Math 151.  Probability                                                                                                          Spring 2020

 

Tentative Schedule of Lectures and Examinations

 

Date                            Topic

 

W        Jan. 22             Introduction:  A problem from statistical inference

F          Jan. 24             Sample Spaces

 

M         Jan. 27             σ-fields

W        Jan. 29             σ-fields (continued)

F          Jan. 31             Probability spaces

 

M         Feb.  3             Probability spaces (continued)

W        Feb.  5             Independent events and conditional probability

F          Feb.  7             Continuous and discrete random variables

 

M         Feb. 10            Cumulative distribution function (cdf)

W        Feb. 12            Probability density function (pdf)

F          Feb. 14            Probability mass function (pmf)

 

M         Feb. 17            Continuous random variable and probability density function (pdf)

W        Feb. 19            Review

F          Feb. 21            Exam 1

 

M         Feb. 24            Expectation of a random variable

W        Feb. 26            Expectation of a function of a random variable

F          Feb. 28            Expectation of a function of a random variable (continued)

 

M         Mar.   2           Moments, variance and moment generation function

W        Mar    4           Joint distribution functions

F          Mar.   6           Joint distribution functions (continued)        

 

M         Mar.   9           Marginal distributions

W        Mar. 11           Independent random variables

F          Mar. 13           Independent random variables (continued)

 

M         Mar. 16           Spring Recess

W        Mar. 18           Spring Recess

F          Mar. 20           Spring Recess

 

M         Mar. 23           Review

W        Mar. 25           Exam 2

F          Mar. 27           Cesar Chavez Recess

 

 

Date                            Topic

 

M         Mar. 30           The Poisson distribution

W        Apr.   1            The Poisson distribution (continued)

F          Apr.   3            Limiting distributions

 

M         Apr.   6            Limiting distributions (continued)

W        Apr.   8            mgf convergence theorem

F          Apr. 10            Convergence in distribution

 

M         Apr. 13            Convergence in Probability

W        Apr. 15            The Central Limit Theorem

F          Apr. 17            Applications of the Central Limit Theorem

 

M         Apr. 20            Applications of the Central Limit Theorem (continued)

W        Apr. 22            Random samples

F          Apr. 24            Sampling distributions

 

 

M         Apr. 27            Estimation

W        Apr. 29            Review

F          May   1            Exam 3

 

M         May   4            Review

W        May   6            Review

 

 

 

F          May 15            Final Examination