- You have an assignment due Wednesday.
- We decided last time that the final will be entirely in class, and
that you'll be able to take it at your convenience during finals week
(usual operating hours!) -- with the obvious caveat that you do not
discuss it with your peers. That means don't even mention it to each
other!
I'm passing around a sign-up sheet for day and time.
- It is time for course evaluations: please visit eval.nku.edu to give your feedback (and also to make sure that you will get access to your grades earlier).
- Amber will start us off today by showing us what she did with Jennifer's "image map" connecting theorems, definitions, etc.
- Then we continue discussing the material of section 5.1: The Derivative. We do so in the contect
of attempting to understand the article about "Pathological
Functions" in analysis.
- Last time we examined the random function of Figure 5, bounded
by
, which is also differentiable at
, then extend it to the function of figure 6, p. 803. We also took a look at the function
of figure 7, p. 804.
- Last time we examined the random function of Figure 5, bounded
by
- Now we want to consider the dyadic rational numbers, and the
examples of rather dramatic discontinuity in the rest of the paper. I think that if we can understand the example of
, we'll be doing well!
- Base 2 representation of real numbers
- Dyadic rational numbers have terminating representations -- i.e. they're pure sums of powers of 2.
- Fractal processes