 Turn of the Screw  Ivars Peterson (MathTrek)
Mathematician Chris Rorres of Drexel University in Philadelphia has taken a close look at Vitruvius's specifications for constructing an Archimedes screw... Recent years have seen a revival of interest in the Archimedes screw, particularly for its proven,
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 Turtle Tracks  Ivars Peterson (MathTrek)
One way to describe a geometric figure is in terms of the path generated by a moving point. Using the computer language LOGO, children can produce a list of commands to govern the motion of a "turtle" and trace out a geometric track on the computer screen.
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 Tutor.com  Tutor.com, Inc.
Onetoone realtime help from professional subject experts and librarians. Students looking for homework help may check if their local library or afterschool center offers free tutor.com tutoring; try tutor.com personal online tutoring free for a week;
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 Tutor For Maths  Vikram Singh
Onetoone math tutoring, consulting, brainstorming, and editing sessions conducted online while on the phone with WhizIQ electronic whiteboard software.
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 Tutorials  Harvey Mudd College Department of Mathematics
Primers for precalculus, single variable calculus, multivariable calculus, linear algebra, and differential equations, each with proofs, examples, and key concepts highlighted, some with Mathematica plots to view in a new browser window: algebra review,
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 The Tutorials Search Engine
Searchable listings of tutorials on a variety of subjects, including mathematics.
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 TutorLinker: The Most Innovative Tutor Network  TutorLinker.com
TutorLinker uses online map system so people who are looking for local tutors can easily find their location and compare with other tutors. All services are currently free.
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 tutOR  Moshe Sniedovich and Angie Byrne
An online Operations Research (OR) tutorial system developing tutorial modules for specific OR topics, generic web tools to facilitate the construction of the OR modules, and research of the WWW technologies pertaining to this project. Modules for investigating
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 TutorNEXT  tutorNEXT, Inc.
Oneonone, individualized tutoring sessions in math and English. An enrichment program in math, and free printable math worksheets, are also available. Full listing of services on the site.
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 Tutor World Online
This online tutoring service sells homework help and SAT preparation packages. The Tutor World Online journal posts free primers in math.
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 Tversky's Legacy Revisited  Keith Devlin (Devlin's Angle)
"Amos Tversky died earlier this year. To mathematicians, the Stanfordbased psychologist is best known for the research he did with his colleague Daniel Kahneman in the early 1970s, into the way people judge probabilities and estimate likely outcomes
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 Twistors  What Are They?  Fedja Hadrovic
Notes briefly introducing the basic definitions of twistor theory, which might provide an "elegant formalism for both general relativity and quantum theory. Roger Penrose was first led to the concept of twistors in his investigation of the structure of
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 The "TwoDimensional Factorial" and a New Solution for the Probability of Completing Sets in Random Sampling  Jeffrey D. Lindsay
In finding a new solution to a classic probability problem, The Collector's Problem, concerning the collection of items in a set, a new and useful recursive function has been found, the "twodimensional factorial." A Web adaptation of J.D. Lindsay, "A
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 The TwoHeaded Quarter by Joseph Ganem  Chartley Publishing, LLC
A companion site to The TwoHeaded Quarter, written by a physicist scrutinizing daytoday financial decisions, such as "How far should you drive to buy cheaper gas?" and "Is money saved when you buy on sale?" and "How far should you drive to save money?"
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 Tying Down a Random Walk  Ivars Peterson (MathTrek)
For many men, the ordeal of fashioning a neat tie knot is fading into the distant past. It seems ironic that two physicists have now put necktie knots back on center stage. Thomas M. A. Fink and Yong Mao of the Cavendish Laboratory in Cambridge, England,
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 Types of Functions  Eger, Champaneria, Garmendia; Interactive Mathematics Online (IMO)
Definitions, plots, and examples of composite functions; even and odd functions; inverse functions; linear, quadratic, and cubic functions; monotonic functions; periodic functions. Also, Java "formulae enabled" pages.
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 Typing Math  Math Forum, Ask Dr. Math FAQ
How should I type exponents? What about square roots? Why not use tabs? May I send attachments?
