WWW Links

General Links

21st Century Problem Solving
http://www2.hawaii.edu/suremath/home.html
Examples of problems solved using reliable problem-solving methods. For students, teachers and professionals.

Ask the Experts:
http://www.sciam.com/askexpert/math/index.html
Contributors to Scientific American magazine answer interesting questions related to mathematics. Send in your question and have it answered by an expert.

Catalog of Mathematics Resources on WWW and the Internet: http://mthwww.uwc.edu/wwwmahes/files/math01.htm
Contains links to numerous resources related to mathematics.

Center for Science and Mathematics Teaching:
http://ase.tufts.edu/csmt
A resource for instructors. The center develops curriculum-based activities and computer tools.

Computer Mathematical Systems:

Maple:
http://www.maplesoft.com/apps/index.html
Mathematica:
http://www.wri.com
Derive:
http://www.derive.com
MatLab:
http://www.mathworks.com

Dave's Math Tables:
http://www.sisweb.com/math/tables.htm
Virtually every table needed at any level of college mathematics is accessible at this site. You can display the page in either English or Spanish, and if you decide you will use is frequently, it can be downloaded and run on your individual machine. Perhaps more impressively, Dave's site features "The Math White Board", an online forum intended specifically for enabling online tutoring.

Exercise Your Brain!
http://www.princeton.edu/~mathclub/puzzles4.html
Riddles for undergraduates and novices in math.

Galaxy:
http://galaxy.einet.net/galaxy/Science/Mathematics.html
The Galaxy home page contains a wealth of links to other mathematics sites, including links to academic/professional organizations, electronic journals, software, and specific math topics listed by subject area.

Graphics Calculators:

Texas Instruments:
http://www.ticalc.org
Hewlett Packard:
http://www.shopping.hp.com/cgi-bin/hpdirect/shopping/scripts/generic_store/generic_subcategory_view.jsp?BV_SessionID=@@@@0551974165.1038890897@@@@&BV_EngineID=ccekadcgllfgmkfcfngcfkmdflldfgg.0&category=calculators&subcat1=graphing&cat_level=1
Casio:
http://www.casio.com/calculators/

Graphing Utilities:
http://www.math.unl.edu/~jorr/java/
This is a collection of six applets for graphing functions, as well as for drawing Riemann sums and secant lines. Simple, yet effective, the interface is very easy to learn.

IES - Manipula Math with Java:
http://www.ies.co.jp/math/java/index.html
Some truly inspiring illustrations of mathematics concepts with Java.

Integrator:
http://www.integrals.com
This site uses Mathematica's integrator to let you find the indefinite integral of a function.

Interesting Mathematical Aphorisms:

MacTutor History of Mathematics Archive:
http://www-groups.dcs.st-and.ac.uk/~history
Lots of useful information on the history of mathematics. Contains a biographies index, history topics index, famous curves index, and a list of mathematicians of the day.

Math Archive:
http://bsuvc.bsu.edu/~d004ucslabs
The Math Forum: http://forum.swarthmore.edu/,
Each of these sites offers a mind-boggling array of information related to math education, for both teacher and learner. The Swarthmore houses one of the best tutorial sites on the web:

Ask Dr. Math:
http://forum.swarthmore.edu/dr.math/. Here students may ask questions from any level of math from grade school through undergraduate college courses.

Mathematical Musings:
http://www.geocities.com/CapeCanaveral/Launchpad/5577/musings/Musings.html
Offers some thoughts on the study of mathematics and a number of interesting games.

Math Societies/Associations:
American Mathematical Society - http://www.ams.org
Mathematical Association of America - http://www.maa.org
Mathematics Archives - http://archives.math.utk.edu/societies.html
The Math Forum - http://forum.swarthmore.edu

Newton's Method:
http://www.math.sc.edu/cgi-bin/sumcgi/Newton.pl
This site allows you to solve equations using Newton's Method.

