MCS 256, Discrete Calculus & Probability, Spring 2010
Week Dates Monday Tuesday Wednesday Thursday Friday
 1 Feb. 8-12  Introduction
Algorithms
 Recurrences
 Induction
   Sequences & sums
 Unwinding.   Strong induction
 2 Feb. 15-19  Lab  Binomial
 theorem
   Difference
 calculus
 Polynomials
 3 Feb. 22-26  Stirling
 numbers
Higher/divided
differences
   Interpolating
 polynomials
 Wrap-up
 Review
 4 Mar. 1-5  Exam 1  Summation
 calculus
   Summation
 techniques
 Fundamental
 Theorem
 5 Mar. 8-12  Summation
 by parts
 Asymptotics
 L'Hospital
   Big Oh/Omega
 little oh, etc.
 Integrals
Stirling approx
 6 Mar. 15-19  Wrap-up
 Review
 Exam 2    Sets and
 logic
 How to
 count
 7  Mar. 22-26 Combinatorics  Ordered
 arrangements
   Selections
 Multisets
 Distributions
Break 3/27-4/5  Spring  Break    Spring  Break
 8 Apr. 6-9  Easter Monday  Probability
 models
   Probability
 calculations
 Wrap-up
 Review
 9 Apr. 12-16  Exam 3  Conditional
 probability
   Bayes's
 rule
 Random
 variables
 10 Apr. 19-23  Discrete
 distributions
 Special
 distributions
   Expectation
 pgf, mgf
 Techniques
MAA-St. T
 11 Apr. 26-30  Lab
 Review
 pgfs
 Review
MAY
DAY!
 Exam 4  Generating
 functions
 12 May 3-7  Manipulating
 ogfs
 Recurrences
 Diff eqs
   Homogeneous
 LRRwccs
 Nonhomogeneous
 LRRwccs
 13 May 10-14  Solving
 practice
     Divide &
 conquer
 Master
 Theorem
 14 5/17-18, 21-22  Wrap-up  Review  
 
Reading Day Final exam
Saturday-->
1:00-3:00
 15 May 24-25  Finals week  ends.      
1-14 Class days 13 14 13.6-14 13 13