HONR 399, Fall 2010

(HONR 39900-001; Banner CRN 43504)

Email: mdw@purdue.edu

Office: MATH 540

Phone: 765-496-9563

Dr. Ward is available for walk-in or scheduled appointments anytime, throughout the week.

He is also always guaranteed to be available MWF, 7:30 AM -- 8:20 AM, in MATH 540.

- Problem Set 1 assigned Mon, Aug 23; due Wed, Aug 25 at 8:30 AM (solutions)

- Problem Set 2 assigned Wed, Aug 25; due Fri, Aug 27 at 8:30 AM (solutions)

- Problem Set 3 assigned Fri, Aug 27; due Mon, Aug 30 at 8:30 AM (solutions)

- Problem Set 4 assigned Mon, Aug 30; due Wed, Sep 1 at 8:30 AM (solutions)

- Problem Set 5 assigned Wed, Sep 1; due Fri, Sep 3 at 8:30 AM (solutions)

- No Problem Set 6 assigned.
- Problem Set 7 assigned Wed, Sep 8; due Fri, Sep 10 at 8:30 AM (solutions)

- Problem Set 8 assigned Fri, Sep 10; due Mon, Sep 13 at 8:30 AM (solutions)

- Problem Set 9 assigned Mon, Sep 13; due Wed, Sep 15 at 8:30 AM (solutions)

- Problem Set 10 assigned Wed, Sep 15; due Fri, Sep 17 at 8:30 AM (solutions)

- Problem Set 11 assigned Fri, Sep 17; due Mon, Sep 20 at 8:30 AM (solutions)

- Problem Set 12 assigned Mon, Sep 20; due Wed, Sep 22 at 8:30 AM (solutions)

- Problem Set 13 assigned Wed, Sep 22; due Fri, Sep 24 at 8:30 AM (solutions)

- Problem Set 14 assigned Fri, Sep 24; due Mon, Sep 27 at 8:30 AM (solutions)

- Problem Set 15 assigned Mon, Sep 27; due Wed, Sep 29 at 8:30 AM (solutions)

- Problem Set 16 assigned Wed, Sep 29; due Fri, Oct 1 at 8:30 AM (solutions)

- Problem Set 17 assigned Fri, Oct 1; due Mon, Oct 4 at 8:30 AM (solutions)

- Problem Set 18 assigned Mon, Oct 4; due Wed, Oct 6 at 8:30 AM (solutions)

- Problem Set 19 assigned Wed, Oct 6; due Fri, Oct 8 at 8:30 AM (solutions)

- Problem Set 20 assigned Wed, Oct 13; due Fri, Oct 15 at 8:30 AM (solutions)

- Problem Set 21 assigned Fri, Oct 15; due Mon, Oct 18 at 8:30 AM (solutions)

- Problem Set 22 assigned Mon, Oct 18; due Wed, Oct 20 at 8:30 AM (solutions)

- Problem Set 23 assigned Wed, Oct 20; due Fri, Oct 22 at 8:30 AM (solutions)

- Problem Set 24 assigned Fri, Oct 22; due Mon, Oct 25 at 8:30 AM (solutions)

- Problem Set 25 assigned Mon, Oct 25; due Wed, Oct 27 at 8:30 AM (solutions)

- Problem Set 26 and pictures for Problem Set 26 assigned Wed, Oct 27; due Fri, Oct 29 at 8:30 AM (solutions)

- Problem Set 27 assigned Fri, Oct 29; due Mon, Nov 1 at 8:30 AM (solutions)

- Problem Set 28 assigned Mon, Nov 1; due Wed, Nov 3 at 8:30 AM (solutions)

- Problem Set 29 assigned Wed, Nov 3; due Fri, Nov 5 at 8:30 AM (solutions)

- Problem Set 30 assigned Fri, Nov 5; due Mon, Nov 8 at 8:30 AM (solutions)

- Problem Set 31 assigned Mon, Nov 8; due Wed, Nov 10 at 8:30 AM (solutions)

- Problem Set 32 assigned Wed, Nov 10; due Fri, Nov 12 at 8:30 AM (solutions)

- Problem Set 33 assigned Fri, Nov 12; due Wed, Nov 17 at 8:30 AM (note the extension of the due date) (solutions)

- No Problem Set 34 assigned (the Chapter 34 material will be combined with Problem Set 35).
- Problem Set 35
assigned Wed, Nov 17; due Fri, Nov 19 at 8:30 AM
(solutions)

- Problem Set 36
assigned Fri, Nov 19; due Mon, Nov 22 at 8:30 AM
(solutions)

- Problem Set 37 assigned Mon, Nov 29; due Wed, Dec 1 at 8:30 AM
(solutions)

- Problem Set 38 assigned Wed, Dec 1; due Fri, Dec 3 at 8:30 AM (solutions)
- Problem Set 39 assigned Fri, Dec 3; due Mon, Dec 6 at 8:30 AM (solutions)

Flash demonstration of inclusion-exclusion, created by William Hess on August 28, 2010

radiolab show on "stochasticity", sent to me by Vanessa Green from the Center for Coastal Margin Observation & Prediction at Oregon Health & Science University

Other sites that students create or discover? Please let Dr. Ward know.

