SemesterFall Semester, 2025
DepartmentSophomore Class of Department of Statistics
Course NameTheory of Probability
InstructorCHANG CHIH-HAO
Credit3.0
Course TypeRequired
PrerequisiteCalculus 2、Calculus AorCalculus、Singal Variable Calculus I
Course Objective
Course Description
Course Schedule























































































































Week Course Content & Assigned Reading Teaching Activities & Pre-/Post-Class Assignments TA Instructional Activities
1 Combinatorial Analysis Assign exercises from Chapter 1 of the textbook as homework; solutions will be discussed during the TA session TA classroom not assigned. No TA session in Week 1
2 Axioms of Probability Assign exercises from Chapter 2 of the textbook as homework; solutions will be discussed during the TA session Review Week 1 lecture content; demonstrate and explain exercises
3 Conditional Probability Assign exercises from Chapter 3 of the textbook as homework; solutions will be discussed during the TA session Review Week 2 lecture content; demonstrate and explain exercises
4 Independence Assign exercises from Chapter 3 of the textbook as homework; solutions will be discussed during the TA session Review Week 3 lecture content; demonstrate and explain exercises
5 Random Variables Assign exercises from Chapter 4 of the textbook as homework; solutions will be discussed during the TA session Review Week 4 lecture content; demonstrate and explain exercises
6 Random Variables Assign exercises from Chapter 4 of the textbook as homework; solutions will be discussed during the TA session Review Week 5 lecture content; demonstrate and explain exercises
7 Random Variables Assign exercises from Chapter 5 of the textbook as homework; solutions will be discussed during the TA session Review Week 6 lecture content; demonstrate and explain exercises
8 Midterm Exam Midterm Exam Review Week 7 lecture content; demonstrate and explain exercises
9 Joint Distributions Assign exercises from Chapter 6 of the textbook as homework; solutions will be discussed during the TA session Review midterm exam content
10 Joint Distributions Assign exercises from Chapter 6 of the textbook as homework; solutions will be discussed during the TA session Review Week 9 lecture content; demonstrate and explain exercises
11 Properties of Expectation Assign exercises from Chapter 7 of the textbook as homework; solutions will be discussed during the TA session Review Week 10 lecture content; demonstrate and explain exercises
12 Properties of Expectation Assign exercises from Chapter 7 of the textbook as homework; solutions will be discussed during the TA session Review Week 11 lecture content; demonstrate and explain exercises
13 Limit Theorems Assign exercises from Chapter 8 of the textbook as homework; solutions will be discussed during the TA session Review Week 12 lecture content; demonstrate and explain exercises
14 Limit Theorems Assign exercises from Chapter 8 of the textbook as homework; solutions will be discussed during the TA session Review Week 13 lecture content; demonstrate and explain exercises
15 Statistical Simulation Assign exercises from Chapter 10 of the textbook as homework; solutions will be discussed during the TA session Review Week 14 lecture content; demonstrate and explain exercises
16 Final Exam Final Exam Review Week 15 lecture content; demonstrate and explain exercises
17 Independent Review and Study Independent Review and Study Independent Review and Study
18 Independent Review and Study Independent Review and Study Independent Review and Study

Teaching Methods
Teaching Assistant

Not Applicable yet.


Requirement/Grading

Midterm Exam:40%

Final Exam:40%

Regular homework assignments:20%



Note: Final grades will be published on the Moodle platform in an Excel file, using an anonymous format with student ID numbers retained.


Textbook & Reference

Ross, Sheldon M. A First Course in Probability. 10th ed., Pearson, 2019.


Urls about Course
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