I've established a plan of attack for the course, based on the preferences
that were turned in to me. It is available on-line, at our course
website.
"Favorite section" handouts due next time. No new assignment today.
Assignment for next time:
Read 2.2 for next time; bring an artichoke, pinecone, dandelion, pineapple, or
something that illustrates Fibonacci numbers to class to share. Do problems
I.1; II.6, 9, 18, 21; III.28, to be handed in Friday, 9/16.
Our mission today:
Consider again
Section 2.1, "Number Contemplation":
Obviously 1729 is an interesting numbers; are all counting numbers
(natural numbers: 1, 2, 3, ....) interesting?
What is "the pidgeonhole principle"? What is it good for?
If we place n+1 objects in n boxes, then at least one box has two objects in
it.
Why do we know that there are two people on earth who have exactly
the same number of hairs on their bodies?
Do you have a temporal twin (someone who was born on the same day
as you, and will die on the same day)?
How many balls can fill this classroom?
I-471 is backed up from the Big Mac bridge at the Ohio river, to
Nunn drive. How many cars are stuck in traffic on that section?