NCHU Course Outline

Course Name	(中) 機率論(2260)
	(Eng.) Introduction to Probability
Offering Dept	Department of Applied Mathematics
Course Type	Required	Credits	3	Teacher	沈宗荏
Department	Department of Applied Mathematics/Undergraduate	Language	English	Semester	2026-SPRING
Course Description	(1) Understand the theoretical foundations and applications of probability. (2) Provide students with the probability theory knowledge needed as preparation for subsequent study in Mathematical Statistics (I) and (II).
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
Become familiar with the properties and applications of probability theory, including common probability distributions and the relationships among them. Gain a solid command of the fundamental terminology in probability, and prepare for subsequent study in Mathematical Statistics (I) and (II).	3.Professional Knowledge in Statistical Analysis 6.Theory of Mathematical Analysis, Statistics, and Mechanics	70 30	Lecturing Discussion Other	Other Quiz Assignment Attendance Written Presentation
Course Content and Homework/Schedule/Tests Schedule
Week Course Content Week 1 Chapter 1. Probability and Distribution Topics: Review of Set Notations; Probability Set Functions Week 2 Chapter 1. Probability and Distribution Topic: Conditional Probability and Independence Week 3 Chapter 1. Probability and Distribution Topics: Random Variables; Cumulative Distribution Functions Week 4 Chapter 1. Probability and Distribution Topics: Expectation of a Random Variable; Some Special Expectations (Moment Generating Functions) Week 5 Chapter 1. Probability and Distribution Topic: Important Inequalities Week 6 Chapter 2. Multivariate Distributions Topics: Marginal Distributions and Moment Generating Functions of Bivariate Distributions Week 7 Chapter 2. Multivariate Distributions Topics: Conditional Distributions Week 8 Chapter 2. Multivariate Distributions Topics: Expectation and Variance of a Conditional Distribution Week 9 Chapter 2. Multivariate Distributions Topics: Independent Random Variables; Correlation Coefficient 4/23 (Thursday) 18:30-21:00 Midterm Exam (I will run our classes as usual this week; please be present in classes.) Week 10 Chapter 2. Multivariate Distributions Topics: Extension to Several Random Variables; Transformations of Variables Week 11 Chapter 2. Multivariate Distributions Topics: Transformations of Variables; Jacobian of the Transformation Week 12 Chapter 2. Multivariate Distributions Chapter 3. Some Special Distributions Topic: Binomial and Related Distributions Week 13 Chapter 3. Some Special Distributions Topics: Poisson and Related Distributions Week 14 Chapter 3. Some Special Distributions Topics: Gamma and Chi-square Distributions Week 15 Chapter 3. Some Special Distributions Topics: Some Continuous Distributions 6/4 (Thursday) 18:30-21:00 Terminal Exam. Week 16 I will schedule one class for you to review your marked exam sheets. self-directed learning    01.Participation in professional forums, lectures, and corporate sharing sessions related to industry-government-academia-research exchange activities.    02.Viewing multimedia materials related to industry and academia.
Evaluation
midterm exam 4/23 (9th week) during 18:30~21:00: 35% terminal exam 6/4 (15th week) during 18:30~21:00: 35% miscellanea (including quizzes, class presence, etc.): 30%
Textbook & other References
Introduction to Mathematical Statistics, 8th Edition, by Robert V. Hogg, Joseph W. Mckean and Allen T. Craig. { 歐亞書局代理}
Teaching Aids & Teacher's Website
iLearning
Office Hours
TBA
Sustainable Development Goals, SDGs(Link URL)
include experience courses：N

Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day：2026/01/07 11:58:28	Printed Date, year/month/day：2026 / 1 / 09
The second-hand book website：http://www.myub.com.tw/