Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	363328	Random Processes	1	3.0	3	★	JENNSEN LEU	GEE	19	0	預選32人

Course Plan：

Instructor	JENNSEN LEU　Office Hours
Email	jsleu@ntut.edu.tw
Last Updated	2026-09-02 08:31:10
Course Objective	1. 機率空間2. 隨機變數、向量、程序3. 期望值4.隨機序列的收斂性和大數法則5.有用的隨機程序 6.穩定性隨機程序及條件式期望值.
Course Schedule (Week 1-16)	第 1-3 週 Probabilities and measures 第 4-6 週 Random variables, random vectors and random processes 第 7-10 週 Expectation and Inequality(含mid-term exam-5 problems) 第 10-12 週 Convergence of Random Sequence, Law of Large Number and Characteristic Functions. 第 13-15 週 Specification of random processes and Stationarity of random processes 第 16 週 Final exam - 5 problems
Flexible Learning (Week 17-18)	Category ● 線上數位教材學習(Coursera、edX、磨課師等)(Online digital learning (Coursera, edX, MOOCs, etc.)) Content 給教材自行研讀Conditional probability/expectation Hours 6 Learning Outcomes 不須繳交報告 Assessment Percentage 不計入學期成績
Evaluation and grading policy	成績評量，主要來自1次期中考、1次期末考和出席，考數題目共10題，每題10分，期中考5題，期末考5題，出席分數滿分10分，由考試10題和出席分數挑最佳十個分數總合做為原始成績，再以此原始成績調整。 助教: 綜科館212 數位影像視訊研究室
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 參考書目: 1.“Random Processes – a mathematical approach for engineers”, Robert M. Gray and Lee D. Davisson, Prentice-Hall 1986. 2.“Probability and Measure”, 3rd Edition, Patrick Billingsley, New York-Wiley, 1995. 3.“Probability, Random Variables, and Stochastic Processes”, 3rd Edition, Athanasios Papoulis, McGraw-Hill, 1991. 4. “Introduction to Random processes”, Eugene Wong.
The access to curricular consultation	有問題可以下課提問或使用email事先預約時間，至研究室問問題。
Expanding teaching and resources	● 無 (None)
The course corresponds to the SDGs	SDG1：消除貧窮（No Poverty） SDG4：優質教育（Quality Education） SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
Does the course incorporate AI	● 無（None）
Note	助教 梅舜傑 綜科館212數位影像視訊研究室 t114318057@ntut.org.tw