To gain a solid concept of linear algebra – theories and applications
Chapter 1. Combinatorial Analysis
Chapter 2. Axioms of Probability
Chapter 3. Conditional Probability and Independence
Chapter 4. Random Variables
Chapter 5. Continuous Random Variables
Chapter 6. Jointly Distributed Random Variables
Chapter 7. Properties of Expectation
Chapter 8. Limit Theorems (option)

To gain a solid concept of linear algebra – theories and applications
Chapter 1. Combinatorial Analysis
Chapter 2. Axioms of Probability
Chapter 3. Conditional Probability and Independence
Chapter 4. Random Variables
Chapter 5. Continuous Random Variables
Chapter 6. Jointly Distributed Random Variables
Chapter 7. Properties of Expectation
Chapter 8. Limit Theorems (option)

本課程是第一個機率統計數理基礎課程，內容包括機率概念、隨機變數、機率分配、與期望值。本課程最主要在訓練學生把連加與積分方法，運用在計算單一或多個隨機變數時的機率和期望值的計算，並從這個過程中具體瞭解機率的本質。

This course is the first chance statistical mathematical basic course, including the concept of chance, random variables, chance allocation, and expected values. This course mainly trains students in the calculation of the probability and expected value of one or more random variables in a single, and understand the nature of the probability from this process.

Textbook: A First Course in Probability by Sheldon Ross,10 edition.

Textbook: A First Course in Probability by Sheldon Ross,10 edition.