Date  What's Up? 

04/25/2008 
Last Meeting  All about Number Theory  Quiz 8  1 is the smallest positive integer Supplementary Document Recitation 13 PowerPoint Recitation 13 Supplementary Exercises Today's Music:

04/18/2008 
Probability Revisited: Addition Rule and Multiplication Rule  Addition Rule: If A and B are disjoint events (the intersection is empty), then Pr(A\cup B)=Pr(A)+Pr(B).  Multiplication Rule: If A and B are independent events, then Pr(A\cap B)=Pr(A)Pr(B). This is in fact the definition of independence of events. Conditional Probability & Independence, Revisited Random Variables & Independent Random Variables > Random variable is a function from the set of possible outcomes S to any (nonempty) set V. V does not have to be a numerical set. Expectation > Expectation of a random variable is only defined on a numericalvalued random variable (even though random variables may give some other value than numberssee above). > Linearity of expectation always applies to any two numericalvalued random variables. The random variables need not be independent. Recitation 12 Supplementary Exercises Today's Music:

04/11/2008 
Nonplanarity of Petersen's Graph  Exercises 52.8 Probability: Sample Space & Events  Exercises 30.12 Conditional Probablity Independence  Exercises 31.17 Quiz 7 Recitation 11 Supplementary Exercises Today's Music: Timbaland (Feat. One Republic)  Apologize [Presents: Shock Value / 2007] 
04/04/2008 
Euler Tour: Proof by Example Hamiltonian Path/Cycle  Exercises 49.16, 48.6 Complete Bipartite Graph Coloring  Exercises 51.7 Planar Graph  Exercises 52.2 (c) Recitation 10 PowerPoint Recitation 10 Supplementary Exercises Today's Music: Taylor Swift  Teardrops On My Guitar (Radio Edit/Pop Version) [Taylor Swift / 2008] 
03/28/2008 
Trees  Exercises 49.9, 49.14 (a) and (b), 49.7 Quiz 6 Supplementary Document Recitation 9 Supplementary Exercises Today's Music:

03/21/2008 
Quick Review of Graph Definitions Quiz 5 The Seven Bridges of Konigsberg Euler Tour Recitation 8 Supplementary Exercises Today's Music: Matchbox Twenty  If You're Gone [Mad Season / 2000] 
03/14/2008  No Meeting: Spring Break 
03/07/2008 
Midterm Solution Today's Music: Daughtry  Home [Daughtry / 2006] 
02/29/2008 
2008 is a leap year! Application of the Pigeonhole Principle  Exercises 24.3 Proof by Smallest Counterexample  Exercises 21.3 (d) Proof by Induction  Exercises 21.3 (d), 21.9 Quiz 4 LaTeX Symbol Set #6 Today's Music: Dave Koz  You Make Me Smile [Lucky Man / 1983] 
02/22/2008 
LaTeX Tutorial Topics LaTeX Tutorial Sample PDF LaTeX Tutorial Sample TEX Warm Up: Exercise 16.20 Quiz 3 Functions Inverse of Functions  Exercises 23.13 Supplementary Document LaTeX Symbol Set #5 Today's Music: The Human League  Don't You Want Me [Greatest Hits / 1995] 
02/15/2008 
Quiz 2 Revisited Relations  Exercises 13.5 Equivalence Relations  Exercises 14.3 Partitions  Exercises 15.13 Binomial Coefficients  Exercises 16.3 Supplementary Document LaTeX Symbol Set #4 Today's Music:

02/08/2008 
Warm Up: Exercise 9.9 Set Difference Power Set  Self Test 210(b), 211(a) Combinatorial Proof  Self Test 218 Proof by Contradiction  Exercises 19.8 Quiz 2 LaTeX Symbol Set #3 Today's Music: The Corrs  Breathless [In Blue / 2000] 
02/01/2008 
Logical Equivalance  Self Test 112 Set: Membership vs Subset  Exercises 9.3, 9.7 Quantifiers  Exercises 10.1, 10.2 [(f) and (j)] Simple Counting Problem  Exercises 7.14 Quiz 1 LaTeX Symbol Set #2 Today's Music: Lifehouse  First Time [Who We Are / 2007] 
01/25/2008 
First Meeting  Icebreaker and Introduction  [if..then] vs [if and only if]  Vacuous Truth  Simple Proofs >> Exercises 4.5, 4.13  Precise Definition >> Exercises 3.8 LaTeX Symbol Set #1 
01/18/2008  No Meeting: Enjoy your long weekend. 