Week 1:  General topic: Basic probability
         Demos: Intransitive dice, Monty Hall
        
         Events
         Tree Diagrams
         Sample space
         Sets
         Logic notation
         

Week 2:  General topic: Basic Counting

         Demos:
         1 to n counting, simple series
         Finite sums
         Induction


Week 3:  General topic: Conditional Probability 
         Demos: Penny trick?

         Conditional Probability
         Independence
         (only one class this week)


Week 4:  General topic: Counting
         Demos: Birthday paradox, coupon collector,
                Love machine

         Combinations and Permutations
         Balls into bins


Week 5:  General topic: Expectation
         Demos: HTH beats HHH
 
         Expectation
         Random variables


Week 6:  General topic: Graphs
         Demos: Die Hard 2

         Induction on graphs
         Invariants


Week 7:  General topic: Counting/Probability
         Demos: Derangements, Triangular Duel

         Derangements
         Triangular Duel
         Numeracy


------------------ SPRING BREAK -----------------------------

Game theory
Infinite sums
Harmonic series: Book-stacking, Desert Storm

Linear Recurrences - Hanoi, different variants
                   - Paper cutting with Fibonacci numbers

Counting - Mind-reading trick
Probabilistic sums - Card trick with sums

Wald's theorem - Jenga blocks
Random walks
Gambler's ruin
