- Today:
- Return Exam 1:
- key
- Does homework lead to
better test results?
- Model predicts: each homework point earned
meant an extra .4763 points on the test
- Upshot: do your homework, get a better score!
- I think attendance might have something to do with
it, too....
- You can get back 20% of the points you missed by stopping
by and discussing your exam with me.
- Homework 3.1 is due
- Project idea (one page typed) and partner choice due next time
- Your project is worth 20 percent of your final grade
- There are six "orange" stages on
our schedule; you get
one of those 20 points
every time you meet a stage satisfactorily. The other
14 points will be determined by your final paper and
your presentation.
- I will return these to you next Monday
- Revisions to these ideas will be due next Wednesday
- A look back at infinity:
- Let's look back at these curious problems (pp. 157):
- 14 - counting cubes
- 16 - Hotel Cardinality
- 17 - Hotel Cardinality (cont.)
- 18 - Hotel Cardinality and the Infinite Life Insurance Co.
- Hotel Cardinality and the Limitless Bus Barn Co.
- The ping-pong ball conundrum
- The ping-pong ball conundrum is related to other
paradoxical ideas, such as Zeno's
paradoxes
- The Power set
- set of all subsets of a set
- Power sets lead to bigger sets
- this is true even in the case of infinite sets!
- Real numbers are a bigger infinity!
- Real numbers include all those with decimals
- Some repeat; some don't repeat, ever. It's those
non-repeating ones that are so
numerous. They're called "irrational numbers",
like the number pi.
- No room at the Motel Infinity for the reals!
- The Pythagorean Theorem
- A baseball diamond is really a square measuring 90 feet on
a side.
How far does the catcher have to throw the ball
to catch a player attempting to steal second?
- The Pythagorean Theorem -- what is it? Why is it
important?
- Proof of the Pythagorean Theorem
- Problem #12, p. 214: what the scarecrow said.
Website maintained by Andy Long.
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