Week 1: | Mon, Aug 23 Chapter 1: Outcomes and sample spaces Problem Set 1 (solutions) |
Wed, Aug 25 Chapter 2: Events and probability Problem Set 2 (solutions) |
Fri, Aug 27 Chapter 3: More events and probability Problem Set 3 (solutions) |

Week 2: | Mon, Aug 30 Chapter 4: Conditional probability Problem Set 4 (solutions) |
Wed, Sep 1 Chapter 5: Bayes' theorem Problem Set 5 (solutions) |
Fri, Sep 3 Chapter 6: More about conditional probability and Bayes' theorem (No Problem Set 6 assigned.) |

Week 3: | Mon, Sep 6 (no lecture) Labor Day |
Wed, Sep 8 Chapter 7: Independent events Problem Set 7 (solutions) |
Fri, Sep 10 Chapter 8: Random variables; cumulative distribution functions Problem Set 8 (solutions) |

Week 4: | Mon, Sep 13 Chapter 9: Discrete random variables; probability mass functions; conditional mass functions Problem Set 9 (solutions) |
Wed, Sep 15 Chapter 10: Independent random variables Problem Set 10 (solutions) |
Fri, Sep 17 Chapter 11: Expected values of discrete random variables Problem Set 11 (solutions) |

Week 5: | Mon, Sep 20 Chapter 12: Expected values of sums of random variables (also known as Magic Day!) Problem Set 12 (solutions) |
Wed, Sep 22 Chapter 13: Expected values of functions of discrete random variables; variance of discrete random variables Problem Set 13 (solutions) |
Fri, Sep 24 Chapter 14: Higher moments of discrete random variables Problem Set 14 (solutions) |

Week 6: | Mon, Sep 27 Chapter 15: Bernoulli and Binomial random variables Problem Set 15 (solutions) |
Wed, Sep 29 Chapter 16: Poisson random variables; Poisson approximation Problem Set 16 (solutions) |
Fri, Oct 1 Chapter 17: Geometric random variables; waiting times; negative binomial random variables Problem Set 17 (solutions) Supplement: Five Friendly Facts about Discrete Random Variables |

Week 7: | Mon, Oct 4 Chapter 18: Counting Problem Set 18 (solutions) |
Wed, Oct 6 Chapter 19: Counting (Part 2), and hypergeometric random variables Problem Set 19 (solutions) |
Fri, Oct 8 Calculus Review (no new Chapter today) (no Problem Set today) |

Week 8: | Mon, Oct 11 (no lecture) October Break |
Wed, Oct 13 Chapter 20: Continuous random variables; probability density functions Problem Set 20 (solutions) |
Fri, Oct 15 Chapter 21: Joint densities Problem Set 21 (solutions) |

Week 9: | Mon, Oct 18 **Dinner at the Ward family home** Chapter 22: Independent continuous random variables Problem Set 22 (solutions) |
Wed, Oct 20 Chapter 23: Conditional distributions for continuous random variables Problem Set 23 (solutions) |
Fri, Oct 22 Chapter 24: Expected values of continuous random variables Problem Set 24 (solutions) |

Week 10: | Mon, Oct 25 Chapter 25: Expected values of functions of continuous random variables Problem Set 25 (solutions) |
Wed, Oct 27 Chapter 26: Continuous uniform random variables Problem Set 26 and pictures for Problem Set 26 (solutions) |
Fri, Oct 29 Chapter 27: Normal random variables Problem Set 27 (solutions) |

Week 11: | Mon, Nov 1 Chapter 28: Sums of independent normal random variables Problem Set 28 (solutions) |
Wed, Nov 3 Chapter 29: Central Limit Theorem, and Laws of Large Numbers Problem Set 29 (solutions) |
Fri, Nov 5 Chapter 30: Central Limit Theorem: Normal Approximations to Binomial and Poisson Random Variables Problem Set 30 (solutions) |

Week 12: | Mon, Nov 8 Chapter 31: Exponential random variables; waiting times Problem Set 31 (solutions) |
Wed, Nov 10 Chapter 32: Distribution of functions of continuous random variables Problem Set 32 (solutions) |
Fri, Nov 12 Chapter 33: Joint density of two random variables that are functions of another pair of random variables Problem Set 33 (solutions) |

Week 13: | Mon, Nov 15 Chapter 34: Variance of sums of random variables No Problem Set 34 assigned (the Chapter 34 material will be combined with Problem Set 35) |
Wed, Nov 17 Variance of sums of random variables (continued) and Chapter 35: Correlation Problem Set 35 (solutions) |
Fri, Nov 19 Chapter 36: Conditional expectation Problem Set 36 (solutions) |

Week 14: | Mon, Nov 22 Opportunity to ask questions about Conditional Expectation with Mohan at the regular class time |
Wed, Nov 24 (no lecture) Thanksgiving Vacation |
Fri, Nov 26 (no lecture) Thanksgiving Vacation |

Week 15: | Mon, Nov 29 Chapter 37: Moment generating functions Problem Set 37 (solutions) |
Wed, Dec 1 Chapter 38: Markov and Chebyshev inequalities Problem Set 38 (solutions) |
Fri, Dec 3 Chapter 39: Order statistics Chapter 39 addendum to the lecture Problem Set 39 (solutions) |

Week 16: | Mon, Dec 6 Order statistics (continued) |
Wed, Dec 8 Flexible day in schedule (could be review day) |
Fri, Dec 10 Review for Final Exam |

Final exam (take home) due on Saturday, December 18, by 10 AM, in Dr. Ward's office (MATH room 540). |