Math Archives Homepage
What's New on the Math Archives
September 2001
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 September, 2001.

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The following link was added to the Linear Algebra page from the Math Archives' Topics in Mathematics:
  • Linear Algebra - An Introduction to Linear Algebra for Pre-Calculus Students
    ADD. KEYWORDS: Book, Addition of Matrices, Multiplication of Matrices, Equations, Determinants, Expansions by Minors, Using Gaussian Eleminations, Inverses and Solutions to Systems, Consistent and Inconsistent Systems, Markov Chains, Least Squares Approximation, Proof of Normal Equations, Eigenvalues and Eigenvectors, Numerical Challenges
    SOURCE: Tamara Anthony Carter, University of North Texas, Richard A. Tapia and Anne Papakonstantinou, Rice University

The following link was added to the Mathematical Biology page from the Math Archives' Topics in Mathematics:
  • Stochastic Spatial Models: A Hyper-Tutorial
    ADD. KEYWORDS: Continuous time Markov chains, Genetics: Voter Models, Growth Models, Multitype Models, Attracting Fixed Point, Bistability, Cyclic Systems, Competition of species, Predator-prey system
    SOURCE: Ted Cox and Rick Durrett, Syracuse University
    TECHNOLOGY: Software: Stochastic Spatial Simulator, s3

The following link was added to the Numerical Analysis page from the Math Archives' Topics in Mathematics:
  • Random Walks, Markov Chains and the Monte Carlo Method
    ADD. KEYWORDS: Linear Congruential Generators, R250, Quasi-Random Numbers, NonUniform Distributions, Monte Carlo Integration, Differential Equations, Markov chains
    SOURCE: Dr. Everett F. Carter Jr., Taygeta Scientific Inc.

The following link was added to the Probability page from the Math Archives' Topics in Mathematics:
  • Markov Chains
    ADD. KEYWORDS: Book, Hitting times and absorption probabilities, Invariant distributions, Convergence to equilibrium, Poisson processes, Forward and backward equations, Martingales, Markov chain Monte Carlo
    SOURCE: J. R. Norris, University of Cambridge
    TECHNOLOGY: Postscript reader

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The following link was added to the Applied Mathematics and Multivariable Calculus pages from the Math Archives' Topics in Mathematics:
  • Maxwell's Equations
    ADD. KEYWORDS: Lecture Notes
    SOURCE: Daniel Bump, Stanford University
    TECHNOLOGY: Postscript reader

The following link was added to the Multivariable Calculus page from the Math Archives' Topics in Mathematics:
  • Calculus III
    ADD. KEYWORDS:
    Course Materials, Plane curves and parametric equations, Polar graphs, Area and arc length, Vectors and vector operations, Vector - valued functions, Tangents, normals, arc length and curvature, Space vectors and operations, Lines and planes in space, Surfaces in space, Curves and vector - valued functions in space, Level curves, limits of f( x, y ), Partial derivatives and total differential, Directional derivative and gradient, Tangent planes, normal lines, extrema, Iterated integrals - areas and volumes, Polar coordinates, Center of mass, surface areas, Triple integrals ,cylindrical and spherical coord., Vector fields and Work, Line integrals and Green's Theorem
    SOURCE: Richard Burns, Springfield Technical Community College
    TECHNOLOGY: Mathematica

The following link was added to the Ordinary Differential Equations page from the Math Archives' Topics in Mathematics:
  • Differential Equations
    ADD. KEYWORDS: Course Materials, Separable Variables, Exact Equations, Linear Equations, Homogeneous Equations, Applications, Logistics Functions, Homogeneous and non-homogeneous, Differential Operator and annihilators, Spring/mass systems, Numeric methods, Laplace transform, Inverse Transform, Systems of Differential Equations
    SOURCE: Richard Burns, Springfield Technical Community College
    TECHNOLOGY: Mathematica, Java Applet

The following links were added to the Math Archives' listing of Mathematics Contests, Competitions, and Problem Sets:

  • Harvard-MIT Math Tournament
    The Harvard-MIT Math Tournament is an annual math tournament for high school students, held in alternating years at MIT and at Harvard. It is run by MIT and Harvard students who participated in math contests in high school, so try to incorporate what we liked best about math contests when we were in high school.
  • Rice University Mathematics Tournament
    The Rice University Mathematics Tournament is an annual event for high school students and teams from schools in the Texas/Louisiana area. Organized by Rice undergraduate students, the Rice Mathematics Tournament has been held almost every year at the Rice University campus in Houston since 1981. The contest includes individual written tests as well as group events.
  • Stanford Math Tournament
    This contest brings together students from the greater Bay Area for a day of challenging problems and mathematical fellowship. The tournament is composed of four subject area tests (algebra, geometry, advanced topics, and calculus), a general test, and a team test.

