NCHU Course Outline

Course Name	(中) 工程數學(三)(2327)
	(Eng.) Engineering Mathematics (III)
Offering Dept	Department of Electrical Engineering
Course Type	Required			Credits	3	Teacher	CHEN, HOU-SHOU
Department	Department of Electrical Engineering / Undergraduate			Language	Chinese	英文/EMI		Semester	2025-FALL
Course Description	In this course, the students earn the basic concept of probability and its application to the advanced courses. The contents of this course is consisting of　　　 (1) The axioms of probability (2) Discrete random variable: PMF (3) Continuous random variable: CDF and PDF (4) Vector random variables: joint PMF, CDF, and PDF (5) Sum of random variables
Prerequisites								self-directed learning in the course	Y

Relevance of Course Objectives and Core Learning Outcomes(%)			Teaching and Assessment Methods for Course Objectives
Course Objectives	Competency Indicators	Ratio(%)	Teaching Methods	Assessment Methods
本課程目標在於使學生了解機率的相關理論及其應用, 並提供學習者未來修 習其他電機課程之理論基礎. 課程內容包含 (1) Introduction to probability (1 week, chapter 1) (2) Probability axiom: sample space and events (2 weeks, chapter 2) (3) Discrete random variable (3 weeks, chapter 3) (4) Continuous random variable (3 weeks, chapter 4) (5) Pairs of random variables (3 weeks, chapter 5) (6) Vector random variables (2 weeks,chapter6)	1.ability to apply knowledge of mathematics, science, and electrical engineering 2.ability to analyze, design, and integrate electrical engineering systems 3.ability to plan and use technical skills in research projects and various electrical engineering practices 4.ability to collect data, think independently, solve problems, and innovate	25 20 25 20	Lecturing Exercises Discussion	Quiz Assignment Study Outcome
Course Content and Homework/Schedule/Tests Schedule
Week Course Content Week 1 syllabus, Introduction to probability (Chapter 1) Week 2 Probability axioms, sample space, event, permutation, (Chapter 2) 線上影片教學 Week 3 Conditional probability, independent events, total probability, Bayes’rule Week 4 Discrete random variable (RV) and PMF (Chapter 3) (HW #1, chapter2) Week 5 Expected and Variance of RV, conditional PMF Week 6 Some important discrete random variable (HW #2, chapter3) Week 7 Continuous RV, CDF, and PDF (Chapter 4) Week 8 Some important RV, Gaussian RV (chapter4) Week 9 11/6 midterm exam 期中考 (Chapter 2, 3, and 4) Week 10 Function of a random variable Week 11 Two random variables and joint CDF (Chapter 5) Week 12 Two random variables and joint PDF (Chapter 5) (HW #3, chapter 5) Week 13 Conditional CDF and PDF, independence Week 14 Functions of two RVs, Gaussian RVs (HW #4, chapter5) Week 15 Vector random variables, Functions of RV (Chapter 6) Week 16 2/25 final exam 期末考 (Chapter 4, 5, 6) e/1 no class 自主學習：Markov and Chebyshev inequality, and transform method 線上影片教學 self-directed learning
Evaluation
Homework 20% Midterm exam. 40% Final exam. 40%
Textbook & other References
Alberto Leon-Garica, Probability and Random Processes for Electrical Engineering, 2nd ed. Addison-Wesley.
Teaching Aids & Teacher's Website
iLearning3
Office Hours
Wed: 12:00-13:00
Sustainable Development Goals, SDGs(Link URL)
include experience courses：N

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Update Date, year/month/day：None	Printed Date, year/month/day：2025 / 7 / 03
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