 Completing the Square  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about completing the square, with diagrams, geometry, and alternate methods.
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 Complex Analysis (Graphics Archive, Special Topics)  The Geometry Center
Research involving maps of one or more complex variables.
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 Complexification  Jared Tarbell
View interactive, open source Java applets of fractals and other mathematically significant graphics.
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 The Complexity of Geometric Constructions  François Labelle
Efficient constructions with straightedge and collapsing compass (the geometric tools of Euclid). The question of what can and cannot be constructed with this model of computation is basically answered by Galois Theory. This document deals with the minimum
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 Complex Numbers  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A series of articles on the algebraic structure of complex numbers and their application to solving various problems in algebra and geometry. Several of the discussed features, for example, real and complex products, are drawn from very recent literature
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 Complex Numbers (Manipula Math)  International Education Software (IES)
Java applets to investigate complex numbers, their reciprocals, powers, and other selected functions. (One function leads to a fractal.)
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 Complex Numbers & Trig  Alan Selby
Complex Numbers and the Distributive Law for Complex Numbers, offering a short way to reach and explain trigonometry, the Pythagorean theorem, trig formulas for dot and crossproducts, the cosine law, and a converse to the Pythagorean theorem. A geometric
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 Complex number to a complex power may be real  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A proof using Euler's formula.
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 Complex, Technology Based Problems in Calculus  Math Department, RoseHulman Institute of Technology
Nearly 100 problems with a higher level of complexity than traditional textbook problems and that foster use of a computer algebra system. Problem categories include: antidifferentiation, data fitting, difference equations, differential equations, and
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 Complex Variables (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and precollege complex variables. Complex Numbers: Basic Definitions and Arithmetic, The Complex Plane, The Polar Form
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 Composition of Functions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about composition of functions, including evaluating them and determining the domain of a composite function,
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 Compound Interest to e and i  Don Cohen (The Mathman)
Graphing and exploring simple interest and compound interest. Examples of interest earned on one dollar at 6 percent compounded daily, monthly, quarterly, annually. Patterns, infinite sequence. Sample problems with some answers from Chapter 11 of Don
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 A comprehension tool for mathematics?: the Math Forum @ Drexel's Online Mentoring Guide  Renninger, Ray, Luft, and Newton
Two studies of the Math Forum's Online Mentoring Guide (OMG) address whether and how online comprehension tools might support mathematics learning. In Study 1, the culture of the preservice teachers' (PTs') mathematics classroom and their work with the
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 Comprehensive School Mathematics Program (CSMP)  Midcontinent Regional Educational Laboratory (McREL)
A K6 mathematics curriculum from the Midcontinent Regional Educational Laboratory (McREL) that focuses on problem solving, concept development, and other higher cognitive processes following the NCTM Standards. The program requires special preparation;
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 Compressible Aerodynamics Calculator  William J. Devenport
Computes the standard relations for compressible flow of a perfect gas.
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 comp.softsys.math.mathematica  Math Forum
A moderated discussion group that provides an opportunity for users of the software package Mathematica to help each other; occasionally, Mathematica's developers participate as well. Read and search archived messages; and register to post to the discussions.
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 comp.softsys.matlab  Math Forum
An unmoderated discussion group, available via the Math Forum's archive (from which you can view messages, search them, and register to post), or in mailing list or newsgroup format, providing an opportunity for users of the software package Matlab to
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 The Computational Beauty of Nature  Gary William Flake
Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation: a companion site for a book by Gary William Flake, "affectionately known as 'The Fish and Chips Book'." Contains applets and source code.
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 Computational Geometry (Graphics Archive, Special Topics)  The Geometry Center
Understanding algorithms that solve problems in Geometry.
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 Computational Geometry  Joseph O'Rourke
Computational Geometry is concerned with designing algorithms and computer programs to perform geometric computations. A need for such computations arises in many fields: computer graphics, robotics, pattern recognition, geography, manufacturing, etc.
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 Computational Science Education Project (CSEP)  U.S. Department of Energy
An electronic book for teaching Computational Science and Engineering to students at the advanced undergraduate level and higher. Tutorials for freely available networking and visualization software are also included for high school students and people
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 Computation Take a Quantum Leap  Ivars Peterson  Science News Online
A quantum computation involving a custombuilt molecule furnishes experimental evidence that a quantum computer can determine the order of a permutation more efficiently than can a conventional computer. For their quantum computer, Isaac L. Chuang of
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 Computer Algebra Information Network (CAIN)
A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software
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 Computer Algebra Systems in Calculus Reform  Lisa Denise Murphy
A literature review that starts with a brief history of the calculus reform movement and goes on to describe several studies in which computer algebra
systems (CAS) were used in introductory calculus courses. With the beginnings of an annotated list
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 Computer Animated Statistics  Adriano Garsia, University of California, San Diego
Java applets for probabilistic studies of picking fortunes from a limited supply of fortune cookies, picking prizes from an unlimited supply of cereal boxes, and Breaking the Bank (roulette). Also, Let's Make a Deal, an interactive solution to the Monty
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 Computer Art and Tessellations  Hans Kuiper
A site about tessellations (tiles, tessels or regular patterns), infinity pictures, optical art, Islamic art, optical illusions, auto stereograms, company logos, quilt patterns and palindromes. Figures, patterns, textures and wallpaper drawings inspired
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 The Computer Delusion  Todd Oppenheimer, The Atlantic Monthly magazine
A July 1997 article critical of the effects of the classroom use of computers.
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 Computer Generated Art Gallery  Tom Ellis
Original computergenerated fractal images. Mandelbrot Sets; Mandelbrot zoom rendered onto a sphere.
