Time and place: TTh 10:4012:00, Room 211, Tureaud Hall.
Instructor: James Madden, 213 Prescott Hall, madden@math.lsu.edu, (225)9783525 (cell). Office hours: TTh 9:0010:30 or by appt.
Textbook: S. Ghahramani, Fundamentals of Probability.
Here is a guide that describes what to read up to the midterm.
Here is a guide that describes what you will be responsible for on the final.
Goal: Students will acquire a working knowledge of basic probability theory, including continuous random variables and the Central Limit Theorems.
Grading: Homework: at most 25%. Weekly quizzes 25%. Midterm and final at least 50%. The final is scheduled for Thursday, May 12, 7:309:30 AM.
week  mm/dd  D  Topic  Assignment  Notes/resources 
A1 
01/18  T 

Do the problems in the notes.  Lecture 1  Mathematica Notebook 1 
01/20  Th 

Do the problems in the notes. Do the exercises in Notebook 2.  Lecture 2  Mathematica Notebook 2  Quiz 1  
A2 
01/25  T  Combinatorial methods    Lecture 3 
01/27  Th  Examples (the hypergeometric distribution)  Textbook, pages 512: 3, 4, 12, 20, 21 and page 65: 20. (65:20 asks for the probabilities of all the poker hands. This is long.) Do the project in the lecture notes. 
Quiz 2  Lecture 4  Mathematica Notebook 4  Mathematica Notebook 4a (Contains solution to the project in the lecture notes.)  
A3 
02/01  T  Conditional Probability, Independence, Twoway tables.  3.1: 5, 9, 11, 13, 17 3.2: 1, 3, 5, 9 Ch.3rev: 8, 9, 11, 13 
Lecture 5 Problems from the textbook: 3.1  3.2  3.3  3.4  3.5  Ch.3rev 
02/03  Th  Bayes's Rule  3.3: 1, 4, 5, 7 HAND IN February 8: 3.1:17 and the Homework problem in Lecture 6 
Quiz 3  Lecture 6  Mathematica Notebook 6  
A4 
02/08  T  Random Variables  Do the problems in the lecture notes.  Lecture 7, 2nd edition
(This was updated Feb. 9. If it looks thae same as the one you saw before, refresh the web page.) Mathematica Notebook 7 
02/10  Th  More on Random Variables    Quiz 4  Lecture 8  Mathematica Notebook 8  
A5 
02/15  T  Review Examples  HAND IN on Tuesday, February 22: the "extension problems" in the Lecture 9 notes.  Lecture 9 
02/17  Th  More examples  HAND IN on Tuesday, February 22: problem 3.5:33 and extension a and b of problem 3.5:35in Lecture 10 notes.  Quiz 5  Lecture 10  
A6 
02/22  T  More on Expectation; Special Discrete Distributions    Lecture 11 
02/24  Th  The Poisson Distribution    Lecture 12  Mathematica Notebook  Quiz 6  
A7 
03/01  T  Review  Link to practice test and answers. Note: the midterm will cover more than this practice test. All homework is fair game.  Solutions to Lect. 10 probs.  Mathematica Notebook on Lect. 9 probs. 
03/03  Th  Midterm Exam on all material up to an including Lecture 11  Here is a guide that describes what to read up to the midterm.    
 
03/08  T  Holiday     
03/10  Th  Midterm postmortem    Midterm Solutions  
B1 
03/15  T  Continuous Probability I.  Read Chapter 6  Lecture 13 
03/17  Th  Continuous Probability II: Uniform distributon, Cauchy distribution, Expectation from CDF.  Reread Chapter 6  Lecture 14  Quiz 7  
B2 
03/22  T  Transformations  Page 245: 1, 3, 5, 7  Lecture 15 (The midsemester grades are available) 
03/24  Th  Transformations; expected value, variance, moments  Page 254: 5, 9, 11, 17  Lecture 16  Quiz 8  
B3 
03/29  T  The Normal Distribution  Page 281: 5, 9, 11, 12, 15, 33  Lecture 17 
03/31  Th  The Exponential Distribution; adding random variables  Do the last problem in the "quiz", and hand it in Monday. Do the last exercise in the lecture notes.  Lecture 18  "Quiz 9"  
B4 
04/05  T  Discrete Generating Functions (Chapter 11)  Do the problems in the lecture  Lecture 19 
04/07  Th  Bivariate distributions.  Read Secion 8.1. Do: Section 8.1: 2, 3, 9, 10, 11, 12 
Lecture 20  Quiz 10  
B5 
04/12  T  Sections 8.2, 8.3. Independence and conditional distributions    Lecture 21  BuffonDemo (Mathematica) 
04/14  Th  Sections 8.4. Change of variables  Do the review problems for Chapter 8  Lecture 22  Quiz 11  
 
04/19  T  Holiday     
04/21  Th  Holiday      
B6 
04/26  T  Expectation    Lecture 23 
04/28  Th  review    Notes for review  
B7 
05/03  T  Covariance    Lecture 24 
05/05  Th  TBA     