 Examination Papers  University of Cambridge
Download PDF and PostScript files of Cambridge's mathematical tripos examination papers from the past decade. See also the exam papers from Natural Sciences Tripos (NST) and Part III (postgraduate).
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 Example Problems.com  Todd Smith
This site is an opencommunity collection of math problems and full solutions for every area of math from Algebra through graduate level partial differential equations, optics, and special functions. The code used on the site's wiki is the same as TeX.
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 Examples of Essays  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Extended Concurrencies of the Triangle, J. Wilson; Parabolas Inscribed in a Triangle, G. Giddings; Polygonal Spirals, L. Shook and M. Callinan; Roots 2 and 5, J. Wilson; Those Amazing Palindromes, Shareef Bacchus; Tangrams, Greg Huberty; Phi: That Golden
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 ExamSolutions
ExamSolutions.co.uk is designed to help revision for maths A level. It contains questions, answers and worked solutions to past exam papers from Edexcel, OCR and AQA exam boards, all in PDF format. Some are free.
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 Excel Everywhere.com  Framtidsforum I&M AB
Automatically converts a spreadsheet into a goodlooking and calculating web page. It can be used to present mathematics on the web, and for creating selfcorrecting tests. Teachers can get free licenses for student projects, so that these can be presented
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 Excel Models Blog  Jess
Blog about the use of Excel to analyze realworld problems mathematically. Posts, which date back to October, 2011, have included "Simple Excel Sales Dashboard," "Tutorial Using Concatenate Function In Excel," "Teacher Grade Book," "Buying House To Rent,"
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 Excel's Solver and Premium Solver Platforms  Frontline Systems, Inc.
A resource for users of spreadsheets, optimization, and other mathematical software. Solver.com's free support information for the standard Excel Solver is more extensive than Microsoft's own site for Excel. Includes a Solver Tutorial and a set of powerful,
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 Exercices on Mathematics  Luis Breda
Online math drills in English and Portuguese: lines, fractions, points and vectors, powers and radicals, firstdegree equations, seconddegree functions, trigonometry, circles, and derivatives.
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 Exercises in Imagination (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
How do you imagine geometric figures in your head? Most people talk about their threedimensional imagination as 'visualization', but that isn't exactly right. A visual image is a kind of picture, and it is really twodimensional. The image you form in
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 Exercises in Math Readiness for University (EMR)  Dept. of Mathematics and Statistics, University of Saskatchewan
A collection of exercises with solutions/tutorials for high school mathematics topics important for university study in mathematics, sciences, engineering and commerce. Exercises at three degrees of difficulty, covering graphing, solving inequalities,
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 Expanding Universe: a classified search tool for amateur astronomy  Daniels, Enright, Gliddon, & SenRoy
A collection of sites organized using a modified Dewey Decimal Classification, to make searching the web more like browsing a library shelf. Includes an alphabetical terms list for searching and a request for more sites.
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 The Expected Number of Rising Sequences After a Shuffle [PDF]  Peter Doyle
A paper taking up Brad Mann's derivation of his simple expression for the expected number of rising sequences in a deck after a shuffle, which involved lengthy gymnastics with binomial coefficients. Doyle provides a short derivation. A PostScript file
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 Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces  David W. Henderson; Cornell University
A book that presents a series of problems. Most of the chapters start intuitively and are accessible to a general reader with no particular mathematics background; however, the discussions were written for mathematics majors and mathematics teachers and
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 Experimentation, Graphing, and Algebraic Derivation  R. H. Logan
A scientific graphing lesson that details the derivation of the slope intercept formula; the slopeintercept formula in Chemistry; and linear relations in Chemistry and Physics.
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 Experiments with the 3n+1 Sequence  Alfred Wasserman
An online program tests numbers for convergence under the 3n + 1 sequence. Also available in German.
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 ExperSim: Experimental Simulations  McClelland, Polson; University of Colorado
Generate simulated experimental data for four studies  Imprinting in Precocial Birds (Rajecki), The Etiology of Schizophrenia (Main), Motivational Factors in Routine Performance (Mueller), and Social Facilitation (Rajecki & HalsteadNussloch). For
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 Expert Choice
Analytic Hierarchy Process (AHP) and other decision support software for strategic planning and operations research.
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 Expert Math Tutoring in New York  Expert Tutor NY
Ivy League chemistry graduate and certified test prep course teacher offers private instruction for math at high school and college levels in metropolitan New York area  Regents, SAT, SAT II, algebra, geometry, trigonometry, calculus, precalculus.
