1. Collect Homework.
2. Discuss Sigma Notation and give examples
What is the sum of the numbers from 1 to 100?
Click here to learn about Gauss' answer
3. Introduction to Proof By Induction
Click here for the sum of cubes
4. Discuss example from The Imp In The bottle.
5. Inductive Logic Applied to Y2K
For those of you who can remember all the fuss about Y2K, here is application of Inductive reasoning to flying on the airlines.
On January 1, 2000, nobody will fly because that is the first dangerous day.
As a result, the system will remain untested until January 2, so nobody will fly then either, as that is now the first dangerous day.
Similarly, nobody will fly on January 3, 4, 5, etc. Thus we have the end of aviation as we know it!
6. 42 Methods of Mathematical Proof