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 UBC Calculus Online: Supplement to Math 100  Dept. of Mathematics, University of British Columbia, Vancouver, BC, Canada
An online supplement to mathematics courses being taught within the University of British Columbia Department of Mathematics. Course notes (functions, the Function Zoo, What is the derivative?, Tools for Calculating Derivatives; Applications of the Derivative;
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 UBC Calculus Online: Supplement to Math 101  Dept. of Mathematics, University of British Columbia, Vancouver, BC, Canada
An online supplement to mathematics courses being taught within the University of British Columbia Department of Mathematics. Course notes (Definite Integrals and the Fundamental Theorem of Calculus; Applications of the Definite Integral; Techniques for
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 UBUYACAR  Maricopa Center for Learning and Instruction
An online problembased learning manual for students that poses the question: "You are interested in purchasing a new vehicle. What should your annual salary be to afford the car you want?" Students move through a problemsolving process. A Tutor's Manual
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 UC Berkeley Mathematics Department
Department info; a collection of the Berkeley [Ph.D.] preliminary exams; undergraduate study hints and survival guide; Notherian Ring (women in mathematics at Berkeley  includes WWW sites of interest to women mathematicians or grad students); Center
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 UC Berkeley Wavelet Group  Univ. of California at Berkeley
People, papers and publications.
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 UCLA Statistics Homepage
Departmental info; paid or free consulting, tutoring; statistics preprints; theses and dissertations; UCLA statistics calculators; Journal of Statistical Software; UCLA electronic textbook; case studies and data sets; Center for Teaching Statistics; UCLAStat
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 UCLA Statistics Series: Preprints  Dept. of Statistics, University of California at Los Angeles (UCLA)
Papers on statistics that have been or will be submitted for publication.
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 UC Museum of Paleontology  University of California at Berkeley
Online exhibits, education and outreach programs, catalogs and collections, and links to other science and museum sites. Paleontology incorporates many different kinds of data from different fields. Search for type specimen data from the museum's Catalogs
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 UCSB Department of Mathematics Center for Mathematical Inquiry  Regents of the University of California
Developing "inquirybased learning approaches in the teaching of mathematics and a research base that examines teaching and learning through inquirybased practices." See past workshops, course materials for University of California Santa Barbara (UCSB)
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 UK Mirror Service  Joint Information Systems Committee, Higher Education Funding Councils, UK
Formerly HENSA, this national software archive service benefits the higher education and research community in the UK, funded by the Joint Information Systems Committee of the Higher Education Funding Councils. It maintains copies of electronic archives
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 The UK National Lottery  MerseyWorld
Using real data allows due emphasis to be given to the context and so may encourage crosscurricular links. The UK lottery site has links to many pages with varied statistical information about winning ticket numbers and prizes (see Lottery Links).
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 UltimaCalc: the Ultimate Algebraic Graphing Calculator  Anand Shraddhan
An algebraic graphing calculator for Windows that plots functions, creates charts, and calculates and displays various forms of regression. Also calculates standard deviation and related statistics, solves triangles, and finds roots of polynomials.
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 Ultimate Calculators  Graham Lancaster
Free online loan calculators, mortgage calculators (comparison calculator, basement suite calculator), investment property calculators, tax calculators, investing calculators (retirement income calculator, 401k calculator), capital budget calculators
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 Ultra Fractal  Frederik Slijkerman
A Windows shareware program that creates images of fractals, allowing you to write your own fractal formulas, coloring algorithms, and geometric transformations in a simple formula language. A layering feature lets you combine different fractals and coloring
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 Ultra Fractal Gallery  Frederik Slijkerman
A gallery of fractal images created using Ultra Fractal, a Windows shareware program.
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 ULTRALAB  Anglia Polytechnic University, U.K.
A research centre that writes software for learners of all ages and researches all aspects of the use of technology in learning. Reports, papers, and articles; 'old' software and hardware computing archive.
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 UMass Lowell WebMathematica Scripts  Kenneth M. Levasseur, Department of Mathematical Sciences, University of Massachusetts Lowell
Download Mathematica scripts. Abstract Algebra: generate Cayley tables of EAAM groups, Zn, and the ring Zn; connect the dots to visualize finite cyclic groups; polynomial extensions; and a game on finding a morphism between two groups. Modeling: exponential
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 UMI's Online Dissertation Services  Bell & Howell Information and Learning Company
UMI publishes and archives dissertations and theses; sells copies on demand; and maintains the definitive bibliographic record for over 1.4 million doctoral dissertations and master's theses. Information on preparing a dissertation for publication; finding
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 Una experiencia didáctica con CabriGeomètre: el seguimiento de trayectorias para manipuladores planos irredundantes  María José GonzálezLópez, Universidad de Cantabria,España
Una actividad geométrica consistente en realizar la simulación del movimiento de robots manipuladores planos con dos grados de libertad rotacionales y/o prismáticos, utilizando el entorno computacional CabriGéomètre.