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 Explaining Mathematics  Joel Feinstein
Ideas and praxis by a lecturer at the University of Nottingham (UK). Feinstein's blog posts, which date to December, 2008, have included "How and why we do proofs" and "Problems using LaTeX seminar class with pdflatex" and "Feedback on the use of IT in
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 The Exploratorium
Home page of San Francisco's museum of science, art and human perception. Online exhibits, cool sites, archives, sport and science, and the digital library (the Exploratorium AtoZ).
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 Exploratorium's Science of Baseball  The Exploratorium
Interactive (Shockwave) exhibits from San Francisco's science museum include Fastball Reaction Time (can you hit a 90mph fastball?) and Scientific Slugger (see what makes a home run: vary the angle of the ball, bat speed, and pitch speed, then watch
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 Exploratorium's Science of Cycling  The Exploratorium
Organized into seven sections. Introduction: What is the Science of Cycling? The wheel: Why do road bikes have thin tires, while mountain bikes have fat tires? Drives and gears: What is a gear ratio? And how do gears help make the bicycle so efficient?
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 Exploratorium's Science of Hockey  The Exploratorium
This site takes you inside the game: you'll hear from National Hockey League players and coaches, as well as leading physicists and chemists. Divided into seven main sections: the ice (why is ice slippery?), skating (what are the mechanics involved in
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 Exploratorium's Skateboard Science  The Exploratorium
Watch a webcast (RealPlayer) of professional skateboarders performing as an Exploratorium staff physicist explains the physics behind this extreme sport; also, an interview with a skateboard designer, and a Flatland Freestyle demo. "Trickscience" looks
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 ExploreLearning.com  ExploreLearning
A library of virtual manipulatives called "Gizmos", primarily for grades 312, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and collegelevel
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 Exploring Abstract Algebra with Mathematica  Kenneth M. Levasseur; Dept. of Mathematical Sciences, Univ. of Massachusetts at Lowell
An assortment of functions illustrated in Visual Mode that are available in the AbstractAlgebra Packages. Identity; Inverses; AssociativeQ; AbelianQ; CayleyTable(s); OrderOfAllElements; Commutators; GroupExponent; Dihedral; Morphoids/PreservesQ; VisualizeMorphoid;
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 Exploring Advanced Euclidean Geometry with Geometer's Sketchpad  Gerard A. Venema
A sequence of PDFs that show how to use dynamic visualization software to explore topics in collegiate Euclidean geometry. Each file is 0.2MB or smaller. The complete sequence runs 121 pages, and features a table of contents, bibliography, index, and
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 Exploring Chaos and Fractals  RMIT Publishing
An electronic textbook on CDROM which covers the subject of chaos theory and fractal geometry and includes text, worksheets, sound, video, and animation. Course material is presented with multiple entry points and themes, and can be used within a single
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 Exploring Emergence  Resnick, Silverman; Epistemology and Learning Group, Massachusetts Institute of Technology (MIT)
An active essay that uses Java applets to explore the idea of emergence, examining how objects and patterns can arise from simple interactions in ways that are surprising and counterintuitive. Examples with simple squares that turn on and off and give
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 Exploring Hyperspace with the Geometric Product  Thomas S. Briggs
This paper presents an area of higherdimensional geometry to a general audience. It also highlights areas where new discoveries could be made. This exploration encounters double prisms, the double cylinder, prism cylinder, flat torus, spherical hypercylinder,
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 Exploring Precalculus  William Mueller
A lively and intuitive introduction to precalculus. Materials center on three themes: functions, rates of change, and accumulation. Showing the subject from many angles, illustrations include algebraic, graphbased, and realworld examples, and feature
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 Exploring the Euler Gamma and Riemann Zeta Functions  Sjoerd J.Schaper
A graphic Euler gamma and Riemann zeta explorer, built around the binomial version of Peter Borwein's "An Efficient Algorithm for the Riemann Zeta Function" (1995). The program plots function values on the real line, draws Argand diagrams of the mapping
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 Exploring the Space of Cellular Automata  Langton, Hayden, Gutowitz, Carr, Fraser
Cellular automata (CA) are discrete space/time logical universes, obeying their own local physics according to given rules. Space in CA is partitioned into discrete volume elements called "cells" and time progresses in discrete steps. Each cell of space
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 Exploring Your Future in Math and Science  Andrew FrankLoron, Jennifer Handrich, ChiaChen Wu
Encouraging Women in the Sciences: the Women and Science page of the WWW. As part of the final project for a Women's Studies course at the University of WisconsinMadison, students explored reasons why women are less likely to enter professions in math
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 Exponential Sketch  Finzer, Berkelman, Bennett; Key Curriculum Press
A sketch that draws the exponential function and lets you change the base dynamically.
