Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Spring Semester
Year 2026 355279 Probability 1 3.0 3 ▲ HO-TING WU 4EECS2 15 0 電機必修。電子、資工、光電選修。

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2026	355279	Probability	1	3.0	3	▲	HO-TING WU	4EECS2	15	0	電機必修。電子、資工、光電選修。

Course Plan：

Instructor HO-TING WU　Office Hours

Email htwu@ntut.edu.tw

Last Updated 2025-12-09 21:20:40

Course Objective 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。

Course Schedule 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

Evaluation and grading policy 1. Homeworks + Class participation 20% 2. Two Mid Terms 25%*2=50% 3. Final Exam. 30%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
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.

The access to curricular consultation 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

Expanding teaching and resources

The course corresponds to the SDGs SDG4：優質教育（Quality Education）

Does the course incorporate AI ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）

Note
　

Instructor	HO-TING WU　Office Hours
Email	htwu@ntut.edu.tw
Last Updated	2025-12-09 21:20:40
Course Objective	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。
Course Schedule	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
Evaluation and grading policy	1. Homeworks + Class participation 20% 2. Two Mid Terms 25%*2=50% 3. Final Exam. 30%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 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.
The access to curricular consultation	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
Expanding teaching and resources
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
Does the course incorporate AI	● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
Note