Spring 2012

Topics | Book chapters | Weeks |
---|---|---|

Combinatorial
analysis Axioms of probability Conditional probability and independence |
1,2,3 | 1-4 |

Random variables | 4,5 | 5-8 |

Joint distributions | 6 | 9-10 |

Expectation | 7 | 11-12 |

Limit theorems and other topics | 8,9 | 13-14 |

In addition to attending the lectures, you should be reading the text book since there won't be time to discuss all the material in class.

Each lecture has specific homework problems associated to it, as listed in the chart below. I strongly suggest doing the homework the same day as the corresponding lecture, or the next day at the latest (see in particular the figure I passed out on the first day of class titled "The value of rehearsal after a lecture").

The homework is hard on purpose! The way you really learn this stuff is to struggle with it, and to talk about it, with me and your classmates.

You turn in the problems for the past week's lectures (i.e., last Friday, this past Monday, and this past Wednesday) each Friday, in an envelope on my office door by 2 pm. You may discuss the homework with other students, however, you must write up solutions on your own.

Forget What You Know About Good Study Habits appeared in the *Times*
in Fall 2010. It offers some advice about studying based on current
pedagogical research.

Teaching and Human Memory, Part 2 from *The Chronicle of Higher
Education* this past December. Its intended audience is professors, but
I think it's worth it for students to take a look as well.

Reasoning

Lecture | Chapter(s) | Problems | Theoretical exercises | Due date |
---|---|---|---|---|

W 1/18 | 2 | 4, 6 | 2, 3, 4 | 1/20/2012 |

F 1/20 | 2 | 9, 13 | 5, 9, 12 | 1/27/2012 |

M 1/23 | 1 2 |
7, 8, 14 | 2, extra problem
18 |
1/27/2012 |

W 1/25 | 1 | 10, 19, 31 | 13, 14 | 1/27/2012 |

F 1/27 | 1 2 |
21 15, 26, 27 | 23 (Hint: you may use the result of T.E. 11) 20 |
2/3/2012 |

M 1/30 | 2 | 32, 44, 45, 54 | extra problem | 2/3/2012 |

W 2/1 | 3 | 8, 13, 18 | 3, 5 | 2/3/2012 |

F 2/3 | 3 | 22, 27, 37 | 6, 10 | 2/10/2012 |

M 2/6 | 3 | 44, 46, 53 | 11, 15 | 2/10/2012 |

W 2/8 | 3 | 67, 86 | 14, 28, 29 | 2/10/2012 |

W 2/15 | 4 | 4, 5, 6 | 1, 2 | 2/17/2012 |

F 2/17 | 4 | 15, 17, 18, 20 | 4, 6, 9 | 2/24/2012 |

M 2/20 | 4 | 21, 22, 26 | 13, 14 | 2/24/2012 |

W 2/22 | 4 | 53, 57, 65 | 16, 19 | 2/24/2012 |

F 2/24 | 4 | 66, 70 | 20 | 3/2/2012 |

M 2/27 | 4 | 72, 73, 75 | 25, 27 | 3/2/2012 |

W 2/29 | 4 | 78, 79, 85 | 28, 36 | 3/2/2012 |

F 3/2 | 5 | 2, 6, 7 | 2, 3 | 3/9/2012 |

M 3/5 | 5 | 8, 11, 15, 16 | 6, 9 | 3/9/2012 |

W 3/7 | 5 | 18, 21, 29, 31 | 13, 18, 27 | 3/9/2012 |

M 3/19 | 6 | 2, 8, 11, 15 | 1 | 3/23/2012 |

W 3/21 | 6 | 17, 20, 24 | 2, 9, 11 | 3/23/2012 |

F 3/23 M 3/26 | 6 | 25, 26, 28 | 14, 17 | 3/30/2012 |

W 3/28 | 6 | 29, 30, 33, 34 | 18 | 3/30/2012 |

F 3/30 | 6 | 43, 46, 47 | 20, 21, extra problem | 4/6/2012 |

M 4/2 | 6 | 45, 48, 49 | 24, 25 | 4/6/2012 |

W 4/4 | 7 | 2, 5, 9 | 7,8 | 4/6/2012 |

F 4/6 | 7 | 12, 14, 19, 25 | 10, 14 | 4/13/2012 |

M 4/9 | 7 | 28, 38, 50 | 17, 26 (discrete only), 27 | 4/13/2012 |

W 4/11 | 7 | 56, 61, 62 | 29, 32 | 4/13/2012 |

F 4/13 | 7 | 45, 46, 48 | 4/20/2012 | |

W 4/18 | 8 | 1, 2, 9 | 2, 4 | 4/20/2012 |

F 4/20 | 8 | problems | 5 | 4/27/2012 |

M 4/23 | 8 | 14, 19, 21 | 6, 7, 8 | 4/27/2012 |

W 4/25 | 8 | 11, 15 | 9 | 4/27/2012 |