機率
Probability
| 節 | 週二 | 週五 |
|---|---|---|
2 09:00–09:50 | 機率 EDB01（光復） | |
5 13:20–14:10 | 機率 EDB01（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Introduce the basic concepts of probability, random variables, stochastic process, laws of large number, and the central limit theorem.
Calculus, Linear Algebra
無備註
Course Website : E3平台 TA: TBD Office Hour: TBD E-mail: TBD Phone: 03-571-2121 ext. 54586
1. Homework assignments and Quizzes: 30% 2. Midterm exam: 35% 3. Final exam: 35% 4. Bonus: up to 5%
Chapter 1: Sample Space and Probability
- 講授：
- 3
Chapter 2: Discrete Random Variables
- 講授：
- 9
Chapter 3: General Random Variables
- 講授：
- 12
Chapter 4: Further Topics on Random Variables
- 講授：
- 12
Chapter 5: Limit Theorems
- 講授：
- 9
Chapter 7: Markov Chains
- 講授：
- 3
| 週次 | 主題 |
|---|---|
| 第 1 週 | Chapter 1: Sample space and probability, Conditional probability and independence 時數：[2026-02-24]李育民(2.00) |
| 第 1 週 | Chapter 1: Sample space and probability, Conditional probability and independence 時數：[2026-02-27]李育民(1.00) |
| 第 2 週 | Chapter 2: Discrete random variables, Probability mass functions (PMFs) 時數：[2026-03-03]李育民(2.00) |
| 第 2 週 | Chapter 2: Discrete random variables, Probability mass functions (PMFs) 時數：[2026-03-06]李育民(1.00) |
| 第 3 週 | Chapter 2: Functions of random variables, Expectation and variance 時數：[2026-03-10]李育民(2.00) |
| 第 3 週 | Chapter 2: Functions of random variables, Expectation and variance 時數：[2026-03-13]李育民(1.00) |
| 第 4 週 | Chapter 2: Joint PMFs, Conditioning, Independence 時數：[2026-03-17]李育民(2.00) |
| 第 4 週 | Chapter 2: Joint PMFs, Conditioning, Independence 時數：[2026-03-20]李育民(1.00) |
| 第 5 週 | Chapter 3: Continuous random variables, Probability density functions (PDFs), Cumulative distribution functions 時數：[2026-03-24]李育民(2.00) |
| 第 5 週 | Chapter 3: Continuous random variables, Probability density functions (PDFs), Cumulative distribution functions 時數：[2026-03-27]李育民(2.00) |
| 第 6 週 | Chapter 3: Normal random variables 時數：[2026-03-31]李育民(2.00) |
| 第 7 週 | Chapter 3: Joint PDFs of multiple random variables, Conditioning for continuous random variables 時數：[2026-04-07]李育民(2.00) |
| 第 7 週 | Chapter 3: Joint PDFs of multiple random variables, Conditioning for continuous random variables 時數：[2026-04-10]李育民(1.00) |
| 第 8 週 | Chapter 3: The continuous Bayes' rules 時數：[2026-04-14]李育民(2.00) |
| 第 8 週 | Chapter 3: The continuous Bayes' rules 時數：[2026-04-17]李育民(1.00) |
| 第 9 週 | Midterm exam 時數：[2026-04-21]李育民(1.00) |
| 第 9 週 | Midterm exam 時數：[2026-04-24]李育民(2.00) |
| 第 10 週 | Chapter 4: Derived distributions, Covariance and correlation 時數：[2026-04-28]李育民(2.00) |
| 第 11 週 | Chapter 4: Conditional expectation and variance as random variables 時數：[2026-05-05]李育民(2.00) |
| 第 11 週 | Chapter 4: Conditional expectation and variance as random variables 時數：[2026-05-08]李育民(2.00) |
| 第 12 週 | Chapter 4: Transforms 時數：[2026-05-12]李育民(2.00) |
| 第 12 週 | Chapter 4: Transforms 時數：[2026-05-15]李育民(1.00) |
| 第 13 週 | Chapter 4: Sum of a random number of independent random variables 時數：[2026-05-19]李育民(2.00) |
| 第 13 週 | Chapter 4: Sum of a random number of independent random variables 時數：[2026-05-22]李育民(1.00) |
| 第 14 週 | Chapter 5: Markov and Chebyshev inequalities, The weak law of large numbers 時數：[2026-05-26]李育民(2.00) |
| 第 14 週 | Chapter 5: Markov and Chebyshev inequalities, The weak law of large numbers 時數：[2026-05-29]李育民(2.00) |
| 第 15 週 | Chapter 5: Convergence in probability, The central limit theorem 時數：[2026-06-02]李育民(2.00) |
| 第 15 週 | Chapter 5: Convergence in probability, The central limit theorem 時數：[2026-06-05]李育民(1.00) |
| 第 16 週 | Chapter 5: The strong law of large numbers 時數：[2026-06-09]李育民(2.00) |
| 第 16 週 | Chapter 5: The strong law of large numbers 時數：[2026-06-12]李育民(1.00) |
| 第 17 週 | Final exam 2026-06-16(二),2026-06-19(五) 時數：[2026-06-16]李育民(2.00) |
| 第 18 週 | Chapter 7: Discrete-time Markov chains, Steady-state behavior of Markov chains 2026-06-23(二),2026-06-26(五) 時數：[2026-06-23]李育民(2.00) |
| 第 18 週 | Chapter 7: Discrete-time Markov chains, Steady-state behavior of Markov chains 2026-06-23(二),2026-06-26(五) 時數：[2026-06-26]李育民(1.00) |
Introduction to Probability, Second Edition, Dimitri P. Bertsekas and John N. Tsitsiklis, Athena Scientific, 2008.
- 地點
- ED 835
- 時間
- Friday 10:00~11:00
- 聯絡方式
- Email: yumin@nycu.edu.tw Phone: 31274 (03-513-1274)