Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2024	327417	Probability	1	3.0	3	▲	HO-TING WU	4CSIE2	45	2	中文授課，與EMI二擇一，限資工系學生

Course Plan：

Instructor	HO-TING WU　Office Hours
Email	htwu@ntut.edu.tw
Last Updated	2024-05-19 11:52:02
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	依照學校規定，本學期的期末考將提前至第16週舉行。因此，已取消原定的第二次期中考試，而本課程的評量方式也做相對應調整如下： 1. Homeworks + Class participation 30% 2. Mid Term Exam. 30% 3. Final Exam. 40%
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email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
The course corresponds to the SDGs
Note	本課程在本學期的第17及18週 6/10 ~6/22間，將採用 Microsoft Teams實施遠距教學，本課程在Microsoft Teams平台之課程名稱如下：[NTUT-Sync]112-2_327417_機率。請參考本課程網頁中的遠距教學相關設定與注意事項，若有相關議題，也可利用email與授課教師聯繫。