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