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 Computer Generated Islamic Star Patterns  Craig S. Kaplan
Islamic star patterns are a beautiful and highly geometric art form whose original design techniques are lost in history. This site describe one procedure for constructing them based on placing radiallysymmetric motifs in a formation dictated by a tiling
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 Computer History Museum
The Computer History Museum presents and preserves for posterity the artifacts and stories of the information age. Exhibits include histories of the Internet and of computer chess; and a working model of the Babbage Engine, first undertaken by that mathematician
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 Computerorientierter Mathematikunterricht zur Diskussion  Christian Wagenknecht
Computeroriented Math Teaching. Lernen und Lehren mit dem Computer. Theory and practice with the computer. A paper in German by Wagenknecht on computers and math teaching; integrating the computer into the classroom; impediments (fear of computers, reluctance
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 Computers and Education  Crawford Kilian
Links to interesting and useful sites, advice on how to join some good listservs, and some of Kilian's articles on what computers and educators are doing to each other, including "Why Teach Online," "Education@Home," "Spinning a New Web of Learning,"
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 Computers and Internet : Hardware : Calculators : Hewlett Packard  Yahoo
Yahoo's Web page of sites having to do with HP Calculators.
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 Computer Science Education Week  National Computer Science Education Week
The materials from Computer Science Education Week inspire exploration of the field any time: defining documents; posters, brochures and kits; reports and presentations; data/computer science facts; curriculum; programs and ideas; videos; and contests.
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 Computer Science Unplugged  Tim Bell, Ian H. Witten, and Mike Fellows, University of Canterbury, New Zealand
A free collection of activities designed to teach the fundamentals of computer science without requiring a computer. Because they're independent of any particular hardware or software, Unplugged activities can be used anywhere, and the ideas they contain
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 Computers, Free Will, and Marching Ants (Math Chat)  Frank Morgan; Christian Science Monitor
Is it logically possible for a computer to have free will?
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 Computer Software for Math Education  Math Forum
The Math Forum's page of suggested archives for downloading mathematics software.
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 Computer Solution Central
Shareware games for Windows machines and PDAs. Includes a free solitaire game, educational games focusing on addition and multiplication, and a date calculator.
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 Computing at the Edge  Ivars Peterson  Science News Online
To study and predict boundary effects, researchers have struggled to accurately capture erratic, complicated behavior in a computer model. In recent years two schemes for calculating what happens at rapidly evolving interfaces have provided new insights
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 Computing Before Computers  Brian Borchers, New Mexico Institute of Mining and Technology
Online introductions, with PostScript or PDF downloads, of Napier's Bones and of the GenailleLucas Rulers. Pictures of statistical computing devices such as the Pickett N525ES Statrule, the cumulative binomial probability computer, the General Dynamics
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 Computing in a Surreal Realm  Ivars Peterson (MathLand)
Even among mathematicians, the study of surreal numbers is an obscure pastime. Only a few have occupied themselves in recent years exploring the peculiarities of a number system that includes different kinds of infinities and vanishingly small quantities.
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 Computing Science: A Question of Numbers  Brian Hayes; American Science
An article about the ISC (Inverse Symbolic Calculator) and numbers. "In my daydream, Neil Sloane and Simon Plouffe are contestants on "Jeopardy," the TV game show. Sloane picks the category "Integer Sequences" for $400, and Alex Trebek reads the answer:
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 Computing Technology for Math Excellence  Patricia Deubel
Computing Technology for Math Excellence (CT4ME) is devoted to resources for teaching and learning mathematics (K12 and calculus) and the standards movement in education. Math resources include links to sites for basic skills mastery, problem solving
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 Computing with the EDSAC  Ivars Peterson (MathLand)
The celebration earlier this year of the fiftieth anniversary of the unveiling of the ENIAC, the first electronic, generalpurpose computer, has focused attention on the early history of computing. In the 1940s, there were no computer scientists, no software
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 Compvter Romanvs (Natural Math)  Edward R. Hobbs
A Roman numeral calculator. "Caesar has proclaimed Compvter Romanvs to be the official calcvlator of the Roman Empire. Yov now have at yovr disposal the latest in high technology to assist in all manner of nvmerical problems. Yes, whether yov're bvilding
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 Concentric Geometric Hierarchies  Kirby Urner, 4D Solutions
Exhibit 1 is a JavaScript demo exhibit of the concentric hierarchy from the tetrahedron out to the rhombic dodecahedron. The shapes are all 2.3.4fold symmetric. A status bar shows the volumes of the shapes when you select an isolated view. A cumulative
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 Conception of the Good  Naveen Rizvi
"Insights into our current education system" by a UK classroom teacher. Rizvi, a selfdescribed "believer in teaching via direct instruction," blogs to "share ideas and model how I have implemented these ideas and then discuss the impact of the number
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 Conceptual Math Media, Inc.
Math educational products for both the classroom and family. Master multiplication facts and divisibility rules with PrimePak playing cards; create equations crosswordstyle with the Equate board game, also available via email. Order products online
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 The Concinnitas Project
Aquatint collection of the ten "most beautiful mathematical expressions," as selected by Michael Atiyah (the Index Theorem), Enrico Bombieri (the Ree Group Formula), Simon Donaldson (Ampère's Law), Freeman Dyson (the MacDonald Equation), Murray
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 Concurrency Points in a Triangle  Brakalova, Johnson, Scalzitti, Thornberry; The Geometry Center
An interactive Webbased exploration designed to facilitate the teaching of triangle concurrency, both as an integral part of a geometry curriculum and as enrichment material. These pages can be used by individual students as a computer exploration, as
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