Monday 
January 8 
Introduction, Explanation of Grading,
Math Anxiety. 
Begin Coincidences, Birthday Problem 

Math Jazz: Chapter 1 
Magic Numbers: Chapter 5 

Wednesday 
January 10 
Related and Unrelated Events 
Monte Hall Game 
How to Calculate Probabilities 


Friday 
January 12 
More Coincidences 
Finishing up with Probabilities 
Calculate Probabilities 


Monday 
January 15 
Martin Luther King Jr. Day (no class) 

Wednesday 
January 17 
Chaos, Iterations and Small Variations. 
Butterfly Effect 
Rounding Error 
Population Formula 

Math Jazz: Chapter 2

Wednesday 
January 24 
Complex numbers, Complex plane 
Mandelbrot and Julia sets 
Coastlines of infinite length 


Wednesday 
January 31 
Fractals 
Sierpinski Gasket 
Cantor Line 
Definition of Dimension 


Monday 
February 5 
Definition by recursion 
Factorial 
Proof by Induction 


Wednesday 
February 7 
Fibonacci numbers 
Breeding Rabbits 


Friday 
February 9 
Golden Ration 
Relationship between Squares and
Rectangles 
Beauty and the Ancient Greeks 


Monday 
February 12 
Golden Ration and Fibonacci numbers 
Continued Fractions 
Limits, Cauchy Sequences, Real numbers 
Rational and Irrational numbers 
Equivalence classes 


Friday 
February 17 
Pascal's Triangle 
Some Nice Properties 
Sierpenski's Gasket and Pascal's
Triangle 


Monday 
February 20 
Binomial Formula 
Expanding out (x + y)^n 
Prove by induction that this
corresponds to Pascal's Triangle 


Wednesday 
February 22 
Prime numbers 
Relative Prime Numbers 
Divisibility 


Friday 
February 24 
Rational numbers 
Square root 2 is not rational 
Irrational Numbers 


Friday 
February 24 
Modular Arithmetic 
Examples of Clocks and Computers 
Operations in modular arithmetic 


Friday 
February 24 
Show that Z/(p) is a field when p is
prime (but don't define field) 
Explain difference between Z/(p) and
Z/(m) where m is not prime 

Magic of Numbers: Chapter 17 

Monday 
February 26 
Basic Codes 
(Possibly) Talk about Enigma 

Magic of Numbers: Chapter 21 

Wednesday 
February 28 
Fermat's Little Theorem 
Taking kth Roots 


Friday 
March 2 
Public Key Cryptography 
RSA 


Monday 
March 12 
Limits on Public Key Cryptography 
Limits of Computer Power 


Wednesday 
March 14 
Primitive Recursive Functions 
Encoding Primitive Recursive Functions 


Friday 
March 16 
Halting Problem 
NonPrimitive Recursive Functions 
Cantor's Diagonal Argument 


Monday 
March 19 
Recursive/Computable Functions 
mu Operator 
ChurchTuring Thesis 


Wednesday 
March 21 
Recursive/Computable Sets 
Recursively/Computably Enumerable Sets 


Monday 
March 26 
Turing Degrees/Reducibility 
Recursive Relative to a Function 
Turing Jump 


Wednesday 
March 28 


Wednesday 
February 28 
Connections
to Modern Computers 
Churches
Thesis 


Friday 
March 2 
Encoding
Computer Programs as Numbers 
Computer
Programs Which Run on Programs 


Monday 
March 12 
Halting Problem 
Why it isn't a solution to Churches
thesis 
Difference
between Computable and Computably Enumerable 


Wednesday 
March 14 
Definition of
Size of a set 
Monte Hall Game 
Calculate Probabilities 


Friday 
March 16 
Related and Unrelated Events 
Examples of
finite and infinite sets 


Monday 
March 19 
Operations on Infinite Sets 
+, *, Exponent 


Wednesday 
March 21 
There are
more reals than natural numbers 


Friday 
March 23 


Monday 
March 26 


Wednesday 
March 28 
Topology 
Equivalence
with Clay 


Friday 
March 30 


Monday 
April 2 


Wednesday 
April 4 


Friday 
April 6 


Monday 
April 9 


Wednesday 
April 11 


Friday 
April 13 


Monday 
April 16 


Wednesday 
April 18 


Friday 
April 20 

