Introduction to Probability
Fall 2006
Tuesdays, 2:10 ~4:00 PM
Fridays, 1:10 ~3:00 PM
Instructor: Dr. Berlin Chen (陳柏琳)Topic List and Schedule:
09/26(Tue) | Course Overview & Introduction | ||
09/29(Fri) | Chapter 1: Sets and Probabilistic Models | ||
10/03(Tue) | Chapter 1: Conditional Probability, Total Probability Theorem and Bayes' Rule | ||
10/06(Fri) | Mid-Autumn Festival | ||
10/10(Tue) | The National Day | ||
10/13(Fri) | Chapter 1: Conditional Probability, Total Probability Theorem and Bayes' Rule | HW-1:
Problems (Chapter 1) 2, 8, 13, 16, 18 Due 10/20 |
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10/17(Tue) | Chapter 1: Independence & Counting | ||
10/20(Fri) | Quiz
1 |
Scope: Sections 1.1 to 1.3 | |
10/24(Tue) | Chapter 2: Discrete Random Variables: Basics | ||
10/27(Fri) | Chapter 2: Discrete Random Variables: Basics | ||
10/31(Tue) | Chapter 2: Discrete Random Variables: Expectation, Mean, Variance | HW-2:
Problems (Chapter 1) 25, 35 Problems (Chapter 2) 4, 8, 9,11,13 Due 11/10 |
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11/03(Fri) | Chapter 2: Discrete Random Variables: Expectation, Mean, Variance | ||
11/07(Tue) | Quiz 2 | Scope: Sections 1.4 to 2.4 | |
11/10(Fri) | Chapter 2: Discrete Random Variables: Joint PMFs, Conditioning and Independence | ||
11/14(Tue) | Chapter 2: Discrete Random Variables: Joint PMFs, Conditioning and Independence | ||
11/17(Fri) | Discussions on HW-1 & 2 | ||
11/21(Tue) | Chapter 3: Continuous Random Variables: Basics | HW-3:
Problems (Chapter 2) 15, 18, 21 Problems (Chapter 3) 2, 5 Due 12/01 |
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11/24(Fri) | Chapter 3: Continuous Random Variables: Basics | ||
11/28(Tue) | Chapter 3: Continuous Random Variables: Conditioning, Expectation and Independence | ||
12/01(Fri) | Quiz 3 | Scope: Sections 2.5 to 3.3 | |
12/05(Tue) | Chapter 3: Continuous Random Variables: Conditioning, Expectation and Independence | ||
12/08(Fri) | Discussions on HW-3 & Quizzes 2, 3 | ||
12/12(Tue) | Midterm | Scope: Chapters 1 & 2 | |
12/15(Fri) | Break (ISCSLP2006) | ||
12/19(Tue) | Chapter 3: Continuous Random Variables: Derived Functions | ||
12/22(Fri) | Experiments, Outcomes, Events and Random Variables: A Revisit | ||
12/26(Tue) | Chapter 4: Further Topics on Random Variables: Transforms (Moment Generating Functions) | ||
12/29(Fri) | Quiz 4 | Scope: Sections 3.1 ~ 3.5 | |
01/02(Tue) | Chapter 4: Further Topics on Random Variables: Convolutions, Conditional Expectation and Variance | ||
01/05(Fri) | Quiz 5 | Scope: Sections 3.6 ~ 4.1 | |
01/09(Tue) | Chapter 4: Further Topics on Random Variables: Convolutions, Conditional Expectation and Variance | ||
01/12(Fri) | Discussions on Quizzes 4, 5 | ||
01/16(Tue) | Chapter 4: Further Topics on Random Variables: Sum of a Random Number of Random Variables | ||
01/19(Fri) | Quiz 6 (Take-Home Exercise) | ||
01/23(Tue) | Final ( Good Luck ! ) | Scope: Chapters 3 & Sections 4.1~4.4 |
Textbook:
1. D. P. Bertsekas, J. N. Tsitsiklis, “Introduction to Probability,” Athena Scientific, 2002 (全華代理)TA:
游斯涵同學 (碩一)
– E-mail: [email protected]
– Tel: 29322411ext 208 (資工系208室)