 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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 Union of Bulgarian Mathematicians (UBM)
A voluntary, creative, nonpolitical organisation whose purpose is to bring together people who are interested in Mathematics and Computer science or are involved in activities related to those fields. Contact info, meetings.
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 UnitConversion.org
Perform online unit conversions for volume, distance, temperature, time, speed, and more for a total of 2,100 kinds of units in 78 different categories.
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 Unit Converter
The converter works for units of area, energy, pressure, volume,
temperature, mass, length, numbers, velocity etc. You put in a number and
select a base unit and select a unit to convert to. The conversion result
will immediately appear in the output
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 UnitJuggler: Online Unit Conversions  Pierre Di Marco
UnitJuggler offers free unit conversions, for distance and length, area, volume, weight and mass, temperature, time, and more.
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 The Units of Measure C++ Library  Keith Nicewarner
The purpose of this library is to try to make it more difficult to make
coding mistakes that incorrectly mix units of measure. This is done with a
set of C++ classes that provide typesafe manipulation of units of measure
for various properties.
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 Units of Measurement for Ada  Dmitry A. Kazakov
Public domain software for dealing with physical measurement units. The library provides physically correct unit arithmetic and tools for input and output of units, which including support of various irregular units. As an illustrative example a platformindependent
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 The Universal Currency Converter  Xenon Laboratories Incorporated
An interactive currency table. Versions are available in English, Spanish, and Swedish. The Universal Currency Converter™ allows you to perform interactive foreign exchange rate conversion on the Internet. Type the amount of source currency in the input
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 Universal Math Solver  Stanislav Kublanovsky
Software that solves problems of arithmetic, algebra, trigonometry, calculus, and other mathematics. Graphs, tables, and automated verbal and written commentaries — also available in French, Russian, Dutch, German, Italian, Spanish, and Hebrew —
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 Universal Math Solver (UMS)  Severny Ochag International
UMS allows students to solve problems simply by entering them from any source, and provides a complete solution and presentation of the whole calculation process, accompanied by an audio commentary. See a screen shot or download a demo. Available in French,
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 The Universe of Discourse  Mark Dominus
Blog by the perl programmer who authored the book HigherOrder Perl and columns for The Perl Journal. Posts, which date back to November, 2005, have included "Fibonaccilike sequences," "More Liber Abaci," "The 3n+1 domain," "Biblical infallibility and
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 University Departments  Canadian Mathematical Society (CAMEL)
An alphabetical list of Canadian university departments. Also links to
All U.S. Mathematics Departments online and
More Mathematics Departments in Universities around the World.
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 The University of Minnesota Calculus Initiative  The Geometry Center
Interactive technologybased modules for the engineering calculus sequence which emphasize geometric concepts of calculus while examining applications of mathematics to the physical and life sciences. Available are: the Rainbow Lab, Numerical Integration
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 UniVirtual Slide Rule Emulator  Andrew Davie
A realtime, fully configurable, slide rule emulator in Java. Zoom, reconfigure onthefly, and work multiple slides and multiple cursors, each of which supports multiple gauge marks and hairlines.
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 Unsolved Problems in Function Theory  Alexandre Eremenko
Files available in PDF format: Some constants studied by Littlewood; Meromorphic functions satisfying certain differential equations (E. Hille); Does every universe contain a place where you can stay at rest? (Lee Rubel); Holomorphic curves with few inflection
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 Unsolved Problems in Number Theory, Logic, and Cryptography  Tim Roberts
This site "concentrates only on problems which are easily understandable to the amateur.... explainable on a single screen (perhaps 200 words), using simple terminology." Read brief descriptions of open problems such as the Chromatic Number, the Collatz
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 Unstructured Grids (UG)  Institut für Computeranwendungen, UniversitU7auml;t Stuttgart
A flexible software tool for the numerical solution of partial differential equations on unstructured meshes in two and three space dimensions using multigrid methods. Its basic design is flexible enough to support many different discretization schemes.
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 Untangled  Mehta, Gayatri; Luo, Xiaozhong; et al.
