Lecture Notes for Introduction to ProbabilityLast changed:
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 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