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.

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, implicit, and parametric surfaces, vector fields, and parametric curves. (Java, web based).

2D Grapher

Graph explicit, implicit, polar, and parametric curves, piecewise functions, and vector fields. (Java, web based).

ODE Grapher

Investigate 1st-4th order ODES and systems of 2-3 functions, with 2D and 3D graphs. (Java, web based).

SVG 2D grapher

A 2D graphing tool using SVG (Web based)

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.

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

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

This project is a porting of the HTMLArea AsciiMath/AsciiSvg plugins (see below) to work with the TinyMCE 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.

See a demo and download source

TinyMCE Amazon S3 File and Image Browser

This project is a super-simple file and image browser 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.

Download

Table Locked Headers

A javascript script that allows you to lock the header row and column of an html table. Example and download

HTMLArea 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 a web page text editor.

These plugins required substantial modification to the HTMLArea web-based editor. For that reason, this distribution includes a pared-down copy of the HTMLArea editor distribution with the plugins installed, along with a demo.

The version of HTMLArea used in Moodle 1.5.3, a course management system, was also modified to use these plugins. Download. Note that this required modification to several files that ship with Moodle, and this integration may not work in more recent versions of Moodle.

See a demo

Download source

Survey Builder

Survey Builder is a system designed for designing and implementing web-based surveys. It includes a design system, an administration system, and a presentation system.

Survey Builder is built as a set of PHP scripts. JavaScript is used in the Survey designer, and in the surveys for input validation. Results are stored in comma-separate-value (CSV) files. This system does not use MySQL or any other database system; it was designed for simplicity of setup.

Take a demo survey

Download SurveyBuilder. SurveyBuilder is licensed under the GPL

David Lippman

Writing Projects