links updated July 30, 2000
 

Algebra (I and II)

1. http://www.bremenbraves.com/algebra/
An interactive algebra I textbook.  Includes a really cool function plotter!

2. http://members.tripod.com/~gvogl/graph/graph.htm
 A function plotter for exploring composite functions.

3. http://www.math.unl.edu/~jorr/java/
 Applets at this site include:

• Grapher:   A general purpose function graphing program..
• ZoomGrapher:   A general purpose graphing program, with facility for zooming in on specified points.

 

1. http://www-sci.lib.uci.edu/HSG/RefCalculators2.html
 Contains links to many on-line calculators
 

1. http://www.math.ubc.ca/javamath/java.html
The Living Mathematics Project at UBC Mathematics is working to apply recent advances in computer programming languages and the technology of the World Wide Web to construct a new medium for the communication of Mathematics.

2. http://www.ma.utexas.edu/users/kawasaki/mathPages.dir/index.html
 Selected Topics in Calculus I:

• Introduction to Derivatives.
• Max-Min Problems.
• A function and its derivatives.
• Estimating Definite Integrals
 and Calculus II:
•  Plane Vectors I
•  Taylor Polynomials.


3.  http://www.math.unl.edu/~jorr/java/
 Applets at this site include:

• Grapher:   A general purpose function graphing program..
• ZoomGrapher:   A general purpose graphing program, with facility for zooming in on specified points.
• IntegGrapher:   A graphing program which demonstrates the definition of the integral in terms of successive approximations by Riemann sums.
• SecantGrapher:   A program to demonstrate the definition of the derivative in terms of the slope of approximating secant lines.


4. http://www.middlebury.edu/~caprioli/calculus/Integral.html
 An Integration Applet:  This applet computes the area under the given curve, the default being f(t)=1/t.

5. http://www.geocities.com/SiliconValley/2902/math.htm
 This site links a set of mathematical utilities:

• Evaluate a mathematical expression in n variables z1,z2,z3..
• Solve a single dimensional function f(z)=0 by Newton_raphson method.
• Minimize a function f(z0,z1,z2..) of n variables by a random search method.
• Minimize a function f(z1,z2,z3..) of n variables by simplex method. This method is efficient near the optimal region.
• Fit a curve to a set of data points.
• Integrate a function by Simpson's rule.


6.  http://www.simcalc.umassd.edu/simcalc/software/software.html
Part of the SimCalc website.  This curriculum offers several "MathWorlds" that can be downloaded for free.  The goal of the program is to make the big ideas of mathematics (and calculus) accessible to a wider range of students.

7. http://www.ies.co.jp/math/java/perime/perime.html
 An applet to explore the fundamental theorem of calculus

8. http://www.ies.co.jp/math/java/rolhei/rolhei.html
 An applet to explore Roll’s theorem and the Mean Value theorem

9. http://archives.math.utk.edu/visual.calculus/
Visual Calculus.  A website offering tutorials and interactive java applets to explore a wealth of calculus concepts.
 

1.  http://math.bu.edu/DYSYS/applets/index.html
Applets at this site include:
• The chaos game.  Yes, this is a game. Try to beat the computer by hitting specific targets via the moves of an iterated function system. This game allows students to understand the construction of the Sierpinski triangle via the chaos game.
• Fractalina.  This applet allows you to set up the vertices, compression ratios, and rotations associated to an iterated function system and then compute and view the resulting fractal.
• Fractanimate.  This applet allows you to string together a collection of fractal images generated by Fractalina into a movie.


2. http://php.indiana.edu/~ltomlin/waffle.html
 Fractal Waffle -- A Java realization of fractal geometry's Sierpinski gasket.

3. http://darkwing.uoregon.edu/~koch/java/Fractal.html
 Fractal -- a program that allows the user to generate their own fractals, step-by- step!!

4. http://www.unca.edu/~mcmcclur/java/Julia/
 Java Julia Set Generator

5. http://www.mindspring.com/~chroma/mandelbrot.html
 Explore the Madelbrot Set!

 

1. http://www.onr.com/stocks/hotjava.html
Several finance and investing based applets

2. http://www.intrepid.com/~robertl/index.html
 Online Applications that include many applets for stock market investing:

A Commissions Pricer

A Derivatives Pricer

A Loan Pricer

An Option Pricer

An Option Strategy Visualizer

A Portfolio Pricer

A Quote Sheet

An online Spreadsheet

Stock Volatility Charts

A Tax Pricer

  1.  http://www.cut-the-knot.com/games.html
A large collection of interactive mathematics puzzles and games

2. http://www.developer.com/directories/pages/dir.java.educational.math.puzzles.html
 A collection of 21 interactive games and puzzles

Geometry

1. http://aleph0.clarku.edu/~djoyce/java/Geometry/Geometry.html
This geometry applet is used to illustrate Euclid's Elements.