Quickmath:
http://www.quickmath.com/
Many students find Quckmath almost too good to be true. Utilizing Mathematica to solve high-school and introductory college-level math problems, the site offers a very easy interface for problem entry, essentially similar to entering expressions into a graphing calculator, and offers help in algebra, calculus, matrix calculations, and solutions to equations and inequalities. This is the type of site that will force teachers to re-think the types of problems they assign for homework. Splendid.

Visual Math for Java
http://www.fortunecity.com/skyscraper/alpha/626/
Dr. Huang's on-line calculator does graphing and equation solving. It also does numerical differentiation and integration.

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Course Specific Links

Calculus

BrainStorm:

Contains interactive problems for Algebra, Geometry, and Calculus, as well as sample questions from SAT papers.
Calculus@Internet: http://www.calculus.net/ci2/?tag=
The site offers a variety of resources for Calculus instructors and students.

Finite Mathematics and Calculus Applied to the Real World:
http://www.hofstra.edu/~matscw/realworld/index.html
As many colleges and universities have developed Internet materials in support of courses, they have often elected to make that material publicly available. This site at Hofstra University presents many tutorials related to their course in applied mathematics and finite math. These tutorials feature animations and interactive features which really enhance the presentation of basic calculus concepts.

Integrals.com:
http://integrals.wolfram.com/index.cgi
It doesn't get much simpler than this. Enter a function of x, hit the "Do It" button, and watch the integral of your function appear. This apparently runs Mathematica from the home server; the page is attractive and extremely easy to master.

The Java Powered Calculus Project:
http://www.ies.co.jp/math/java/calc/index.html
This site includes tools for assistance in teaching and learning calculus, including a function grapher, a scientific calculator, and other material. Apparently this site is being taken commercial, as it contains far less stuff than it has in the past, but is still worth a look.

Visual Calculus:
http://archives.math.utk.edu/visual.calculus/title3.html
Dr. Larry Husch of the University Of Tennessee at Knoxville has developed this tremendous set of Java applets designed specifically to instruct the student on basic concepts of engineering and applied calculus. All major topics in a typical university first-year calculus sequence are covered, and the offers a number of example problems with accompanying complete solutions. This site is invaluable for the first year calculus student.

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Applied/Business Calculus

Finite Mathematics and Calculus Applied to the Real World:
http://www.hofstra.edu/~matscw/tccombop.html
As many colleges and universities have developed Internet materials in support of courses, they have often elected to make that material publicly available. This site at Hofstra University presents many tutorials related to their course in applied mathematics and finite math. These tutorials feature animations and interactive features which really enhance the presentation of basic calculus concepts.

Integrals.com:
http://integrals.wolfram.com/index.cgi
It doesn't get much simpler than this. Enter a function of x, hit the "Do It" button, and watch the integral of your function appear. This apparently runs Mathematica from the home server; the page is attractive and extremely easy to master.

Statistics

Statiscope:
http://www.df.lth.se/~mikaelb/statiscope/statiscope-enu.shtml
This is a complex applet that calculates descriptive statistics and displays various statistical graphs. Data can be entered manually or downloaded from an external source, and the user can also use the applet's ability to generate random distribution-specific data to perform Monte Carlo type simulations.

The Chance Database:
http://www.dartmouth.edu/~chance/
The Chance Database embraces one of the fundamental notions in math reform, that mathematics should be taught through real-life problems. This site seeks out statistics in the news, using these stories to reinforce basic notions of elementary statistics. Highly recommended as a statistics course term paper resource.

Quincunx:
http://www.users.on.net/zhcchz/java/quincunx/quincunx.1.html
This is the first of a number of fascinating Java applets that visually demonstrate the central limit theorem and the law of large numbers. In the author's words, "The Quincunx is a device which allows a bead to drop through an array of pins stuck in a board. The pins are equally spaced in a number of rows and when the bead hits a pin it is equally likely to fall to the left or the right. It then lands on a pin in the next row where the process is repeated. After passing through all rows it is collected in a slot at the bottom." The applets keep track of the frequencies of the results, laying out the outcomes with continuously updated histograms.

