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 341282 機率 1 3.0 3 ★ 陳香君電資二 41 2 電機、電子、資工、光電選修。電資二和資工二合開

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	341282	機率	1	3.0	3	★	陳香君	電資二	41	2	電機、電子、資工、光電選修。電資二和資工二合開

教學大綱與進度：

教師姓名陳香君　教師諮商時間(Office Hours)

Email annette@ntut.edu.tw

最後更新時間 2024-12-17 16:50:40

課程大綱 1.組合分析2.機率公設3.條件機率與獨立4.離散隨機變數5.連續隨機變數6.結合分佈隨機變數7.期望值性質8.極限定理9.模擬 1.Combinatorial Analysis 2.Axioms of Probability3. Conditional Probability and Independence4.Discrete Random Variables5.Continuous Random Variables6.Jointly Distributed Random Variables7.Properties of Expectation 8.Limit Theorems 9.Simulation

課程進度 Week 1. Introduction to Probability; Counting Principle Week 2. Permutations and Combinations Week 3. Sample Spaces, Event and Axioms of Probability Week 4. Some Propositions; Equally Likely Fundamental Events Week 5. Conditional Probability; Bayes Formula Week 6. Independent Events; Sequential Events Week 7. Midterm 1; Random Variables Week 8. Discrete random Variable, CDF, PMF Week 9. Expectation, Variance, and Well Known Discrete Random Variables. Week 10. Continuous Random Variable and PDF Week 11. Well Known Continuous random Variables Week 12. Function of a Random Variable; Midterm 2 Week 13. Two and Multi Dimensional Random Variables Week 14. (Expectations of) Sums of Random Variables Week 15. Correlation and Covariance; Conditional Expectation Week 16. Inequality, the Law of Large Numbers and Limit Theorems Week 17. Selected Topics (Poisson Process, Markov Chain etc) Week 18. Final Exam

評量方式與標準 1. Homeworks + Class participation 20% 2. Two Mid Terms 25%*2=50% 3. 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
Textbook: Ghahramani, “Fundamentals of Probability with Stochastic Processes,” 3rd ed., Pearson, 2005 (or PNIE edition, 2014) , or 4th ed., CRC Press, 2019. Reference Books: 1. S. Ross, “A First Course in Probability”, 7th ed., Pearson Prentice Hall, 2006. 2. Leon-Garcia, “Probability and Random Processes for Electrical Engineering,” 3rd ed., Pearson, 2009. 3. Yates and Goodman, “Probability and Stochastic Processes,” 3rd ed., John Wiley & Sons, 2015. 4. Papoulis and Pillai, “Probability, Random Variables, and Stochastic Processes,” 4th ed., Mc-Graw-Hill, 2002. 5. Walpole, Myers, Myers and Ye, “Probability and Statistics for Engineers and Scientists,” 9th ed., Pearson, 2016.

課程諮詢管道 Office hours: Mon 10:10-12 14:00-18:00
https://irs.zuvio.com.tw/teacher/course/
email: annette@ntut.edu.tw

課程對應SDGs指標 SDG4：優質教育（Quality Education）
SDG5：性別平等（Gender Equality）

課程是否導入AI

備註

教師姓名	陳香君　教師諮商時間(Office Hours)
Email	annette@ntut.edu.tw
最後更新時間	2024-12-17 16:50:40
課程大綱	1.組合分析2.機率公設3.條件機率與獨立4.離散隨機變數5.連續隨機變數6.結合分佈隨機變數7.期望值性質8.極限定理9.模擬 1.Combinatorial Analysis 2.Axioms of Probability3. Conditional Probability and Independence4.Discrete Random Variables5.Continuous Random Variables6.Jointly Distributed Random Variables7.Properties of Expectation 8.Limit Theorems 9.Simulation
課程進度	Week 1. Introduction to Probability; Counting Principle Week 2. Permutations and Combinations Week 3. Sample Spaces, Event and Axioms of Probability Week 4. Some Propositions; Equally Likely Fundamental Events Week 5. Conditional Probability; Bayes Formula Week 6. Independent Events; Sequential Events Week 7. Midterm 1; Random Variables Week 8. Discrete random Variable, CDF, PMF Week 9. Expectation, Variance, and Well Known Discrete Random Variables. Week 10. Continuous Random Variable and PDF Week 11. Well Known Continuous random Variables Week 12. Function of a Random Variable; Midterm 2 Week 13. Two and Multi Dimensional Random Variables Week 14. (Expectations of) Sums of Random Variables Week 15. Correlation and Covariance; Conditional Expectation Week 16. Inequality, the Law of Large Numbers and Limit Theorems Week 17. Selected Topics (Poisson Process, Markov Chain etc) Week 18. Final Exam
評量方式與標準	1. Homeworks + Class participation 20% 2. Two Mid Terms 25%*2=50% 3. 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 Textbook: Ghahramani, “Fundamentals of Probability with Stochastic Processes,” 3rd ed., Pearson, 2005 (or PNIE edition, 2014) , or 4th ed., CRC Press, 2019. Reference Books: 1. S. Ross, “A First Course in Probability”, 7th ed., Pearson Prentice Hall, 2006. 2. Leon-Garcia, “Probability and Random Processes for Electrical Engineering,” 3rd ed., Pearson, 2009. 3. Yates and Goodman, “Probability and Stochastic Processes,” 3rd ed., John Wiley & Sons, 2015. 4. Papoulis and Pillai, “Probability, Random Variables, and Stochastic Processes,” 4th ed., Mc-Graw-Hill, 2002. 5. Walpole, Myers, Myers and Ye, “Probability and Statistics for Engineers and Scientists,” 9th ed., Pearson, 2016.
課程諮詢管道	Office hours: Mon 10:10-12 14:00-18:00 https://irs.zuvio.com.tw/teacher/course/ email: annette@ntut.edu.tw
課程對應SDGs指標	SDG4：優質教育（Quality Education） SDG5：性別平等（Gender Equality）
課程是否導入AI
備註