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The following link was added to the Calculus page from the Math Archives' Topics in Mathematics:
The following link was added to the Multivariable Calculus page from the Math Archives' Topics in Mathematics:
  • Multivariable Calculus Online
    ADD. KEYWORDS: Online textbook, Vector-Valued Functions, Partial Differentiation, Surfaces and Transformations, Multiple Integrals, Fundamental Theorems, Capstone: The Inverse
    Square Law
    SOURCE: Jeff Knisley, East Tennessee State University
    TECHNOLOGY: Maple

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The following link was added to the Precalculus page from the Math Archives' Topics in Mathematics:
  • Precalculus and Mathematica
    ADD. KEYWORDS: Mathematica labs and exams
    SOURCE: Donald G. Hazlewood, Southwest Texas State University
    TECHNOLOGY:Adobe Acrobat Reader and Mathematica

The following link was added to the Math Archives' listing of K-12 Teaching Materials:

Math Magazines
This site from Southwest Texas State University contains copies of two math magazines: Math Reader that is targeted for elementary students from grade 3 to 5 and Math Explorer that is targeted for students from grade 6 to 9.

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The following link was added to the Abstract Algebra page from the Math Archives' Topics in Mathematics:
  • Moduli Spaces in Algebraic Geometry
    ADD. KEYWORDS: Lecture Notes, Moduli of Principal G-Bundles Over Algebraic Curves, Hilbert Schemes of Points and Heisenberg Algebras, Donaldson Invariants in Algebraic Geometry, Holomorphic Bundles Over Elliptic Manifolds, Degenerations of the Moduli Spaces of Vector Bundles on Curves, A Minicourse on Moduli of Curves, Moduli of Riemann Surfaces, Transcendental Aspects, Arithmetic Fundamental Groups and Moduli of Curves
    SOURCE: L. Goettsche (editor), The Abdus Salam International Centre for Theoretical Physics
    TECHNOLOGY: Postscript and Adobe Acrobat readers

The following link was added to the Applied Mathematics page from the Math Archives' Topics in Mathematics:
The following link was added to the Differential Geometry page from the Math Archives' Topics in Mathematics:
  • Introduction to Tensor Calculus and Continuum Mechanics
    ADD. KEYWORDS: Book, Tensor Calculus, Derivative of a Tensor, Differential Geometry and Relativity, Dynamics, Basic Equations of Continuum Mechanics, Electric and Magnetic Fields
    SOURCE: John H. Heinbockel, Old Dominion University
    TECHNOLOGY: Postscript and Adobe Acrobat readers

The following link was added to the Logic & Set Theory page from the Math Archives' Topics in Mathematics:
  • A Problem Course in Mathematical Logic
    ADD. KEYWORDS: Text, Language, Truth Assignments, Deductions, Soundness and Completeness, First-Order Logic, Structures and Models, Deductions, Soundness and Completeness, Applications of Compactness, Turing Machines, Variations and Simulations, Universal Turing Machines and the Halting Problem, Computable and Non-Computable Functions, Primitive Recursive Functions, Recursive Functions, Incompleteness, Preliminaries, Coding First-Order Logic, Defining Recursive Functions In Arithmetic, The Incompleteness Theorem
    SOURCE: Stefan Bilaniuk, Trent University
    TECHNOLOGY: Adobe Acrobat, Postscript and DVI readers

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The following links were added to the Geometry page from the Math Archives' Topics in Mathematics:
  • The Peanut Software Database Project
    ADD. KEYWORDS: Lab materials, Inscribed Circles, Centroid, Triangles, Exterior Angle, Similarity, Circle Geometry with WinGeom, WinGeom Exercises on Angles, WinGeom Lab Manual
    SOURCE: Meighan I. Dillon, et al., Southern Polytechnic State University
    TECHNOLOGY: WinGeom (Peanut Software), Word, Adobe Acrobat reader
  • Tiling - Plane & Fancy
    ADD. KEYWORDS: The 17 wallpaper groups, Tiling and Patterns from Historical Sources, Tiling arranged by Symmetry group, References,| Open questions, Pythagorean Theorem, Color Tiling
    SOURCE: Steve Edwards, Southern Polytechnic State University

The following link was added to the Statistics page from the Math Archives' Topics in Mathematics:
  • Java Applets for Statistics
    ADD. KEYWORDS: The sample space model, Calculator(mean and deviation), Multiplication rule for counting, Permutations and Combinations, Tossing a balanced coin n times, Tossing a coin with p=P(H), Rolling a pair of dice, Venn diagram(Addition Rule), Rolling a balanced die n times, Binomial distribution, Conditional Probability, Total Probability and Bayes Rule, Normal curve, Standard Normal Distribution, Normal approximation to Binomial Distribution
    SOURCE: Shangrong Deng, Southern Polytechnic State University
    TECHNOLOGY: Java applets

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The following link was added to the Algebra page from the Math Archives' Topics in Mathematics:
  • Roots
    ADD. KEYWORDS: Roots of complex numbers
    SOURCE: Jerzy Kocik, Southern Illinois University
    TECHNOLOGY: Java applet

The following link was added to the Discrete Mathematics page from the Math Archives' Topics in Mathematics:
  • Graphs we live by
    ADD. KEYWORDS: Grötzsch, Heawood, Herschel, Kuratowski, Petersen, Astrologer's graph, Sefirot, Tetraktys, Cosmos, Hampton Court, Alchemy, Cosmic map, Platonic graphs, n-cube, Octonions, ETS, Dynkin diagrams
    SOURCE: Jerzy Kocik, Southern Illinois University