Office hours M 2:30-3:30, W 12:30-1:30, or by appointment in MATH 303.

Syllabus for course

Text: S. Ross, A First Course in Probability (Pearson, 9th Edition)

Date | Section and Topic | Read before class | Homework (T denotes Theoretical Exercise) | 5510 |

August 26 | Organization and Counting | Sections 1.1-1.3 | HW 1 due Sept 4: Chpt 1: 1, 4, 8, 11, 12, 19, 24, 25, 28, T2, T3 | T5, T8, T11 |

August 28 | Permutations and Combinations | Section 1.4 | ||

August 30 | Binomial and Multinomial Coefficients | Section 1.5 | ||

September 4 | Sample spaces; Probabilities | Sections 2.1-2.3 | HW 2 due Sept 11: Chpt 2: 1, 2, 3, 7, 8, 12, 15, 16, T2, T3 | T5, T9 |

September 6 | Properties of probabilities | Sections 2.4, 2.5 | ||

September 9 | Equiprobable sample spaces | Section 2.5 | ||

September 11 | Conditional probability | Section 3.1, 3.2 | Homework 3 due Sept 18: Chpt 2; 23, 28; Chpt 3, 1, 2, 6, 8, 9, 10, T5 | T4, T7(a) |

September 13 | Conditioning on probability; Bayes's formula | Section 3.2, 3.3 | ||

September 16 | Law of total probability | Sections 3.3 | ||

September 18 | Independent events | Section 3.4 | Study for Exam 1: 1.2-1.5,2.2-2.5,3.1-3.3 | |

September 20 | Exam 1 | Have a great weekend! | ||

September 23 | Trials, P( |A) as a probability function, Intro to Random Variables | Sections 3.4, 4.1 | Test corrections due Wednesday, Sept 25 | |

September 25 | Random variables | Section 4.1 | HW 4 due Oct 2: Chpt 3; 59, 62; Chpt 4; 1, 4, 5, 6, 17, 18, 19, 21, 25, 27, T3 | T4, T5 |

September 27 | Discrete Random Variables | Section 4.2 | ||

September 30 | Expectation | Section 4.3 | ||

October 2 | Expectation of a function of a random variable | Section 4.4 | HW 5 due Oct 9; Chpt 4, 37, 38, 41, 43, 44, 51, 52, T7, T8 | T10, T14 |

October 4 | Variance | Section 4.5 | ||

October 7 | Bernoulli and Binomial Random Variables | Section 4.6 | ||

October 9 | Poisson random variables | Section 4.7 | HW 6 due Oct 16: Chpt 4, 59, 60, 63; Chpt 5, 1,2,3,4,5, T1 | Chpt 4, 62 |

October 11 | Other discrete random variables | Section 4.8 | ||

October 14 | Continuous random variables | Section 5.1 | ||

October 16 | Review | Study for Exam 2: Sections 3.4, 4.1-4.8, 5.1 | ||

October 18 | Exam 2 | |||

October 21 | Expectation and variance of continuous rvs | Section 5.2 | Test corrections due Wednesday, Sept 25 | |

October 23 | Uniform random variables | Section 5.3 | HW 7 due Nov. 1: Chpt 5; 7, 8, 11, 12, 15, 17, 18, 19, T1, T7 | T2, T3 |

October 25 | Normal random variables | Section 5.4 | ||

October 28 | Abnormal snow variables | |||

October 30 | More abnormal snow variables | |||

Nov. 1 | Normal approx to binomial rvs | Section 5.4.1 | HW 8 (half hw) due Nov 5: Chpt 5: 22, 25, 26, 28, T9 | T11 |

Nov. 4 | Exponential random variables, Gamma distribution | Sect 5.5, 5.6 | ||

Nov 6 | Dist of functions of random variables; Joint dist | Sect 5.7, Sect 6. 1 | HW 9 due Nov 13; Chpt 5: 32, 34, 41; Chpt 6: 1, 2, 6, 9, T1, T2 | Chpt 6: T4, T6 |

Nov 8 | Joint distributions | Sect 6.1 | ||

Nov 11 | Independent Random Variables | Sect 6.2 | ||

Nov 13 | Review | Study for Exam 3: Sections 5.2-5.7, 6.1-6.2 | ||

Nov 15 | Exam 3 | |||

Nov 18 | Distribution of a sum of random variables | Sect 6.3 | Test corrections due Nov 20 | |

Nov 20 | Conditional distributions: discrete case | Sect 6.4 | HW 10 due Dec 4: Chpt 6, 11, 13, 19, 20, 22, 23, 28, 29, 39, 40, 41, 42 | Chpt 6: 24, T7 |

Nov 22 | Conditional distributions: continuous case | Sect 6.5 | ||

Dec 2 | Expectation of sum of random variables redux | Sect 7.2 | ||

Dec 4 | Covariance | Sect 7.4 | HW 11 due Dec 11: Chpt 7; 1, 5, 7, 16, 30, 33, 37, 38, 40, 45; Chpt 8, 1 | Chpt 8, 6 |

Dec 6 | Correlation | Sect 7.4 |