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Differential Equations

Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equations Courses, by Robert Devaney.
http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
Robert Devaney's lessons on using bifurcations and phase lines are an excellent resource on graphical methods, using helpful illustrations to emphasize the text.

Numerical Methods--Euler's Method:
http://calculus.sjdccd.cc.ca.us/ODE/7-C-1/7-C-1-map-ma.html
Euler's Method is given a complete work-up here, starting with an introduction to the basic concepts, and continuing through detailed solution of examples. The site concludes with a discussion of how to develop a program to calculate perform the necessary calculations.

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Geometry

Euclid's Elements:
http://aleph0.clarku.edu/~djoyce/java/elements/elements.html
This creative site shows how Java applets can be used to illustrate Geometry with a series of interactive proofs based on Euclid's Elements.

Geometry Center:
http://www.geom.umn.edu
A great resource for mathematics instructors and students. This site offers a number of activities powered by interactive web and java applications.

Interactive Mathematics Miscellany and Puzzles:
http://www.cut-the-knot.com
Offers interactive geometry, probability problems, proofs, games and puzzles.

Introduction to Geometry:
http://tqd.advanced.org/2647/geometry/intro/intro.htm
This comprehensive geometry site covers all the basics. Very concise, but for the most part very readable, a student trying to get support in basic geometry topics is bound to find it here.

The Geometry Applet:
http://aleph0.clarku.edu/~djoyce/java/Geometry/Geometry.html
This site's applets illustrate some fundamental principles of Euclidean geometry, allowing the user to shift elements of geometric constructions and immediately see the result. This can be very helpful for the student seeing geometry for the first time.

Trigonometry

Introduction to Geometry:
http://tqd.advanced.org/2647/geometry/intro/intro.htm
This comprehensive geometry site covers all the basics. Very concise, but for the most part very readable, a student trying to get support in basic geometry topics is bound to find it here.

The Geometry Applet:
http://aleph0.clarku.edu/~djoyce/java/Geometry/Geometry.html
This site's applets illustrate some fundamental principles of Euclidean geometry, allowing the user to shift elements of geometric constructions and immediately see the result. This can be very helpful for the student seeing geometry for the first time.
Vector Calculator:
http://comp.uark.edu/~jgeabana/java/VectorCalc.html
This is a very simple applet that graphically adds two vectors specified by the user. It immediately gives the x and y components for the vectors, and will then display the resultant along with its x and y components.

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Liberal Arts Mathematics

Abacus:
http://www.ee.ryerson.ca:8080/~elf/abacus/
This is exactly what you would think, an electronic version of the ancient abacus. You have to appreciate the irony of using high performance technology to enable a demonstration of one of the least technology-oriented tools in all of mathematics. It's a fun site, and packed full of potential for term papers in liberal arts math courses.

Finite Mathematics and Calculus Applied to the Real World:
http://www.hofstra.edu/~matscw/tccombop.html
As many colleges and universities have developed Internet materials in support of courses, they have often elected to make that material publicly available. This site at Hofstra University presents many tutorials related to their course in applied mathematics and finite math. These tutorials feature animations and interactive features which really enhance the presentation of basic calculus concepts.

Introduction to Geometry:
http://tqd.advanced.org/2647/geometry/intro/intro.htm
This comprehensive geometry site covers all the basics. Very concise, but for the most part very readable, a student trying to get support in basic geometry topics is bound to find it here.

The Chance Database:
http://www.dartmouth.edu/~chance/
The Chance Database embraces one of the fundamental notions in math reform, that mathematics should be taught through real-life problems. This site seeks out statistics in the news, using these stories to reinforce basic notions of elementary statistics. Highly recommended as a statistics course term paper resource.

The Geometry Applet:
http://aleph0.clarku.edu/~djoyce/java/Geometry/Geometry.html
This site's applets illustrate some fundamental principles of Euclidean geometry, allowing the user to shift elements of geometric constructions and immediately see the result. This can be very helpful for the student seeing geometry for the first time.

