Lecture Notes for Introduction to Probability

Last changed: Dec 12, 200009:01 PM

Please use the this Word document as your template. When using mathematical notation, try to follow these guidelines:

    use facilities that are available within Word, for example italic and boldface types for invariants and vectors, respectively, and Word's sub and superscript facilities. 

    Avoid using the equation editor in the middle of text as much as possible. 

    Use Equation editor only for complex formulas such as those involving matrices or long fractions. 

    When using the equation editor put the formula in a paragraph by itself, rather than in the middle of sentence.





 
    Lecture 1 (Word, PDF) September 13, 2000: Introduction to enumerative combinatorics

    Lecture 2 (Word, PDF) September 20, 2000: More enumerative combinatorics, principles of probability, inclusion/exclusion

    Lecture 3 (Word, PDF) September 25, 2000: More enumerative combinatorics, principles of probability, notion of random variables

    Lecture 4 (Word, PDF) October 2, 2000: joint, marginal, and conditional discrete random variables

    Lecture 5 (Word, PDF) October 14,2000: Conditional probability, expectation, variance, ordinary generating functions

    Lecture 6 (Word, PDF) October 18, 2000: More generating functions, convolutions, recursion

    Lecture 7 (Word, PDF) October 23, 2000: Don't have it yet!

    Lecture 8 (Word, PDF) October 30, 2000: Introduction to Markov Chains

    Lecture 9 (Word, PDF) November 6, 2000: Don't have it yet!

    Lecture 10 (Word, PDF) November 28, 2000: Markov chains continued. Continuous random variables

    Lecture 11 (Word, PDF) November 28, 2000: Continuous random variables

    Lecture 12 (Word, PDF) November 28, 2000: Continuous random variables continued

    Review Notes 1

    Review Notes 2:

    Review Notes 3: