathematics Competitions

The American Mathematics Competitions (AMC) seek to increase interest in mathematics and to develop problem solving ability through a series of friendly mathematics competitions for junior/middle and senior high school students (grades 7 through 12).

Universal Technical Systems, Inc.

Universal Technical Systems, Inc. (UTS) is the developer of the TK Solver mathematical modeling and problem solving software program. UTS also offers a family of TK-based applications for engineering and finance. They also specialize in providing an extensive line of software for the design and analysis of gears. In addition to these commercially available programs, UTS offers a variety of technical programming and consulting services.

The Diet Problem

The goal of the diet problem is to find the cheapest combination of foods that will satisfy all the daily nutritional requirements of a person. The problem is formulated as a linear program where the objective is to minimize cost and meet constraints which require that nutritional needs be satisfied. We include constraints that regulate the number of calories and amounts of vitamins, minerals, fats, sodium and cholesterol in the diet. The diet problem case study is part of the NEOS Guide, an online book about optimization. The Optimization Technology Center (Argonne National Lab and Northwestern University) seeks to make optimization information available through the NEOS Guide and the NEOS Server.

System Dynamics in Education Project

The goal of the System Dynamics in Education Project is to develop classroom projects, complete with modeling software examples when applicable, that might assist a teacher and the students in making the educational challenge easier and more meaningful.

Madonna

Fast & Easy Modeling and Analysis of Dynamic Systems. Madonna was developed at the University of California, Berkeley, for teaching and research. It has been tested for 5 years in classroom and laboratories. Originally developed as a way to import Stella equations and run them fast, it evolved into a general purpose simulation package.

Stella

STELLA II-is a powerful and flexible package for building and simulating models of dynamic systems and processes. Using a simple set of building block icons, you can construct a map of a process or issue of any kind. The diagram automatically generates equations, used for simulation, allowing you to bring your map to life. Output can be viewed as graphs, tables, diagram animation or QuickTime movies.

The following links were added to the Mathematics Archives' listing of Mathematics Institutes, Centers and Laboratories:

Institut für Experimentelle Mathematik (IEM)

Interuniversity Centre for Game Theory and Applications

The Institute of Statistical Mathematics

The Institute of Statistical Mathematics (ISM) is a research institute of the Ministry of Education, Science and Culture. Founded in 1944, it has been functioning as an organization for research of theory and application of statistics, as well as for effective communication among researchers in the related fields.

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Number-Theoretic Hacks

David Eppstein has implemented a number of simple number-theoretic algorithms for his own amusement, and provide them here on the net. Topics include Egyptian Fractions, J.H.Conway's "nimber" arithmetic, C++ fast algorithm for computing 2-adic inverse, C program for rational approximation of real numbers, etc.

Some numbers from Robert Joseph Harley

Includes the only known factor of the generalized Fermat number 10^1024+1, some small prime factors of googolplex+1, information on twin primes, sums-of-inverses-of-primes, etc.

AN OUTLINE OF THE HISTORY OF GAME THEORY

Very nice History of Game Theory written up by Paul Walker, Drexel University, for an honors colloquium on game theory. Includes a bibliography.

Queens on a Chessboard

The Queens Problem is that of positioning queens on an otherwise empty chessboard so that no queen is under attack by another.

• Queens on a Chessboard: Making the Best of a Bad Situation by Timothy J. Rolfe.
• NON-Dominating Queens Problem by Mario Velucchi. Check out Mario's page which contains a lot more information on Chess and Mathematics.

Israel Mathematical Union

The Israel Mathematical Union is the professional association of mathematicians in Israel, which works actively to encourage advanced mathematical research and teaching.

The Mathematics Learning Forums

Become a part of a growing, nationwide community of educators interested in mathematics reform and the standards of the National Council of Teachers of Mathematics (NCTM). The Mathematics Learning Forums provide a unique experience for elementary and middle school teachers to reflect on and refine their mathematics teaching practices through on-line seminars.

The New Jersey Mathematics Coalition Home Page

The New Jersey Mathematics Coalition was created to facilitate and encourage improvement in the teaching and learning of mathematics as recommended in national reports including the Curriculum and Evaluation Standards for School Mathematics and Professional Standards for Teaching Mathematics of the National Council of Teachers of Mathematics, collectively referred to as the Standards, and Everybody Counts and Counting on You of the Mathematical Sciences Education Board and the Board on Mathematical Sciences,

The Shodor Education Foundation, Inc.

The Shodor Education Foundation, Inc. is a non-profit education and research corporation dedicated to reform and improvement of mathematics and science education by appropriate incorporation of computational and communication technologies. Beginning in 1989 as the Shodor Education Trust, and since its incorporation as a public 501(c)(3) foundation, the focus has been to identify specific needs in the education reform movement that can be addressed by modeling and simulation technologies.

• Edward R. Scheinerman

Chaos analysis software

This page contains information about software written by Michael Banbrook which can perform the following tasks: Time series embedding, Singular Value Decompositon embedding, Lyapunov exponents (FULL spectrum with noise robustness), Poincare sections, Local singular value decomposition analysis.

Cartan

CARTAN is a tensor component package for interactive tensor calculations in general Riemann-Cartan spaces of arbitrary dimensions and signatures.

Diffpack

The goal of the Diffpack project is to develop a fully object-oriented framework for solution of partial differential equations.

GRTensor

GRTensor is a computer algebra package for doing calculations of interest primarily to relativists. GRTensor runs on any platform which supports MapleV Releases 2 and 3.

Laurens Lapre's Lparser Links

Contains links to various sites featuring L-systems and contains images generated by the author's software package which is available from this page.

L-System Plant Geometry Generator

This is a presentation of Hung-Wen Chen's Master Project on L-systems.

• Research Conference in Collegiate Mathematics Education

ODE Solver: Numerical Procedures for Ordinary Differential Equations

Package developed by William Rundell and Thomas Kiffe to solve initial and boundary value problems for ODE. Available for both MSDOS and macintosh computers.

Scientific Word and Scientific WorkPlace

XPP-Aut

XPP is an X-windows program which can handle Differential equations, Delay equations, Volterra integral equations, Discrete dynamical systems, Markov processes, and Bifurcation.

When does 1 = 2?

Here are some examples from the newsgroup sci.math.

XOX Corporation

SHAPES is a revolutionary software tool that uniquely satisfies the geometry requirements of applications that span many industries. These include finite element analysis, mechanical design, geophysical analysis, animation, and medical imaging.

The Academy One Curriculum Exchange

The Curriculum Exchange is an area where teachers can deposit their favorite lesson plans and teachers, parents, and students can get what they want. The original group of lesson plans came from the Columbia Education Center's Summer Workshops. The lessons plans for mathematics are organized into Elementary (K-5), Intermediate (6-8) and High School (9-12).

Dave's Math Tables

What is the volume of a sphere? the integral of tan(x)? Many formulas from algebra, geometry, trigonometry, calculus, etc. are contained here.

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