一、課程說明(Course Desc<x>ription)
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<br>This course is an introduction to the elementary probability theory and its 
<br>applications.
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<br> 二、指定用書(Text Books)
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<br>S. Ghahramani, "Fundamentals of Probability with Stochastic Processes,"
<br>4th ed., Boca Raton, FL: CRC Press, Taylor &R03; Francis Group, 2018. 
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<br> 三、參考書籍(References)
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<br>1. S. Ross, "A First Course in Probability," 6th ed. Upper Saddle River, NJ: 
<br>Prentice Hall, 2002. 
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<br>2. A. Papoulis, "Probability and Statistics." Englewood Cliffs, NJ: 
<br>Prentice-Hall, 1990. 
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<br>3. P. G. Hoel, S. C. Port, and C. J. Stone, "Introduction to Probability 
<br>Theory." Boston, MA: Houghton Mifflin, 1971. 
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<br>4. A. Papoulis and S. U. Pillai, "Probability, Random Variables and 
<br>Stochastic Processes," 4th ed. New York, NY: McGraw-Hill, 2002. 
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<br>5. W. Feller, "An Introduction to Probability Theory and Its Application," 
<br>vol. I & vol. II. New York, NY: Wiley, 1968. 
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<br> 四、教學方式(Teaching Method)
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<br>Lectures & Presentations.
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<br> 五、教學進度(Syllabus)
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<br>1. Axioms of Probability 
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<br>2. Combinatorial Methods 
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<br>3. Conditional Probability and Independence 
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<br>4. Distribution Functions and Discrete Random Variables 
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<br>5. Special Discrete Distributions 
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<br>6. Continuous Random Variables 
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<br>7. Special Continuous Distributions 
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<br>8. Bivariate Distributions 
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<br>9. Multivariate Distributions 
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<br>10. More Expectations and Variances 
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<br>11. Sums of Independent Random Variables and Limit Theorems 
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<br>12. Stochastic Processes 
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<br> 六、成績考核(Evaluation)
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<br>Your grade (100%) = Homework (10%) + Exams (50%) + Presentations (40%)
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<br> 七、可連結之網頁位址
<br>Jay Cheng's website: http://www.ee.nthu.edu.tw/jcheng/
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