Map and place logic blocks in this game to make more compact circuit layouts on a grid  and more efficient computer chips. Visually appealing graphs bring nodes closer to parents or children and untangle knots in graphs; behind the scenes, the accumulated
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 US2020
By organizing a million mentors from industry, this organization hopes to provide "uplifting moments of discovery to children through realworld, handson projects and academic coaching" in science, technology, engineering and math (STEM) fields. The
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 USAMO/APMO/IMO/Putnam Archive  Kiran S. Kedlaya
Questions from some recent math competitions, in LaTeX or postscript format: the USA Mathematical Olympiad (USAMO) for high school students [19891999]; the Asian Pacific Mathematical Olympiad (APMO), a regional olympiad among countries on the Pacific
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 U.S. Census Bureau
Information (searchable by keyword and browseable by subject) from summary data files across cities, towns, counties, states, and other geographic and demographic boundaries, useful for many purposes from allocating representation in legislative bodies
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 U.S. Department of Education
Extensive and varied education information in categories including: educational initiatives (President's and Secretary's priorities), funding opportunities, student financial assistance, research and statistics, news and events, programs and services,
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 U.S. Energy Information Administration (EIA)
Links to facts/statistics on energy topics from A to Z: acid rain and air conditioning to world energy data on coal consumption, electricity prices, natural gas and oil consumption, and more. With tables, graphs, articles (some in PDF format), a Windows
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 Usenet FAQ Archive : Recreation : Puzzles  Netmeg Internet
Problems and puzzles, with solutions, from the rec.puzzles archives, in the categories: analysis, arithmetic, combinatorics, competition, decision, geometry, group, induction, instructions, language, logic, physics, pickover, probability, real life, references,
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 Using Mathematica in the Mathematics Classroom  Univ. of Illinois
A course module designed for high school and lower division college mathematics teachers who are beginners with Mathematica and who want to learn to use this software package to create transparencies and handouts, computer demonstrations, and interactive
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 Using Sketchpad: Circles  Jim King, University of Washington
A sketch illustrating families of circles orthogonal to a given circle or line, which give some motivation for the idea of reflecting a point across a line or circle. Notes on Jim King's presentation at the Sketchpad User's Group Meeting in Cincinatti
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 Using Sketchpad: Conics  Peter Andrews, Eastern Illinois University
Two sketches illustrating techniques for constructing general conic sections, one on Isaac Newton's Organic Construction and one on the MacLaurin/Braikenridge construction of a general conic. Notes on Peter Andrews' presentation at the Sketchpad User's
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 Using Sketchpad in Calculus  Doris Schattschneider, Moravian College
Three sketches about parametric equations of curves and a sketch about a (then) unsolved problem about perpendicular bisectors of quadrilaterals. Notes on Doris Schattschneider's presentation at the Sketchpad User's Group Meeting in Cincinatti in January
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 Using the Fibonacci numbers to represent integers  Ron Knott
We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these  each with a
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 Using the Geometer's Sketchpad  Jeremy Bartusch, revised by Tony Peressini and Tom Anderson
An interactive tutorial on how to use the Geometer's SketchPad software, and an introduction to how this application can be used to teach geometry and to produce classroom resources with plane geometry components. Sponsored by the University of Illinois
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 Using the Internet: Mathematics  Douglas Butler; Pearson Publishing (U.K.)
A 55page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculumbased bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main
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 US Third in Math Olympiad (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge: a small creature needs to find its way from a random point on an milewide strip of land to the sea on either side, by going distance r in a random direction and then (if it has not yet found the water), turning once t degrees
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 U Substitution  Technical Tutoring
The site describes the substitution method for solving integral problems by means of numerous examples and exercises.
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 U.S. Universities & Community Colleges  University of Texas at Austin
Universities and community colleges with Web sites in the United States, alphabetically or by state. A form is available for you to add an item.
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 The Valuation Theory Home Page  FranzViktor Kuhlmann
A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. The home page offers: information about conferences and special events; names and email addresses of mathematicians working
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 Vancouver Math Tutor  Vlad
Tutoring services for the Vancouver, B.C. (Canada) area; articles on tutoring; and algebra and probability materials used in tutoring.
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 Variable Force and Mass: Rocket Liftoff  Boyd Gatlin, Mississippi State University
The liftoff and flight of a rocket is a physical phenomenon. But in order to analyze the process, or to predict future rocket flights, we need to be able to model the process  or at least some simplified version of it  with mathematics. Actually, the
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 VassarStats Statistical Computation  Vassar College
Online Javascript programs on topics such as statistical tests, simulation, correlation and regression: procedures applicable to categorical frequency data; procedures applicable to proportions; procedures applicable to ordinal data; correlation and regression;
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 Vector Arithmetic Java Visualization  Vladimir Sorokin; University of Kentucky
An applet with which to visualize addition, substraction and scalar multiplication of vectors on the XY plane. This demonstration was created as part of the PHY211 Undergraduate Physics Laboratory Educational Page at the Department of Physics and Astronomy
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