| Weeks |
Sections |
Brief Description |
|
08/26 - 09/30
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Chapter 1; Chapter 2: Section 2.1.
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Review of Probability (1.1 to 1.6), and Conditional Probability and
Conditional Expectation (2.1).
|
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09/02 - 09/06
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Holliday (Monday); 2.2: 2.3.
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The Dice Game Craps; Random Sums.
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|
09/09 - 09/13
|
2.3; 3.1, 3.1
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Random Sums; Definitions of Markov Chains.
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09/16 - 09/20
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3.3; 3.4; 3.4
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Some Markov Chain Models; First Step Analysis.
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09/23 - 09/27
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3.4; 3.4: 3.5.
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First Step Analysis; Some Special Markov Chains.
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09/30 - 10/02
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3.5; Midterm I; 3.6
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Some Special Markov Chains; Functionals of Random Walks and Success Runs.
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|
10/07 - 10/11
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3.6; 3.6; 3.7.
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Functionals of Random Walks and Success Runs; Another look at First
Step Analysis.
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|
10/14 - 10/18
|
3.7, 3.8; 3.9; 3.9.
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Another Look at First Step Analysis, Branching Process; Branching Process and Generating Functions.
|
|
10/21 - 10/25
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3.9, 4.1; 4.1; 4.1;
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Branching Process and Generating Functions; Regular Transition Probability Matrices;
Regular Transition Probability Matrices.
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|
10/28 - 11/01
|
4.1, 4.2; 4.2,4.3; 4.3.
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Regular Transition Probability Matrices, Examples; Examples, The
classification of States; The Classification of States.
|
|
11/04 - 11/08
|
4.3; 4.3; Midterm II
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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.
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The Poisson Distribution and The Poisson Process; The Law of Rare Events; Distributions Associated with
Poisson Process.
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|
11/25 - 11/29
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5.3; 5.3; Holiday (Friday)
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Distributions Associated with the Poisson Process
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|
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.
|