Finite Mathematics

Express Mortgage Calculator:
http://www.mortgagestogo.com/calculators.asp
This is a fine example of a simple mortgage/loan calculator, in either HTML or Java format. You provide an amount, a length of time, and a rate, and the calculator will determine your monthly payment. Very handy.

Finite Mathematics and Calculus Applied to the Real World:
http://www.hofstra.edu/~matscw/tccombop.html
As many colleges and universities have developed Internet materials in support of courses, they have often elected to make that material publicly available. This site at Hofstra University presents many tutorials related to their course in applied mathematics and finite math. These tutorials feature animations and interactive features which really enhance the presentation of basic calculus concepts.

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Mathematics for Biological Sciences

Mathematics in Biology:
http://www.bio.brandeis.edu/biomath/top.html
This marvelous site makes extensive use of Shockwave to demonstrate fundamental concepts of use of mathematics in the biological sciences. The list of topics is exhaustive, and includes animated discussions of the mathematics in the human genome project, the application of differential equations to biology applications, and other similarly interesting presentations. The "Mathematical Sex and Violence Simulator" is especially intriguing, as it promises to tie together the areas of math, biology, sociology, and psychology.

Numerical Methods--Euler's Method:
http://calculus.sjdccd.cc.ca.us/ODE/7-C-1/7-C-1-map-ma.html
Euler's Method is given a complete work-up here, starting with an introduction to the basic concepts, and continuing through detailed solution of examples. The site concludes with a discussion of how to develop a program to calculate perform the necessary calculations.

Technical Mathematics

Vector Calculator:
http://comp.uark.edu/~jgeabana/java/VectorCalc.html
This is a very simple applet that graphically adds two vectors specified by the user. It immediately gives the x and y components for the vectors, and will then display the resultant along with its x and y components.

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Analysis

Numerical Methods--Euler's Method:
http://calculus.sjdccd.cc.ca.us/ODE/7-C-1/7-C-1-map-ma.html
Euler's Method is given a complete work-up here, starting with an introduction to the basic concepts, and continuing through detailed solution of examples. The site concludes with a discussion of how to develop a program to calculate perform the necessary calculations.

Linear Algebra

Internet Projects for Linear Algebra:
http://forum.swarthmore.edu/linear/linear.projects.html
This is the Swarthmore Forum's Linear Algebra site, which includes links to "Ask Dr. Math", as well as a link to several online linear algebra/matrix activities.

Linear Algebra Matrix Calculators:
http://www.mkaz.com/math/line_alg.html
This site allows you to perform various matrix calculations, including inverses, determinants, transposes, etc. This can be pretty handy if you find yourself at school without your calculator.

Advanced Mathematics

Differential Equations Java Generators:
http://www.sci.wsu.edu/idea/JCGTemplates/
On this site, the acronym IDEA stands for Internet Differential Equations Activities. The IDEA homepage can be accessed at http://www.sci.wsu.edu/idea/. While the entire site is worthwhile for any differential equations student, The Java Generators are particularly impressive. The Java site consists of a number of applets that the user can create by feeding parameters for particular problems into a submission form. The page then generates a Java Applet graphically representing various aspects of the problem in an interactive format. Applets include function plots, solution plots, phase portraits, and iterated map plots for difference equations.

Numerical Methods--Euler's Method:
http://calculus.sjdccd.cc.ca.us/ODE/7-C-1/7-C-1-map-ma.html
Euler's Method is given a complete work-up here, starting with an introduction to the basic concepts, and continuing through detailed solution of examples. The site concludes with a discussion of how to develop a program to calculate perform the necessary calculations.

Vector Calculator:
http://comp.uark.edu/~jgeabana/java/VectorCalc.html
This is a very simple applet that graphically adds two vectors specified by the user. It immediately gives the x and y components for the vectors, and will then display the resultant along with its x and y components.

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