Weeks 
Sections 
Brief Description 
08/26  09/30

Chapter 1; Chapter 2: Section 2.1.

Review of Probability (1.1 to 1.6), and Conditional Probability and
Conditional Expectation (2.1).

09/02  09/06

Holliday (Monday); 2.2: 2.3.

The Dice Game Craps; Random Sums.

09/09  09/13

2.3; 3.1, 3.1

Random Sums; Definitions of Markov Chains.

09/16  09/20

3.3; 3.4; 3.4

Some Markov Chain Models; First Step Analysis.

09/23  09/27

3.4; 3.4: 3.5.

First Step Analysis; Some Special Markov Chains.

09/30  10/02

3.5; Midterm I; 3.6

Some Special Markov Chains; Functionals of Random Walks and Success Runs.

10/07  10/11

3.6; 3.6; 3.7.

Functionals of Random Walks and Success Runs; Another look at First
Step Analysis.

10/14  10/18

3.7, 3.8; 3.9; 3.9.

Another Look at First Step Analysis, Branching Process; Branching Process and Generating Functions.

10/21  10/25

3.9, 4.1; 4.1; 4.1;

Branching Process and Generating Functions; Regular Transition Probability Matrices;
Regular Transition Probability Matrices.

10/28  11/01

4.1, 4.2; 4.2,4.3; 4.3.

Regular Transition Probability Matrices, Examples; Examples, The
classification of States; The Classification of States.

11/04  11/08

4.3; 4.3; Midterm II

The Classification of States; The
Classification of States

11/11  11/15

4.4; 4.4, 5.1; 5.1.

Basic Limiting Theorem of Markov Chains; The Poisson Distribution and The Poisson Process

11/18  11/22

5.1; 5.2; 5.2.

The Poisson Distribution and The Poisson Process; The Law of Rare Events; Distributions Associated with
Poisson Process.

11/25  11/29

5.3; 5.3; Holiday (Friday)

Distributions Associated with the Poisson Process

12/02  12/06

5.3; 5.4; Review

Distributions Associatd with the Poisson Process; The Uniform Distribution and Poisson Processes; Review for the Final Exam.
