| 課程大綱 Syllabus |
分配時數 (小時) |
備註
Notes |
單元主題
Unit topic |
內容綱要
Content summary |
講授 |
示範 |
習作 |
其他 |
| Combinatorial Analysis |
Introduction
The Basic Principle of Counting
Permutations
Combinations
Multinomial Coefficients
The Number of Integer Solutions of Equations |
3 |
0 |
1 |
0 |
|
| Axioms of Probability |
Introduction
Sample Space and Events
Axioms of Probability
Some Simple Propositions
Sample Spaces Having Equally Likely Outcomes
Probability As a Continuous Set Function
Probability As a Measure of Belief |
3 |
0 |
1 |
0 |
|
| Conditional Probability and Independence. |
Introduction
Conditional Probabilities
Bayes' Formula
Independent Events
P(．|F) is a Probability |
6 |
0 |
2 |
0 |
|
| Random Variables. |
Random Variables.
Discrete Random Variables
Expected Value
Variance
Discrete Probability Distribution
Properties of the Cumulative Distribution Function |
9 |
0 |
3 |
0 |
|
| 期中考 |
以ch1~ch4為考試範圍 |
0 |
0 |
4 |
0 |
|
| Continuous Random Variables. |
Introduction
Expectation and Variance of Contunuous Random Variables
Continuous Distributions
The Distribution of a Function of a Random Variable |
9 |
0 |
3 |
0 |
|
| Jointly Distributed Random Variables. |
Jointly Distribution Functions
Independent Random Variables
Sums of Independent Random Variables
Conditional Distributions
Order Statistics
Joint Probability Distribution of Functions of Random Variables
Exchangeable Random Variables |
9 |
0 |
3 |
0 |
|
| Properties of Expectation. |
Expectation of Sums of Random Variables
Covariance, Variance of Sums, and Correlations
Conditional Expectation and Prediction.
Additional Properties of Normal Random Variables |
9 |
0 |
3 |
0 |
|
| 期末考 |
以ch5~ch7為考試範圍 |
0 |
0 |
4 |
0 |
|