 Nowhere Monotonic Continuous Function  Michal Wojcik
Proof of the existence of a continuous function f:[0,1]>R that is neither increasing nor decreasing on any subinterval of [0,1]. This proof uses the Baire Category Theorem.
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 NSDL Middle School Portal: Math Pathway  NSDL; the Ohio State University
A middle school portal into NSDL's math resources, browsable by topic, or choose a preselected set of resources on given subjects.
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 The Number Empire  Vitalii Vanovschi
Enter a positive integer up to 10^12, press the "Go!" button, and The Number Empire states  in yes/no format  whether you entered a prime number, a Bell number, a Catalan number, or a factorial. The same single click displays the integer written out
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 The Number Warrior  Jason Dyer
Blog by an algebra and calculus teacher. Posts, which date back to January, 2008, have included "The Educational Problem with Teaching Multiplication as Repeated Addition," "Nonlinear lesson design (Giant Ants of Doom)," "The design of mathematical notation,"
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 Numerical Recipes in C: The Art of Scientific Computing  Books OnLine  Press, Teukolsky, Vetterling, Flannery; Cambridge University Press
An online book available in Adobe Acrobat or PostScript formats that outlines the method of organizing a program, and then provides the methodology and (copyrighted) source code in the C programming language for: linear algebraic equations, interpolation
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 Numericana.com  Gérard P. Michon
The online companion of Numericana, this site contains excerpts from Michon's book, including the entire glossary of scientific terms. Browse an index with pithy summaries, browse by popularity, or search nearly two hundred of his "final answers" of readers'
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 The Official Scoring Site of the International Mathematical Olympiad 2001  Wolfram Research
The IMO 2001 competition, for students under the age of 20 who have had no postsecondaryschool education, was held July 114, 2001, in Washington, DC, USA. Each country represented is allowed up to six participants. This site records scores and supplies
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 Oligopoly/Public Firm Model  Elmer G. Wiens; Egwald Web Services Ltd.
An economic model of an oligopolistic industry with a government firm, oligopoly, interactive and online model, with bonus systems for managers of a
public firm. Application of numerical analysis (Gradient and Newton's
methods to solve systems of
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 Olimpíada Brasileira de Matemática  Sociedade Brasileira de Matemática (SBM)
The Olimpíada Brasileira de Matemática (OBM) is a competition open to all students enrolled in Brazil's fundamental or middle studies. Browse or download archived exam problems and solutions dating back to 1997. Read news about olympiads, or the journal
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 One Mathematical Cat, Please! A First Course in Algebra  Carol J.V. Fisher Burns
This is a complete online Algebra I curriculum, along with lessons in geometry, algebra II, and calculus. Over 150 web exercises, all typeset in MathJax and some of which use GeoGebra, with printable randomlygenerated worksheets and solutions, offer
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 Online Calculator  Cody Miller
Online Calculator features include: RPN, unit converter, base conversion, polynomial solver, equation solver, complex number support, and decimal to fraction conversion. Site includes reference sheets for algebra, geometry, trigonometry, and calculus
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 Online Class: Internet Education Projects  TBT International, Inc.
A model project to show teachers how to integrate technology into the classroom. Designed so that live, interactive content will draw out technical skills. Subscribe by classroom to receive a printed teachers' resource guide; materials delivered free
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 Online Function Grapher  David Bloom
Interactively plot trigonometric functions, inverse and hyperbolic trigonometric functions, logarithm and natural logarithm (ln), square root, and other special functions such as min, max, absolute value.
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 Online Graphing Calculator: 1Click Delivers Complete Graph  Barry Cherkas, WebGraphing.com
Online graphing calculator with automatically optimized viewing window plus stepbystep details to help answer any graphing questions. Calculus results include determining derivatives and finding local maxima, minima, points of inflection, and more.
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 Online Math Applications  Leung, Jiang, Jiang, Chiu, Klopfer, Chiu; ThinkQuest Junior
Activities, examples, problems, and online quizzes about math applied to real world situations in investing (a stock market simulation game), music (classical MIDI files), history (biographies and anecdotes), science (astronomy, computers, 'math in the
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 Online Math Calculator
This collection of free online calculators includes a scientific calculator that accepts inputs of entire matrices and equations, calculates derivatives, and plots functions. Onebutton unit conversion calculators convert between Celsius and Fahrenheit,
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 Online Math Center  Whatcom Community College, Bellingham, WA
Resources for mathematics students and teachers, including answers to Frequently Asked Questions and online Live Math applications demonstrating algebra, calculus, and linear algebra topics.
