Welcome to CPS 130 Yu Chen

Overview Proof by contradiction Proof by induction -Mathematical induction -Structural induction

For those of you who are bored 4 coins You can flip one coin at a time You will know the end of the game, if all the coins are of the same side How many steps will you need at least to guarantee the end of the game?

Proof by Contradiction

Flowers and People 5 people How many flowers at most? 2 of them will get the same number of flowers

More Maths! Irrational Number

Proof by Induction Mathematical Induction Structural Induction

Difference Equations Fibonacci: f(x)=f(x-1)+f(x-2) Where f(0)=0, f(1)=1 Closed form? What about f(x)=af(x-1)+bf(x-2)?

Tree

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