查詢教學大綱與進度

教學大綱與進度

課程基本資料：

學年期課號課程名稱階段學分時數修教師班級人撤備註

113-2 344101 機率與統計 1 3.0 3 ▲ 蕭榮修訓四子三 54 0 　

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
113-2	344101	機率與統計	1	3.0	3	▲	蕭榮修	訓四子三	54	0

教學大綱與進度：

教師姓名蕭榮修

Email rshsiao@ntut.edu.tw

最後更新時間 2025-03-01 16:21:11

課程大綱 This course introduces students to probability, random variables and fundamental statistics. Topics include fundamental probability theory, random variables, distribution functions, Bernoulli, binomial, negative binomial, geometric, hypergeometric, and Poisson distributions. The other continuous topics covered are uniform, exponential, normal, gamma and beta distributions; joint distributions; properties of expectation, central limit theorem, Chebyshev inequality, and law of large numbers; fundamental statistics.

課程進度 1. Introduction to Probability and Statistics 2. Introduction to Probability Theory - I 3. Introduction to Probability Theory - II 4. Introduction to Probability Theory - III 5. Random Variables, Expected Value, and Variance 6. Discrete Random Variables - I 7. Discrete Random Variables - II 8. Discrete Random Variables - III 9. Mid-term Exam 10. Continuous Random Variables -I 11. Continuous Random Variables -II 12. Continuous Random Variables -III 13. Jointly Distributed Random Variables 14. Properties of Expectation 15. Limit Theorems - I 16. Limit Theorems - II 17. 自主學習與總複習 18. Final Exam

評量方式與標準 Attendance 10% Assignments & Quizzes 30% Mid-term Exam 30% Final Exam 30%

使用教材、參考書目或其他 【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】

使用外文原文書：是
1. A First Course in Probability, Sheldon Ross, 8th ed., Pearson Prentice Hall, 2009. ISBN: 9780136033134. 2. Probability & Statistics for Engineers & Scientists, Walpole, Myers, Myers, Ye, 9th ed., Pearson Prentice Hall, ISBN：9781292161365. 3. Probability and Statistics for Engineering & Sciences, Jay L. Devore, 9th ed., Thomson, Brooks/Cole, ISBN：0-534-39933-9 4. An Introduction to Mathematical Statistics and Its Applications , Richard J. Larsen & Morris L. Marx, 5th ed., Prentice Hall, 2012. 5. Introduction to Probability, D. P. Bertsekas, J. N. Tsitsiklis, Athena Scientific, 2002. ISBN：1-886529-37-X

課程諮詢管道 rshsiao@ntut.edu.tw

課程對應SDGs指標 SDG4：優質教育（Quality Education）
SDG5：性別平等（Gender Equality）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
SDG12：負責任的消費與生產（Responsible Consumption and Production）
SDG17：夥伴關係（Partnerships for the Goals）

課程是否導入AI

備註

教師姓名	蕭榮修
Email	rshsiao@ntut.edu.tw
最後更新時間	2025-03-01 16:21:11
課程大綱	This course introduces students to probability, random variables and fundamental statistics. Topics include fundamental probability theory, random variables, distribution functions, Bernoulli, binomial, negative binomial, geometric, hypergeometric, and Poisson distributions. The other continuous topics covered are uniform, exponential, normal, gamma and beta distributions; joint distributions; properties of expectation, central limit theorem, Chebyshev inequality, and law of large numbers; fundamental statistics.
課程進度	1. Introduction to Probability and Statistics 2. Introduction to Probability Theory - I 3. Introduction to Probability Theory - II 4. Introduction to Probability Theory - III 5. Random Variables, Expected Value, and Variance 6. Discrete Random Variables - I 7. Discrete Random Variables - II 8. Discrete Random Variables - III 9. Mid-term Exam 10. Continuous Random Variables -I 11. Continuous Random Variables -II 12. Continuous Random Variables -III 13. Jointly Distributed Random Variables 14. Properties of Expectation 15. Limit Theorems - I 16. Limit Theorems - II 17. 自主學習與總複習 18. Final Exam
評量方式與標準	Attendance 10% Assignments & Quizzes 30% Mid-term Exam 30% Final Exam 30%
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】使用外文原文書：是 1. A First Course in Probability, Sheldon Ross, 8th ed., Pearson Prentice Hall, 2009. ISBN: 9780136033134. 2. Probability & Statistics for Engineers & Scientists, Walpole, Myers, Myers, Ye, 9th ed., Pearson Prentice Hall, ISBN：9781292161365. 3. Probability and Statistics for Engineering & Sciences, Jay L. Devore, 9th ed., Thomson, Brooks/Cole, ISBN：0-534-39933-9 4. An Introduction to Mathematical Statistics and Its Applications , Richard J. Larsen & Morris L. Marx, 5th ed., Prentice Hall, 2012. 5. Introduction to Probability, D. P. Bertsekas, J. N. Tsitsiklis, Athena Scientific, 2002. ISBN：1-886529-37-X
課程諮詢管道	rshsiao@ntut.edu.tw
課程對應SDGs指標	SDG4：優質教育（Quality Education） SDG5：性別平等（Gender Equality） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure） SDG12：負責任的消費與生產（Responsible Consumption and Production） SDG17：夥伴關係（Partnerships for the Goals）
課程是否導入AI
備註