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

114-2 355279 機率 1 3.0 3 ▲ 吳和庭電資二 0 0 電機必修。電子、資工、光電選修。

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
114-2	355279	機率	1	3.0	3	▲	吳和庭	電資二	0	0	電機必修。電子、資工、光電選修。

教學大綱與進度：

教師姓名吳和庭　教師諮商時間(Office Hours)

Email htwu@ntut.edu.tw

最後更新時間 2025-12-09 21:20:40

課程大綱本課程介紹機率學的原理與應用。機率學為數學的一門學科，探討不確定事件或行為的數學表示及計算方式，廣泛應用於自然科學、工程及社會科學中。本課程之授課範圍，包含：1.組合分析、2.機率公設、3.條件機率與獨立事件、4.離散隨機變數、5.連續隨機變數、6.二維與多維隨機變數、7.期望值性質、8.極限定理。

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
請於本課程北科i學園PLUS上，查詢本課程課程網頁、公告事項與即時訊息。 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, 2014.

課程諮詢管道請利用教師諮商時間或以emai事先聯繫討論時間。
授課教師：吳和庭教授
教師研究室: 宏裕科技大樓 1528 室；
(O)(02)27712171 x 4221；
email: htwu@ntut.edu.tw

課程對應SDGs指標 SDG4：優質教育（Quality Education）

課程是否導入AI ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）

備註

教師姓名	吳和庭　教師諮商時間(Office Hours)
Email	htwu@ntut.edu.tw
最後更新時間	2025-12-09 21:20:40
課程大綱	本課程介紹機率學的原理與應用。機率學為數學的一門學科，探討不確定事件或行為的數學表示及計算方式，廣泛應用於自然科學、工程及社會科學中。本課程之授課範圍，包含：1.組合分析、2.機率公設、3.條件機率與獨立事件、4.離散隨機變數、5.連續隨機變數、6.二維與多維隨機變數、7.期望值性質、8.極限定理。
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：是請於本課程北科i學園PLUS上，查詢本課程課程網頁、公告事項與即時訊息。 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, 2014.
課程諮詢管道	請利用教師諮商時間或以emai事先聯繫討論時間。授課教師：吳和庭教授教師研究室: 宏裕科技大樓 1528 室； (O)(02)27712171 x 4221； email: htwu@ntut.edu.tw
課程對應SDGs指標	SDG4：優質教育（Quality Education）
課程是否導入AI	● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
備註