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	331122	Probability	1	3.0	3	▲	HO-TING WU	4CSIE2	37	4	本班EMI英文授課、資工二和電資二合開，中英文二擇一

Course Plan：

Instructor	HO-TING WU　Office Hours
Email	htwu@ntut.edu.tw
Last Updated	2024-05-18 13:36:32
Course Objective	The course of probability considers events that may or may not occur. It provides mathematical and logical models to describe random phenomena occurred in natural science, engineering, and social behaviors. This course is an important branch of applied mathematics. The basic theory and numerous applications will be covered.
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	Since the final exam. has been rescheduled ahead to the 16th week period, the 2nd midterm is cancelled. The grading policy is revised accordingly as follows. 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 Please refer to (https://istudy.ntut.edu.tw/learn/index.php) for course website, announcement and updated information。 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	Welcome to check with me during the office hours or send email in advance to arrange a personal meeting schedule. Prof. Ho-Ting Wu Office location: Room# 1528, Technology Building. (O)(02)27712171 x 4221 email: htwu@ntut.edu.tw
The course corresponds to the SDGs
Note	The distance learning approach will be adopted during the last 2 week period from 6/10 to 6/22, using The Microsoft (MS) Teams Platform. Please check the Guideline of distance learning on the course website. The course name of this course on the Teams platform is [NTUT-Sync] 112-2_331122_機率. Please send email to Prof. Wu for issues regarding the distance learning.