Type of Credit: Required
Credit(s)
Number of Students
Probability is an important subject and helps us to understand the randomness of events. In this course, students will learn fundamental concepts of probability theory, including the classical probability, (univariate and multivariate) random variables and their properties, expectation and variance, and some limit theorems.
能力項目說明
After this course, students are expected to learn some basic tools about probability and its applications. In addition, students may have basic knowledge to study advanced course such as mathematical statistics.
| 教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
|---|---|---|
| Week | Topic |
| 1 | Quick Review of Basic Mathematical Tools |
| 2 | Chapter 1: Some Basics in Classical Probability |
| 3 | Chapter 1: Some Basics in Classical Probability |
| 4 | Chapter 2: Univariate Random Variable and Its Properties |
| 5 | Chapter 2: Univariate Random Variable and Its Properties |
| 6 | Chapter 3: Some Special Distributions |
| 7 | Quiz 1 |
| 8 | Chapter 3: Some Special Distributions |
| 9 | Mitterm |
| 10 | Chapter 4: Multivariate Random Variables |
| 11 | Chapter 4: Multivariate Random Variables |
| 12 | Chapter 4: Multivariate Random Variables |
| 13 | Chapter 5: Limit Theorems |
| 14 | Quiz 2 |
| 15 | Chapter 5: Limit Theorems |
| 16 | Final |
| 17 | Capstone self-learning |
| 18 | Capstone self-learning |
Note: Students are expected to workload 3 hours in-class as well as outside-of-class.
Two quizzes: 20%
Midterm: 30%
Final: 50% (ALL materials in this course)
ps. Dates of Quizzes, Midterm, and Final will be announced.
Main reference: Ross, S. A First Course in Probability