Precalculus: An Investigation of Functions

A free, open textbook. This book is a college level precalculus and trigonometry text. A full course package was developed for this text as part of the Washington Open Course Library project.

Math in Society

A free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors, or a general quantitative reasoning course.

OpenTextBookStore

A site listing other high quality free and open math textbooks.

Graphing Tools

2D Graphing Calculator

Graph explicit, polar, and parametric curves. Calculate roots/zeros, max/mins, and intersections of graphed functions. Basic calculator functions. (Web based).

3D Grapher

Graph explicit and parametric surfaces, and parametric curves. (HTML5, web based).

SVG 2D grapher

A 2D graphing tool using SVG, for drawing textbook-style graphs (Web based)

Java 3D Grapher

Graph explicit, implicit, and parametric surfaces, vector fields, and parametric curves. (Java, web based, old and may not run).

Java 2D Grapher

Graph explicit, implicit, polar, and parametric curves, piecewise functions, and vector fields. (Java, web based, old and may not run).

Java ODE Grapher

Investigate 1st-4th order ODES and systems of 2-3 functions, with 2D and 3D graphs. (Java, web based, old and may not run).

Stats Tools

Histogram Grapher

Draws a histogram from a frequency table. Does not do any calculations (Web based)

BoxPlot Grapher

Draws comparative boxplots from one, two, or three 5-number summaries. Does not do any calculations (Web based)

Hypothesis Test Graph Generator

Creates an graph of the normal curve or t-distribution, and can shade critical regions and show the location of the test statistic. Does not do any calculations (Web based)

Normal/t Probabilities

Calculates probabilities for a normal or t distribution, given mean and standard deviation (Web based)

Learning/Exporation Tools

Flash Cards

Select a question and options and generate a customized link into a flash card generator, with problems in arithmetic and basic algebra (Web based)

Multiples Explorer

Visually explore integer multiples

ODE Numerical Solver

Numerically solve systems of first order differential equations using a 4th order Runge-Kutta method.

Line Explorer

A simple graph explorer for a line with sliders for slope and intercept. Intended as a demo of jsxGraph.

Parabola Explorer

A simple graph explorer for a parabola with sliders for the parameters. Intended as a demo of jsxGraph.

Presentation Slides/Resources

Open Course Library, WAMATH 2010

Math 107 on $10, WAMATH 2010

Wiimotes and Robots, WAMATH 2009

Free Online Mathematics Assessment and Course Management System, AMATYC 2009

Programming Projects

IMathAS

IMathAS is a web-based math assessment and homework system. It is a course/learning management system and testing system featuring algorithmic questions, similar to WebWork, Webassign, and publisher systems like iLrn, MathXL, etc. IMathAS is written in PHP, and uses MySQL. IMathAS is released under the GPL

More Info about IMathAS

ASCIIMath TeX Converter and Image Fallback

This set of scripts provide functions for converting ASCIIMath calculator style notation to TeX strings, and provide drop-in replacements for ASCIIMathML.js providing serverside image rendering when the client does not support MathML.

Also available are a server-side ASCIIMath to TeX script, and a Moodle filter for rendering ASCIIMath notation as images

These scripts are derived from Peter Jipsen's ASCIIMathML script.

See a demo and download

Graphers

These graphing projects consist of 3D, 2D, and ODE graphing applets, built off the incredible JavaView API. They are written in Java. Please note that while my source is being released under the GPL, the JavaView API is not GPL'd and is not open-source. Please view the copyright notice from the creators of JavaView. Running the Grapher on your local machine also requires a free registration of JavaView

Be aware that JavaView is unsigned, as are these applets, so they won't run in most browsers anymore

Use the Graphers

If you just wish to put the grapher applets on your website, you do not need the source code. You can download the compiled .jar files from the grapher page. View Source on the grapher pages to see how to embed the applet in an HTML file.

Download source code: 3D Grapher source, 2D Grapher source, ODE Grapher source

TinyMCE AsciiMath/AsciiSvg Plugins

A joint project with Peter Jipsen of Chapman University, these plugins use Peter's incredible ASCIIsvg and ASCIIMathML scripts to allow for live editing of math and graphs in the TinyMCE online text editor. These plugins require no modification to the TinyMCE editor, and provides image-based fallback for math and graph when the browser does not support MathML and/or SVG.

The latest version is available in the IMathAS source

TinyMCE Amazon S3 File and Image Browser

This project is a super-simple file and image manager for the TinyMCE editor using Amazon S3 for file storage. Code for multi-user systems can be added so each user has their own file storage. Requires PHP5.