We are rebuilding the University of Washington's online Math 126 course materials out in the open. We have just started. You can see the live course site (corresponding to the gh-pages branch of this repository) here.
The course notes have been (are being!) converted into markdown format. Each numbered folder corresponds to a lecture from the course; the old lecture slides are now markdown documents. Using pandoc, these documents can be convered to a bunch of formats:
- HTML5
- HTML5 slideshows
- LaTeX
- epub
If you look at the markdown pages, you will see chunks like this:
Question
--------
How does it feel to fly along this trefoil path?
<div id="trefoil">
<img src="media/lecture-1-trefoil.png"></img>
</div>
<script>
(function() {
var scene = new MathScene("trefoil");
var trefoilFunc = function(t) {
var t2, t3;
t2 = t + t;
t3 = t2 + t;
return 41 * Math.cos(t) - 18 * Math.sin(t) - 83 * Math.cos(t2) - 83 * Math.sin(t2) - 11 * Math.cos(t3) + 27 * Math.sin(t3);
};
var trefoilPoint = function(t) {
var kScale, x, y, z;
kScale = 0.01;
x = trefoilFunc(t);
y = trefoilFunc(6.283185 - t);
z = trefoilFunc(t - 1.828453);
return new THREE.Vector3(kScale * x, kScale * y, kScale * z);
};
var x = function (t) { return trefoilPoint(t).x; }
var y = function (t) { return trefoilPoint(t).y; }
var z = function (t) { return trefoilPoint(t).z; }
var ppath = new ParametricPathModel(x, y, z, [-4, 4], 1.3);
ppath.embedInScene(scene);
}());
</script>
The <img> tag holds a static image that might appear in a textbook, static website, ebook, etc. The <script> tag holds javascript that adds interactive models to the HTML5-rendered document. If you convert this Markdown to LaTeX, pandoc intelligently ignores the <script> and only renders the image into the document.
The files js/MathScene.js, js/marchingcubesraw.js, js/marchintetrahedraraw.js, js/surfacenetsraw/js (and others to come) give us a library of calculus-friendly client-side math functions. This library will grow as we add content and need new functions. (We will also eventually document things!) The latter three are mild modifications of files written by @mikolalysenko to compute isosurfaces. (Basically, we made them blob-friendly for the purpose of using web workers to compute the underyling geometry and keep the intensive calculations off of the main thread.)
All of the 3d rendering uses Three.js. We will eventually include more documentation about the MathScene and MathModel classes. There is nothing earth-shattering in there.
We will continuously add functionality over the next year. In the short term, we plan to:
- make all content epub friendly
- continue to enlarge the script collection to enable more content creation
- improve documentation
- abstract the framework from the content so that it is possible to easily do this with other courses