Math 151.  Probability                                                                                                          Fall 2017

 

Tentative Schedule of Lectures and Examinations

 

Date                            Topic

 

W        Aug. 30           Introduction:  A problem from statistical inference

F          Sep.   1            Sample Spaces

 

M         Sep.   4            σ-fields

W        Sep.   6            Probability function

F          Sep.   8            Probability function (continued)

 

M         Sep. 11            Independent events

W        Sep. 13            Conditional probability

F          Sep. 15            Continuous and discrete random variables

 

M         Sep. 18            Cumulative distribution function (cdf)

W        Sep. 20            Probability density function (pdf)

F          Sep. 22            Probability mass function (pmf)

 

M         Sep. 25            Continuous random variable and probability density function (pdf)

W        Sep. 27            Review

F          Sep. 29            Exam 1

 

M         Oct.   2             Expectation of a random variable

W        Oct.   4             Expectation of a function of a random variable

F          Oct.   6             Expectation of a function of a random variable (continued)

 

M         Oct.   9             Moments, variance and moment generation function

W        Oct. 11             Joint distribution functions

F          Oct. 13             Joint distribution functions (continued)        

 

M         Oct. 16             Fall Recess

W        Oct. 18             Marginal distributions

F          Oct. 20             Independent random variables

 

M         Oct. 23             Independent random variables (continued)

W        Oct. 25             The Poisson Distribution

F          Oct. 27             Limiting distributions

 

M         Oct. 30             Limiting distributions (continued)

W        Nov.  1             Review

F          Nov.  3             Exam 2

 

 

Date                            Topic

 

M         Nov.   6           mgf convergence theorem

W        Nov.   8           Convergence in distribution

F          Nov. 10           Convergence in Probability

 

M         Nov. 13           The Central Limit Theorem

W        Nov. 15           Applications of the Central Limit Theorem

F          Nov. 17           Applications of the Central Limit Theorem (continued)

 

M         Nov. 20           Random samples

W        Nov. 22           Sampling distributions

F          Nov. 24           Thanksgiving Recess!

 

M         Nov. 27           Estimation

W        Nov. 29           Review

F          Dec.   1            Exam 3

 

 

M         Dec.  4             Review

W        Dec.  6             Review

           

 

 

F          Dec.  15           Final Examination