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 Online Math Help for All  Ramachandran Seerangan
Primers and problems, a math dictionary, worksheets organized by grade and concept, and more. See in particular Seerangan's YouTube channel, where he posts narrated whiteboard videos of stepbystep solutions to specific problems.
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 Online Resources  Georgia Tech School of Math
Syllabi, course notes, problems, and Maple worksheets for single and multivariable calculus, linear algebra, statistics, and a Math for Management course (statistics, probability, sets, and some calculus). The site also contains sample exams for calculus
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 Online Tutor: Math, Science, Computers, Etc.  Morris Roth
Online tutoring in math, physics, chemistry, biology, computer languages, English, and French. Inperson tutoring in Tulsa, OK.
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 OnSolver.com  Aliaksei Shamau
Evaluate indefinite integrals, definite integrals, derivatives, limits, differential equations (powered by WolframAlpha), matrices, and systems of equations (original JavaScript) by using the pulldown menus or typing directly in the fields.
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 .oO worksheeps  Felix Heckert
Generate worksheets of customized math exercises, complete with solutions: basic operations with integers, negatives, and fractions; binomial and quadratic formulas; partial roots; percent calculation; curve sketching; metric; derivations; antiderivatives;
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 OpenMathText.org  David A. Santos, Alain Schremmer
OpenMathText.org is a depository of free, downloadable texts and is primarily dedicated to the specification, development, and dissemination of free, editable and downloadable mathematical texts aimed, mainly, at "just plain folk." OMTo invites registrants
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 Oscience.info  Subash Chandra
Introductions to limits and continuity, derivatives and antiderivatives, functions and graphs, matrices and determinants, properties of triangles, set theory, basic trigonometric formulae, and trigonometric functions and identities. See also Oscience's
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 ostermiller.org  Stephen Ostermiller
Converters, Calculators, and JavaScript include Multiplication Game, in which letters represent digits in a multiplication problem; Length, which converts between units of length and distance; Roman Numerals, which converts between Arabic and Roman numerals;
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 The OU Calculus I Problem Archive  Dept. of Mathematics, Oklahoma University (OU)
Sample problems, with hints, answers, and "the grisly details": 1. Functions, calculus style; Graphs; Machine graphics; What is a function?; A field guide to elementary functions. 2. Amount functions and rate functions; The geometry of derivatives; The
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 Paginedimatematica  Bruno Tomaino
In Italian: Analisi, trigonometria, equazioni differenziali, test a risposta multipla.
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 Papers on the History of Mathematics  Gregory Cherlin, Rutgers University
A random selection of term papers submitted in undergraduate, onesemester courses on the history of mathematics. Topics include zero, Fermat, Euler, Newton, Euclid's proof of the Pythagorean Theorem, Fibonacci, Vieta, conic sections, mathematics at Princeton
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 Pass Calculus  Le Site PassCalculus.com
Calculus question solution service. Solutions offered via email, phone, or fax; quotes are free; payment by credit card. Sample solutions and FAQ online.
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 Paul's Online Math Notes and Tutorials  Paul Dawkins, Lamar University
Online notes and tutorials on algebra, calculus, and differential equations. Also, PDFs, some reduced to fit onto one printed page, offering a review of algebra and trigonometry, a primer of complex numbers, listing common math errors, suggesting how
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 PBS Teachers: Math  PBS Teachers
The Public Broadcasting System's Math Service, combining computing and telecommunications technologies to offer interactive data services and interactive video and voice services for education based on the NCTM Standards. The site features: resources,
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 Personal Tutor  Memory Banks Pty. Ltd., Australia
Maths and science software designed to complement the secondary school math syllabus. A comprehensive learning system usually used by students and schools as a supplement and aid to coursework, but thorough enough that it can be used by individuals without
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 Peter Ash's Thoughts on Math and Education  Peter Ash
Musings on doing and teaching mathematics, book reviews, and math problems both elementary and advanced from the creator of Cambridge Math Learning. Blog posts, which date back to August of 2007, include "Very Proper Fractions"; "Physical Models for NonEuclidean
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 Peter Doyle  Mathematics, Univ. of California at San Diego
Advanced tutorials, proofs and papers, mostly statistics, probability, geometry, and graph theory, but with examples from other mathematics areas as well. Don't miss Dr. Doyle's Flip Flops.