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 Uncertain Reasoning Group  Mathematical Logic  Dept. of Mathematics, Manchester Univ., U.K.
Homepage for a research group that investigates uncertain knowledge, how to represent it, and how to reason with it intelligently. People, research topics, seminars, Web resources.
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 Uncle Kenny's Mathematics Pronunciation Guide  Kent Kromarek
Billed as a "megametamathematical guide for proper American English
pronunciation of terms and names, for the diacritally challenged," this guide
includes many mathematicians and mathematical terms encountered in high school
and the first two years
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 Undergraduate Research Project in Random Tilings  Propp, Wilson
This project investigates different regions of random tilings of nxn squares with 1x2 dominoes: square, hexagon, fortress, dungeon, and Aztec diamond (the set of lattice squares completely inside a square tilted 45 degrees, discovering that the dominoes
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 Undergraduates' Page (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
Suggestions and links designed to give undergraduate students information specifically for them. Societies, Undergraduate Projects and Research; Summer Programs, etc.; Competitions; Careers in Mathematics; Undergraduate Publications; Other WWW Sites.
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 Understanding Calculus  Faraz Hussain
An online book that introduces calculus through concepts and engineering applications. Read the illustrated chapters free online, or download the entire work as a PDF for a fee.
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 Understanding Mathematics: A study guide  Peter Alfeld, University of Utah
A resource and source of encouragement, with questions and Alfeld's comments (Are you frustrated working through heaps of meaningless problems that are all alike? Does the thought "I can look it up if I have to" occur to you frequently? Do you feel that
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 Understanding Mathematics: From Counting to Calculus  Keith Kressin, K Squared Publishing, Inc.
A comprehensive book for anyone who desires clear and concise math explanations, written for a nontechnical audience to cover the math fundamentals normally taught from first grade through college (for more information, see the Table of Contents).
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 Une Balade dans le Monde des Polyèdres  Maurice Starck
Les polyèdres convexes, non convexes, et intéressants: les polyèdres uniformes, les stellations de l'icosaèdre, des tétraèdres remarquables, le découpage d'un tétraèdre par un plan, les deltaèdres
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 Unfair Dice  Ivars Peterson (MathTrek)
Dice represent an intriguing example of the interplay between randomness, chance, and physical law. The simplest mathematical model of a standard die is based on the assumption that the die is a perfect cube. A cube has six faces, and each face has an
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 Unfolding Orbifolds  Heidi Burgiel; The Geometry Center
A study of how a pattern can be reconstructed from an orbifold, using both handson exploration and the computer program TesselMania!. These activities are a good introduction to the movie Shape of Space. From Math 5337, Technology in the Geometry Classroom,
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 Unicursal curves and knot diagrams (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A unicursal curve in the plane is a curve that you get when you put down your pencil, and draw until you get back to the starting point. As you draw, your pencil mark can intersect itself, but you're not supposed to have any triple intersections. You
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 Unification of System of Linear Equations, Matrix Inversion, and Linear Programming  Prof. Hossein Arsham; University of Baltimore
Remarks on unification of systems of equations, matrix inversion, and linear programming, that is, the links between these topics. Includes references and further reading.
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 The Uniform Polyhedra  Roman Maeder
A shortened version of the notebook Polyhedra.ma from Illustrated Mathematics [Gloor/Amrhein/Maeder95]. Uniform polyhedra have regular faces and congruent vertices. Allowing for nonconvex faces and vertex figures, there are 75 such polyhedra, as well
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 Unifpack (Web version 2.0)  Carlos O'Ryan Lira
A set of programs and C libraries for studying Riemann Surfaces with symmetry. Unifpack accepts a presentation of a finite group and calculates the Cayley graph of the group for that presentation. If the presentation is "admissible," Unifpack can calculate
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