Notes on the Mathematics of Symmetry (version: Spring 2013)
The last time I taught this course, I included a unit on fractals, using the notes below.
Fractal Notes (version: Spring 2013)
Here is a picture of the first three stages of a Menger Sponge, which my class built out of folded business cards (with no tape or glue):
In 2012-2013 I experimented with "flipping" my Precalculus class (having students view lectures online before class, and devoting more class time to working on problems). While the experiment was not entirely successful (and I'm happy to discuss it with anyone interested), the lectures may still be of interest. The lectures were written as pencasts using a Livescribe smartpen. The archive below contains all the lectures (it makes a rather large file, about 180 MB). Each lecture is a PDF file with an associated audio track (essentially, lecture notes with narration). The files may be viewed with any PDF viewer, but hearing the narration requires Adobe Reader version 10 or higher. The lectures are numbered by sections corresponding to the textbook I was using: Essentials of Precalculus by Zill and Dewar (5th edition). I did not always follow the order of sections in that book, however (for example, I covered Chapter 5, on Exponentials and Logarithms, before Chapter 4, on Trigonometric Functions).
Precalculus Lectures (.zip file)
Differential Geometry Project
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