General Information | Schedule | Homework | Exams | Project |

Dates | Sections in Text | Brief Description | Materials |
---|---|---|---|

3/24 | 1.1-1.2 | Probability: mathematics and empiricism | R code for deMere |

3/26 | 1.2 | Measures, Axioms and Distributions | Worksheet |

3/27 | n/a | Introduction to R | R as a calculator, Intro workshop |

3/28 | 1.2, 3.1 | More measures, intro to counting | Polya Urn model |

3/31 | 3.1 | Counting and Permutations | fixedPoints.R |

4/2 | 3.1,3.2 | Combinations | |

4/3 | R programs | Tossing coins and Polya's urn | Templates: coinTosses.R, polyaUrn.R |

4/4 | 3.2 | Binomial distribution, inclusion-exclusion | Worksheet |

4/7 | 4.1 | Conditional probability | |

4/9 | 4.1 | Independence | Worksheet, solutions |

4/10 | R Programs | Gambler's ruin | Template: gamblersRuin.R |

4/7 - 4/11 | 4.1-4.3 | Conditional probability and paradoxes | |

4/14 | 6.1 | Expected value | |

4/16 | 6.1 | More expected value | |

4/18 | 6.2 | Variance | |

4/21 | 5.1 | Uniform, binomial and geometric distributions | Worksheet |

4/23 | 5.1 | Poisson, negative binomial and hypergeometric distributions | Worksheet |

4/25 | 8.1 | Coupon collector, Markov and Chebyshev inequalities | Worksheet |

4/28 - 5/2 | 8.1 | Law of large numbers | |

4/30 - 5/2 | 2.2,5.2 | Continuous probability and the law of large numbers | |

5/5 - 5/9 | 9.1,9.2 | The central limit theorem | |

5/12 - 5/16 | 11.1,11.3,11.4 | Ergodic Markov chains | |

5/19 - 5/23 | 11.2 and more | Absorbing Markov chains | |

5/28 | Review |