機率與統計
Probability and Statistics
學期
112-1
學分
3
學分
當期課號
910166
永久課號
SESE20154
開課單位
系統工程與科技學士學位學程
授課教師
蘇英俊
類別
必修
上課時間表
| 節 | 週一 | 週四 |
|---|---|---|
1 08:00–08:50 | 機率與統計 | |
3 10:10–11:00 | 機率與統計 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
1. Foundations of probability theory. 2. Probabilistic and statistical description and analysis in engineering applications
先修科目
Calculus
教學方式
None
評分方式
General performance 30% Midterm Exam. 30% Final Exam. 40%
課程大綱
- Discrete Random Variables
- Continuous Random Variables
- Two Random Variables
- Vector Random Variables
- Probability Basics
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Review of Set Theory, Probability Models |
| 第 1 週 | Review of Set Theory, Probability Models |
| 第 2 週 | Experiments, Axioms of Probability |
| 第 2 週 | Experiments, Axioms of Probability |
| 第 3 週 | Conditional Probability, Independency |
| 第 3 週 | Conditional Probability, Independency |
| 第 4 週 | Discrete Random Variables, Probability Mass Function |
| 第 4 週 | Discrete Random Variables, Probability Mass Function |
| 第 5 週 | Expected Value and Moments of Discrete Random Variable |
| 第 5 週 | Expected Value and Moments of Discrete Random Variable |
| 第 6 週 | Conditional Probability Mass Function, Important Discrete Random Variables |
| 第 6 週 | Conditional Probability Mass Function, Important Discrete Random Variables |
| 第 7 週 | Continuous Random Variables, Cumulative Distribution Function, Probability Density Function |
| 第 7 週 | Continuous Random Variables, Cumulative Distribution Function, Probability Density Function |
| 第 8 週 | Important Continuous Random Variables |
| 第 8 週 | Important Continuous Random Variables |
| 第 9 週 | Midterm exam. |
| 第 9 週 | Midterm exam. |
| 第 10 週 | Functions of a Random Variable, Markov and Chebyshev Inequalities |
| 第 10 週 | Functions of a Random Variable, Markov and Chebyshev Inequalities |
| 第 11 週 | Joint Cumulative Distribution Function, Joint Probability Density Function |
| 第 11 週 | Joint Cumulative Distribution Function, Joint Probability Density Function |
| 第 12 週 | Joint Moments, Functions of Two Random Variables |
| 第 12 週 | Joint Moments, Functions of Two Random Variables |
| 第 13 週 | Conditional Probability, Conditional Expectation |
| 第 13 週 | Conditional Probability, Conditional Expectation |
| 第 14 週 | Jointly Gaussian Random Variables, Generating Gaussian Random Variables |
| 第 14 週 | Jointly Gaussian Random Variables, Generating Gaussian Random Variables |
| 第 15 週 | Vector Random Variables, Functions of Several Random Variables |
| 第 15 週 | Vector Random Variables, Functions of Several Random Variables |
| 第 16 週 | Expected Values of Vector Random Variables |
| 第 16 週 | Expected Values of Vector Random Variables |
| 第 17 週 | Final exam. |
| 第 17 週 | Final exam. |
教科書
Alberto Leon-Garcia, Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Ed., Pearson Prentice Hall, 2008
Office Hours
- 地點
- 軍108
- 時間
- Friday 08:00~11:00
- 聯絡方式
- 03-3809991 ext. 224 Email: suhanson@gmail.com