Quote of the Day:
"Mathematics -- this may surprise or shock some -- is never 
   deductive in creation."  -- Paul Halmos

Objectives:
The student will learn the difference between inductive 
  reasoning and deductive reasoning.

The student will prove theorems using induction.


1. Collect Homework.

2. Discuss Sigma Notation and give examples

     What is the sum of the numbers from 1 to 100?

        Click here for a comic about Summation

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. Show comic strip about proof by induction.

7. 42 Methods of Mathematical Proof

9. Assignment:
    p. 402 (1, 3, 4, 7, 8, 15, 17)

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