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 Physics and Math Help Online  Bryan Gmyrek
Tutoring available through email. Previously answered questions are archived on the site, and a tutorial on The Plank Radiation Law  Blackbody Spectrum is available. The author also provides a physics help newsletter and a list of sites for further
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 Physics Forums
Discussions emphasize physics, but "PF" also includes an entire directory on mathematics: General Math; Calculus & Analysis; Differential Equations; Linear & Abstract Algebra; Topology & Geometry; Set Theory, Logic, Probability, and Statistics;
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 Plot Graphs  Philipp Wagner
Plot multiple two or threedimensional graphs, including of parameterized functions and derivatives, in one and the same graph. Key in equations with the WYSIWYG formula editor.
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 Plotting Functions of a Complex Variable  George Abdo, Paul Godfrey
Graphs of functions of a complex variable, compared with graphs of functions of a real variable (the Introduction includes a review). Includes Conformal Maps requiring Möbius and SchwartzChristoffel Transformations. Full color images show conformal
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 Poliplus Software
Educational computer algebra, geometry, trigonometry, calculus software for Windows and Macintosh, and Java. Formulae 1 (F1) is a computer algebra system designed for the teaching and exploration of Mathematics. EqnViewer is a Java applet that allows
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 The PostCALC Project  Duke University
The PostCALC Project is a branch of the Connected Curriculum Library that presents interactive, mathematicallybased modules designed for high school students who have finished a yearlong course in calculus. These modules, each appropriate for several
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 The postIMO97 web page  Olimpíada Matemática Argentina
Problems and results from the math olympics held in Argentina in July, 1997. Available in English and Spanish, with problems also in French, Russian, German, and a host of other languages.
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 Powell's Books
Located in Portland, Oregon, USA; the largest independent bookseller in the United States, specializing in technical books and new, used, hardtofind, and antiquarian titles. An extensive subject and keyword list is available  search database of titles,
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 Power Maths  A precalculus project  Sidney Schuman
A precalculus investigation designed to enable students to discover each calculus power rule independently (albeit in simplified form), and hence their inverse relationship. Students are required only to do simple arithmetic and some elementary algebra,
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 PowerMath: the Virtual Reality Mathematics Teacher  Alexandre Menezes, PowerClassroom Software, LLC
Modular, studentcentered instruction software for Windows, based on visualization of mathematical ideas. Available in licenses from one to unlimited users. Demo CD available. Pricing and topics listed on web site.
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 PreCalc/Calculus (Math for Morons Like Us)  ThinkQuest 1998
Lists of important concepts, a quick reference sheet with key calculus formulas, and a calculus message board.
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 PreCalculus  Trevor Roseborough
An introduction to calculus for the student who is about to learn the subject. It makes clear the connection between the integral and the derivative and suggests a more consistent notation before the student becomes hopelessly confused.
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 Preparing for University Calculus  Mathematics and Statistics Committee of the Atlantic Provinces Council on the Sciences (APICS)
Answers frequently asked questions about university level calculus courses, such as "What math will I need in university?" and "What is calculus?" Also download the booklet, which offers sample questions and hints of the sort often found on calculus placement
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 Prependix A: Math Notation On KCT
 Karl Hahn
Math notation over the Web: symbol conventions used by Karl Hahn for his Calculus Tutor Notes.
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 Principles of Calculus Modeling, an Interactive Approach  Donald Kreider and Dwight Lahr, Department of Mathematics, Dartmouth College
Web pages that correspond to each section of the book Principles of Calculus Modeling: Modeling Discrete Data; Modeling Rates of Change; Modeling with Differential Equations; Modeling Accumulations; and Culminating Experience. With quizzes, applets, worked
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 Probability/Statistics and Calculus Problems of the Week (PCPOW)  Kentridge High School, Kent, WA
Probability, statistics, and calculus problems and solutions, some of which date back to 1999.
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