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Here you will find lecture notes for this course when available.

1. 180B Lecture notes on conditional expectations and best linear predictions
    
2. 180B Lecture notes including Markov chains and the first step analysis (Revised 1/27/2011).
    
3. 180B Lecture Notes including Markov chains and the first step analysis and Random Walks (Revised 2/3/2011)
    
4. 180B Lecture Notes including Markov chains and the first step analysis and Random Walks (Revised 2/7/2011)
   (Fixed some typos and added one more example alluded to in class today.)
    
5. 180B Lecture Notes including long run behavior of Markov chains.
    
6. 180B Lecture Notes including long run behavior of Markov chains (expanded)
    
7. 180B ecture Notes including continuous distributions and exponential random variables.