Math 151.  Probability                                                                                  Fall 2013

 

Tentative Schedule of Lectures and Examinations

 

Date                            Topic

 

W        Sep.   4            Introduction:  A problem from statistical inference

F          Sep.   6            Sample Spaces

 

M         Sep.   9            σ-fields

W        Sep. 11            Probability function

F          Sep. 13            Probability function (continued)

 

M         Sep. 16            Independent events

W        Sep. 18            Conditional probability

F          Sep. 20            Continuous and discrete random variables

 

M         Sep. 23            Cumulative distribution function (cdf)

W        Sep. 25            Probability density function (pdf)

F          Sep. 27            Probability mass function (pmf)

 

M         Sep. 30            Review

W        Oct.   2            Review

F          Oct.   4            Exam 1

 

M         Oct.   7            Continuous random variable and probability density function (pdf)

W        Oct.   9            Expectation of a random variable

F          Oct.  11           Expectation of a function of a random variable

 

M         Oct.  14           Expectation of a function of a random variable (continued)

W        Oct.  16           Examples of random variables

F          Oct.  18           Moments, variance and moment generation function

 

M         Oct.   21          Fall Recess (No Class)

W        Oct.  23           Joint distribution functions

F          Oct.  25           Joint distribution functions (continued)

 

M         Oct.  28           Marginal distributions

W        Oct.  30           Marginal distributions (continued)

F          Nov.   1           Problems

 

M         Nov.   4           Review

W        Nov.   6           Exam 2

F          Nov.   8           Independent random variables

 

 

Date                            Topic

 

M         Nov. 11           mgf convergence theorem

W        Nov. 13           The Central Limit Theorem

F          Nov. 15           Simple random samples

 

M         Nov. 18           Mean and variance of random samples

W        Nov. 20           Sampling distribution 

F          Nov. 22           Conditional distribution

 

M         Nov. 25           Conditional expectation

W        Nov. 27           Problems

F          Nov. 29           Thanksgiving Recess

 

M         Dec.   2            Covariance and correlation

W        Dec.   4            Review

F          Dec.   6            Exam 3          

 

M         Dec.   9            Review

W        Dec. 11            Review

 

 

Th        Dec  19            Final Examination