Download Math 151. Probability Fall 2013 Tentative Schedule of Lectures and

Syllabus for Math 152
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Math 151. Probability
Fall 2013
Tentative Schedule of Lectures and Examinations
Date
Topic
W
F
Sep. 4
Sep. 6
Introduction: A problem from statistical inference
Sample Spaces
M
W
F
Sep. 9
Sep. 11
Sep. 13
σ-fields
Probability function
Probability function (continued)
M
W
F
Sep. 16
Sep. 18
Sep. 20
Independent events
Conditional probability
Continuous and discrete random variables
M
W
F
Sep. 23
Sep. 25
Sep. 27
Cumulative distribution function (cdf)
Probability density function (pdf)
Probability mass function (pmf)
M
W
F
Sep. 30
Oct. 2
Oct. 4
Review
Review
Exam 1
M
W
F
Oct. 7
Oct. 9
Oct. 11
Continuous random variable and probability density function (pdf)
Expectation of a random variable
Expectation of a function of a random variable
M
W
F
Oct. 14
Oct. 16
Oct. 18
Expectation of a function of a random variable (continued)
Examples of random variables
Moments, variance and moment generation function
M
W
F
Oct. 21
Oct. 23
Oct. 25
Fall Recess (No Class)
Joint distribution functions
Joint distribution functions (continued)
M
W
F
Oct. 28
Oct. 30
Nov. 1
Marginal distributions
Marginal distributions (continued)
Problems
M
W
F
Nov. 4
Nov. 6
Nov. 8
Review
Exam 2
Independent random variables
Date
M
W
F
Topic
Nov. 11
Nov. 13
Nov. 15
mgf convergence theorem
The Central Limit Theorem
Simple random samples
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Syllabus for Math 152
Page 2 of 2
M
W
F
Nov. 18
Nov. 20
Nov. 22
Mean and variance of random samples
Sampling distribution
Conditional distribution
M
W
F
Nov. 25
Nov. 27
Nov. 29
Conditional expectation
Problems
Thanksgiving Recess
M
W
F
Dec. 2
Dec. 4
Dec. 6
Covariance and correlation
Review
Exam 3
M
W
Dec. 9
Dec. 11
Review
Review
Th
Dec 19
Final Examination
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