S17 Class 23: Fractals

Before class, watch the lecture material linked below.
Post at least one question or comment on Piazza (access via Canvas or directly).  See "Check Yourself" Q1 for details.
Check yourself via the Class 23 Check Yourself on Canvas (Due by 11:59pm on Wed Apr 18th)
In class, we'll work on related ideas: (activity will be posted)
After class, complete the homework (problems due Friday Apr 28th)

Videos:
The attractors in our examples of chaotic systems (Lorenz 1963, and the logistic map) have structure that is best understood with some background about fractal dimension and fractals.  The four videos below start with countable vs. uncountable sets because it's a particularly important idea for fractal set, then cover a key example (the Cantor set) + two ways to think about dimension for a fractal. 

Text sections: 11.1-4

Videos:
V01 (Sa)  |  Countable vs uncountable sets  (All)  |  11 min
V02 (Sa)  |  Cantor set  (All)  |  12 min
V03 (Sa)  |  Similarity Dimension  (All)  |  13 min
V04 (Sa)  |  Box Dimension  (All)  |  7 min
43 minutes.