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ANTICIPATED LECTURE TOPICS

Part I: BASIC PROBABILITY
 [Mon Jan 12] Introduction, Review of math prereqs. Memorize these!
 [Wed Jan 14] Probability on events (Sec 3.1 to 3.6 of book)
Examples from lecture
 [Fri Jan 16] Recitation: More review of math prereqs
Sheet1 and
Sheet2
 [Mon Jan 19] NO CLASS  MLK Day
 [Wed Jan 21] Discrete Random Variables, Expectation, Conditional Probability, Conditional Expectation (Sec 3.6 to 3.11 of book, but only the "Discrete" case).
Examples from lecture
 [Fri Jan 23] Recitation: More conditioning practice
Sheet1 and
Sheet2
 [Mon Jan 26] Expectation via Conditioning, Linearity of Expectation, start Variance (Sec 3.12 to 3.13 of book, but only "Discrete" case)
Examples from lecture and
Quiz
 [Wed Jan 28] Variance; Higher Moments, Random Sums of Random Variables (Sec 3.9, 3.13, 3.15 of book, but only "Discrete" case), starting Ztransforms
Examples from lecture
 [Fri Jan 30] Recitation: More on linearity of expectations and variance
Sheet1 and
Sheet2
 [Mon Feb 2] Ztransform (beginning of Chpt 25), starting Continuous Random Variables (Sec 3.8.2)
 [Wed Feb 4] Continuous Random Variables (Chpt 3.8.2 to 3.13, but only "Continous" case)
 [Fri Feb 6] Recitation  more Continuous examples
 [Mon Feb 9] Pareto distribution (Chpt 20 + Chpt 11.1 and 11.2)
 [Wed Feb 11] Normal distribution and Central Limit Theorem (Sec 3.14)
 [Fri Feb 13] Recitation
 [Mon Feb 16] Generating Random Variables for Simulation (Chpt 4)
 [Wed Feb 18] Laplace Transform
 [Fri Feb 20] Recitation  Review for Exam
 [Mon Feb 23] MIDTERM 1

Part II: RANDOMIZED ALGORITHMS
 [Wed Feb 25] Chernoff Bounds I
 [Fri Feb 27] Recitation: Review of Midterm I
 [Mon Mar 2] Chernoff Bounds II
 [Wed Mar 4] Introduction to Randomized Algs  Las Vegas algorithms:
Quicksort, kSelect
 [Fri Mar 6] NO CLASS: MidSemester Break
 SPRING BREAK
 [Mon Mar 16] Introduction to Randomized Algs  Monte Carlo algorithms:
Polynomial Multiplication, Matrix Multiplication, MinCut
 [Wed Mar 18] Advanced Randomized Algs  Hypercube routing, Streaming
 [Fri Mar 20] Recitation
 [Mon Mar 23] Advanced Randomized Algs  Primality Testing
 [Wed Mar 25] MIDTERM II
 [Fri Mar 27] Recitation: Discussion of Midterm 2 solutions

Part III: MARKOV CHAINS & QUEUES
 [Mon Mar 30] Discrete time Markov Chains (DTMCs) (Chpt 8)
 [Wed Apr 1] DTMC II (Chpt 8)
 [Fri Apr 3] Recitation
 [Mon Apr 6] DTMC III (Chpt 9)
 [Wed Apr 8] DTMC IV (Chpt 9)
 [Fri Apr 10] Recitation
 [Mon Apr 13] PageRank + Back to Exponential (Chpt 10)
 [Wed Apr 15] Poisson Process (Chpt 11)
 [Fri Apr 17] NO CLASS: Spring Carnival
 [Mon Apr 20] Continuoustime Markov chains (Chpt 12) + Little's Law (Chpt 6)
 [Wed Apr 22] M/M/1 + Scaling Examples + PASTA (Chpt 13)
 [Fri Apr 24] Recitation
 [Mon Apr 27] M/M/k + M/M/k/k (Chpt 14)
 [Wed Apr 29] Capacity Provisioning (Chpt 15)
 [Fri May 1] Recitation: Review for final