2. http://www.math.ubc.ca/javamath/Pythagoras/pythagoras.html
 This is an interactive proof of the Pythagorean Theroem.

3. http://www.ies.co.jp/math/java/pythagoras.html
 Contains several dynamic proofs of the Pythagorean Theroem!

4. http://www.keypress.com/sketchpad/java_gsp/
Info on how to publish Geometer Sketchpad sketches on the web -- plus several demos!

5. wysiwyg://13/http://space.tin.it/scuola/famancin/javageometry2.html
 An online environment similar to Cabri!

Number Theory & Discrete Mathematics

1. http://www.cs.washington.edu/homes/jbaer/classes/blaise/blaise.html
 Explore patterns in Pascal’s triangle (through the 121st row)!

2. http://www.math.ohio-state.edu/~btk/Pascal/
 Explore patterns in Pascal’s triangle (through the 650th row)!

Probability and Statistics

1. http://neyman.stat.uiuc.edu/~stat100/wwwpop.html
Applets include:

• DATA lets you do some simple statistical data analysis.
• CORRELATIONS asks you to match correlation coefficients with scatter plots.
• PUT POINTS lets you create your own scatter plot.
• BOX MODELS will perform simple simulations of drawing random samples from several types of known distributions (or define your own distribution)
• CHISQUARE lets you input the observed and expected counts in a simple chisquare table, will simulate the distribution of the chisquare statistic & estimate the P-Value.
• MONTY HALL - simulates the "Let’s Make A Deal" problem

2.  http://www.math.uah.edu/~stat/
The Virtual Laboratories in Probability and Statistics provides interactive, web-based modules and applets for students and teachers.   Modules include:

 

Buffon's Experiments	Card Experiments
Bernoulli Trials	The Ball and Urn Experiment
The Matching Experiment	Ball and Cell Experiments
The Poisson Process	Red and Black
Probability Spaces	Combinatorics
Distributions	Expected Value
Descriptive Statistics	Special Distributions
The Sample Mean	Interval Estimation
Sample Correlation and Regression	Goodness of Fit
Non-Parametric Methods

3.  http://www.stat.sc.edu/rsrch/gasp/
Links to several Applets including:

• A Regression Applet
• A Confidence Interval Applet
• The Lets Make a Deal Applet
• A Histogram Applet
• A Central Limit Theorem Applet
• Interactive Demonstration of the Power of a Hypothesis Test
• A Survival Analysis Applet
• A Normal Approximation to the Binomial Distribution
• A "Small" Effect Size Can Make a Large Difference
• Statiscope

4.  http://ruf.rice.edu/~lane/hyperstat/contents.html
HyperStat Online is an introductory-level hypertext statistics book that includes MANY interactive demos to illustrate statistical and probability concepts.

5. http://members.aol.com/Trane64/java/CardPowersim.html
A Monte Carlo Power Simulation! The Power Simulation applet uses a Monte Carlo algorithm to generate simulated answers to a hypothetical survey question.

6. http://www.math.csusb.edu/faculty/stanton/m262/
 Demo Applets include:

• Intro to Probability Models
• Hypergeometric Distribution
• Poisson Distribution
• Normal Distribution
• Proportions
• Confidence Intervals for Means
• The Central Limit Theorem
• Bivariate Normal Distribution
• Linear Regression
• Buffon's Needle

7. http://www.usfca.edu/histogram_explorer/he.html
Histogram Explorer.  The user can view different distributions (normal, uniform, symmetric, skewed, etc.) and analyze the descriptive statistics associated with the data shown in the histogram.

8. http://peabody.vanderbilt.edu/depts/tandl/mted/Proj6_CMT/6MiniTools.html
Computer Mini-Tools For Exploratory Data Analysis. Includes the Value Bar Mini-Tool and the Line Plot Mini-Tool
** Excellent for use with middle school students!

Sites with Comprehensive Lists of Java Links

1.  http://www.useekufind.com/learningquest

2. http://forum.swarthmore.edu/library/browse/static/resource_type/applets.html

3. http://www.ies.co.jp/math/java/index.html

4.  http://www.developer.com/directories/pages/dir.java.educational.math.html

5.  http://www.cut-the-knot.com

6. http://www.eoe.org

7. http://www.exploremath.com
 
8. http://www.mste.uiuc.edu/java/default.html

If you know of any great interactive mathematics websites,  let me know and I will add it to my page!