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Abstract Algebra
Resource geared towards upper-level undergraduates covers integers, functions, groups, Galois theory, rings, modules and fields.
http://www.math.niu.edu/~beachy/aaol/
Algebra Online
Allows students, teachers, and parents throughout the world to talk algebra. Find free private tutoring, a message board, and live chat.
http://www.algebra-online.com/
Algebraic Number Theory Archives
Access the preprint archives for papers in algebraic number theory and arithmetic geometry. Includes submission instructions.
http://www.math.uiuc.edu/Algebraic-Number-Theory/
Ask Mr. Calculus
Challenges students to pose questions and problems concerning calculus. Includes complete answers from past Advanced Placement exams.
http://www.geocities.com/Athens/Acropolis/6432/
Calc101.com
Answers to calculus problems and equations are accompanied by detailed, step-by-step explanations.
http://www.calc101.com/
Calculus Hater
Meeting place for those who loathe the calculus, but including advice on surviving classes, and why "calculus is better than sex."
http://www.ihatecalculus.com/
Changing Logarithms to a Different Base
Article describes how, when and why to convert logarithms from one base to another.
http://www.oakroadsystems.com/math/log-base.htm
Discovering Wavelets
Find projects, links and downloadable programs aimed at helping to integrate wavelet study into the undergraduate math curriculum.
http://www.gvsu.edu/mathstat/wavelets.htm
Elements of Abstract and Linear Algebra
Undergraduate-level textbook covers groups, rings, matrices and other aspects of linear algebra. Download in .pdf, .dvi or PostScript format.
http://www.math.miami.edu/~ec/book/
Graph Theory Tutorials
Series of interactive tutorials cover graphing fundamentals, Euler circuits and paths and coloring problems. Includes glossary and bibliography.
http://www.utm.edu/departments/math/graph/
Graphing Linear Equations
Designed to provide an understanding in the graphing of linear equations. With quizzes and an interactive graphing tool for basic equations.
http://www.terragon.com/tkobrien/algebra/
Hoftsra University - Finite Math & Applied Calculus
Offers interactive tutorials, game theory simulator, quizzes and exercises on finite mathematics and applied calculus.
http://www.hofstra.edu/~matscw/realworld.html
Integrator, The
Allows you to integrate any mathematical expression using Matlab syntax. Includes tutorials on how it all works.
http://integrals.wolfram.com/
Interactive Real Analysis
Web-based textbook covers real analysis and advanced calculus. Covers sets, sequences, series, continuity and integrability.
http://www.shu.edu/projects/reals/
Introduction to Unified Analysis
Explores a new point of view on calculus, where the definition of the limit is extended so it can operate on "divergent" processes.
http://www.limit.com/
Largest Known Primes
Defines what prime numbers are and how they are relevant to mathematiciansPresent the complete list of prime numbers.
http://www.utm.edu/research/primes/largest.html
Lifchitz, Henri - Homepage
Contains articles, charts and general information relating to number theory. Includes translations in French.
http://ourworld.compuserve.com/homepages/hlifchitz/
Linear Systems of Equations with Constant Coefficients
Provides explanations and sample problems of linear equations with constant coefficients. Learn to use the matrix notation and convert the LHC.
http://www.mc.edu/~travis/syllabi/352/notes3.html
Mathematica Notebook - Interactive Learning in Calculus
Access this interactive Mathematica notebook, which enables students to actively learn calculus and differential equations.
http://www.ma.iup.edu/projects/CalcDEMma/Summary.html
MathSoft
Read articles and view interactive sites about this company's engineering software, Mathcad. Offers a free download.
http://www.mathcad.com/
Matrix Market
Visual repository of test data for use in comparative studies of algorithms for numerical linear algebra. With matrix generation tools.
http://math.nist.gov/MatrixMarket/
MSN Encarta - Calculus
Discusses differential and integral calculus, and chronicles their development.
http://encarta.msn.com/find/Concise.asp?ti=042E7000
MSN Encarta - e, Euler's Constant
Defines the irrational number second only to pi in its importance to mathematics.
http://encarta.msn.com/find/Concise.asp?ti=0038A000
MSN Encarta - Equations, Theory of
Methods for determining the roots of polynomial equations. Defines integers, terms, and quadratic equations.
http://encarta.msn.com/find/Concise.asp?ti=01BCE000
MSN Encarta - Exponent
Find out how to use the calculation short-hand notation of exponents.
http://encarta.msn.com/find/Concise.asp?ti=02868000
MSN Encarta - Factor
Defines the meaning of "factor" in number theory and in algebra.
http://encarta.msn.com/find/Concise.asp?ti=0249E000
MSN Encarta - Inequality
Defines the simple relationship between numbers of different values. Useful in determining areas or volumes.
http://encarta.msn.com/find/Concise.asp?ti=06DC1000
MSN Encarta - Mathematical Proof
Explains how proofs are assembled through a sequence of logical premises, and discusses their ancient Greek origins.
http://encarta.msn.com/find/Concise.asp?ti=06DC3000
MSN Encarta - Power
Explains this term for the multiplication of a given quantity by itself, and how an exponent is used to express such an operation.
http://encarta.msn.com/find/Concise.asp?ti=065BA000
MSN Encarta - Root
Provides a definition of this kind of number and discusses how it is represented.
http://encarta.msn.com/find/Concise.asp?ti=023A4000
OJK's Precalculus Page
Learn how to solve linear and quadratic equations, polynomial functions, inequalities and derivatives. Includes puzzles and tests.
http://www.geocities.com/CapeCanaveral/Launchpad/2426/
On-Line Calculator
University of South Carolina professor offers a calculator for algebraic functions. Learn more about his career or solve equations.
http://www.math.sc.edu/cgi-bin/sumcgi/calculator.pl
Pseudospectra Gateway
Learn about this method for computation of non-normal matrices and non-orthogonal eigenvalues. With examples, software and a bibliography.
http://web.comlab.ox.ac.uk/projects/pseudospectra/
Purplemath - Your Algebra Resource
Written primarily for students, the site contains links to resources about elementary mathematics. Includes informative modules.
http://www.purplemath.com/
Sloane's On-Line Encyclopedia of Integer Sequences
Enter a series of numbers, and this tool will find the possible continuations and an equation that describes the series.
http://www.research.att.com/~njas/sequences/
Univ. of Tennessee, Knoxville - Calculus Resources
Information and links to numerous resources useful in the teaching and learning of calculus.
http://archives.math.utk.edu/calculus/crol.html
University of Akron - E-Calculus
Download a detailed calculus tutorial from the University of Akron. Requires Adobe Reader.
http://www.math.uakron.edu/~dpstory/e-calculus.html

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