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 Expositions and Notes  Ben Green; Trinity College, Cambridge, UK
DVI files on topics in sieve theory and combinatorial number theory.
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 Expository Papers from the Geometry Center
Documents written at the Geometry Center that take advantage of hypertext to present information about mathematics or the Geometry Center in a style accessible to a wide audience. Engineering Education at the Geometry Center (Keynes, Wicklin); Outside
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 Expression Calculator  D. Block, Vestris, Inc.
A calculator for Windows 95/98/NT that does 2D plots and financial functions, constants, operators, logical functions, dozens of common functions, primes and hyperbolic functions, students and Gauss integrals, Fresnel, elliptic integrals, trigonometric
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 Expressionism  Aleksey Onopriyenko, MathDonalds.com
A WYSIWYG browserbased editor (MathML + JavaScript) of mathematical expressions which is also capable of rendering images (e.g. in PNG format).
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 EXTEND: Perspectives on Mathematics Education  Exxon Education Foundation
EXTEND is a national Internet forum on mathematics education intended to involve new constituencies, engage new voices, and examine new perspectives. Major topics are explored through forum reports, position papers, and reader commentary. Issues include
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 Extracts from Thomas Hirst's diary  MacTutor Math History Archives
Quotations from Thomas Hirst's journals concerning the following mathematicians: Bertrand, Boole, Brioschi, Cayley, Chasles, Chebyshev, Cremona, De Morgan, Dirichlet, Gauss, Kovalevskaya, Liouville, Maxwell, Poinsot, and Steiner.
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 Extreme Optimization: Numerical Linear Algebra Library for C# and VB.NET  Jeffrey Sax, Extreme Optimization
Objectoriented classes for linear algebra and a broad range of numerical techniques for the Microsoft .NET framework. Topics covered: solving equations, mathematical curves, approximation, numerical integration and differentiation, complex numbers.
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 Extreme Optimization Statistics Library for .NET  Jeffrey Sax, ExoAnalytics Inc.
The Extreme Optimization Statistics Library for .NET includes classes for over 20 probability distributions, random number generation, hypothesis tests, and a range of statistical models, including multiple linear regression and analysis of variance (ANOVA).
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 The Extreme Science and Engineering Discovery Environment
Supercomputers, collections of data, new tools, and other integrated advanced digital resources and services for scientific research. See, in particular, the Education and Outreach Service of the Extreme Science and Engineering Discovery Environment (XSEDE),
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 Eye Opener Series  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of Java applets that illustrate and thus help to solve or prove various math problems: Euclid's Proof of the Pythagorean Theorem; Construction problem; Disappearing Lines puzzle; Sam Loyd's fifteen; Sliders puzzle; Lucky 7 puzzle; Happy 8
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 EZ Learning Solutions
EZ Learning Solutions Study Guides are part of a family of study aids designed with a "backtobasics" approach in mind. They are intended for use by students, parents, or teachers, and should be especially useful for the new math curriculum in Ontario.
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 EZW Encoding  C. Valens
An embedded zerotree wavelet (EZW) tutorial. Contents: Introduction; EZW encoding; The zerotree; How does it work?; The algorithm; Example; Coda; Notes; References. By the author of A Really Friendly Guide to Wavelets.
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 Faces of Mathematics  Marc Atkins, Nick Gilbert; HeriotWatt University, Edinburgh
Portraits of twenty living influential mathematicians, each with a textbased display panel on the subject's research interests and personal viewpoint on mathematics and a video of the subject in conversation about their research and other mathematical
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 Faceted Objects: Tanks to Teapots  Paul Flavin
A "Tiny Library of Faceted Surfaces." Cube, Venus de Milo Statue, Utah Teapot, M1 Tank, Ludwig Beethoven, magna Girl. For each object the format, number of vertices, number of facets, geometry (shape), bytes, and filename are listed.
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 Factasia: Mathematics  Roger Bishop Jones
Math essays organized into three categories: general (threads in the web of mathematics and reuse and abstraction); real numbers (a logical development, some history, and computing with reals); and history (a short history of rigour in mathematics, classical
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