- Your assignment is due.
- 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 the sign-up sheet for day and time again. Here's what I have so far:
- Monday 10:10-12:10 -- Justin
- Wednesday 10:30-12:30
- Amber
- Jennifer
- Mandy
- JT: ?
- Lindsay: ?
- Today is the last 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).
- Last time Amber started us off by showing us what she did with Jennifer's
"image map", connecting theorems, definitions, etc.
Then we continued 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.
In particular, we considered the dyadic rational numbers, and the example of rather dramatic discontinuity in the example of
. We encountered
- Base 2 representation of real numbers
- Dyadic rational numbers have terminating representations -- i.e. they're pure sums of powers of 2.
- Fractal processes
If I might add a few more:
- The number system in which we perform the analysis (real, complex). Axioms, topology, etc.
- Sequences (but these are simply special functions, whose domains are the natural numbers).