Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2023	312855	Probability	1	3.0	3	★	HO-TING WU	4EECS2	33	0	資工二和電資二合開

Course Plan：

Instructor	HO-TING WU　Office Hours
Email	htwu@ntut.edu.tw
Last Updated	2023-01-31 10:59:59
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	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 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	Please check the course website ((https://istudy.ntut.edu.tw/learn/index.php) frequently for updated information and course arrangement in case of covid-19 outbreak. The Microsoft Teams (MS Teams) platform will be used for distance learning in case needed.