機率 - 教學大綱

課程名稱 機率
Probability
開課單位 電資學士
課程類別 必修 學分 3 授課教師 陳後守
選課單位 電資學士 / 學士班 授課使用語言 中文 開課學期 1101
課程簡述 In this course, the students will learn the basic concept of probability and its application to the advanced courses. The contents of this course is consisting of

    
(1) The axioms of probability
(2) Discrete random variable: PMF
(3) Continuous random variable: CDF and PDF
(4) Vector random variables: joint PMF, CDF, and PDF
(5) Sum of random variables
先修課程名稱
課程與核心能力關聯配比(%) 課程目標 1. Learn the basic concept of probability theory.
2. Use the probability knowledge for advanced courses.
核心能力
配比(%)
課程目標之教學方法與評量方法 教學方法 講授
評量方法 作業
測驗
授課內容(單元名稱與內容、習作/每週授課、考試進度-共18週)
1st week: syllabus, Introduction to probability (Chapter 1)
2nd week: Probability axioms, sample space, event, permutation, (Chapter 2)
3rd week: Conditional probability, independent events, total probability, Bayes’rule
4th week: Discrete random variable (RV) and PMF (Chapter 3)
5th week: Expected and Variance of RV, conditional PMF (HW #1, due)
6th week: Some important discrete random variable
7th week: Continuous RV, CDF, and PDF (Chapter 4, HW #2, due)
8th week: Some important RV, Gaussian RV (HW #3, due)
9th week: Midterm exam. (Chapter 2, 3, and 4)
10th week: Function of a random variable
11th week: Markov and Chebyshev inequality, and transform method
12th week: Two random variables and joint CDF and PDF (Chapter 5, HW #4, due),
13th week: Conditional CDF and PDF, independence
14th week: Functions of two RVs, Gaussian RVs ( HW #5, due)
15th week: Vector random variables (Chapter 6
16th week: Functions of RV, jointly Gaussian (HW #6, due)
17th week: no class on 1/1
18th week: Final exam. (Chapter 4, 5, 6)
學習評量方式
Homework 30%
Midterm exam. 35%
Final exam. 35%
教科書&參考書目(書名、作者、書局、代理商、說明)
Alberto Leon-Garica, Probability and Random Processes for Electrical Engineering, 2nd ed. Addison-Wesley.
課程教材(教師個人網址請列在本校內之網址)
iLearning3
課程輔導時間
Wed: 12:00-13:00, 16:00-17:00