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. This course will also introduce the basic idea of the stochastic process.
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 for handling 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 |
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Tentative topics are given below:
1. Introduction to probability
2. Classic probability
3. Discrete random variable
4. Continuous random variable
5. Joint random variables
6. Limit theorems
7. Stochastic process
NOTE:
1. Calculus is required.
2. Students are expected to workload 3 hours in-class as well as outside-of-class.
3. 2023 Dec. 15 and Dec. 29 are (temporarily) scheduled as self-study for the coming quiz and final exam.
Tentative schedule is given below:
Chapter 1 Week 1
Chapter 2 Week 1-2
Chapter 3 Week 3-4
Chapter 4 Week 5-6
Quiz 1 Week 7
Chapter 5 Week 8-9
Midterm Week 10
Chapter 5 Week 11
Chapter 6 Week 12
Chapter 7 Week 13
Self study for preparing Quiz 2 Week 14
Quiz 2 Week 15
Self study for preparing Final Week 16
Final exam Week 17
Discuss the final exam Week 18
Quizzes (x2): 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.
| 書名 Book Title | 作者 Author | 出版年 Publish Year | 出版者 Publisher | ISBN | 館藏來源* | 備註 Note |
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