本課程的目的是要培養學生以數學方法來思考，並且能了解並且創造數學證明。此課程將幫助學生發展對嚴謹的證明的分析及寫作能力。The purpose of this course is to train students to think mathematically and to understand and create mathematical proofs. This course will help students develop the ability to analyze and write rigorous proofs.
學習邏輯、證明技巧、集合、函數的觀念，培養抽象思考與邏輯推論的能力。邏輯的內容主要為介紹基本邏輯敘述。集合部份為介紹什麼是集合、聯集與交集的意思及相關的性質。函數的內容為介紹什麼是函數、一對一、映成函數的意思及相關的性質。證明的技巧主要是講述如何證明一個問題，也會提及相關的邏輯觀念。
Learn the concepts of logic, proof skills, sets, and functions, and cultivate the ability of abstract thinking and logical deduction. The content of logic mainly introduces basic logical narratives. The set part introduces what sets are, the meanings of unions and intersections, and their related properties. The content of function is to introduce what a function is, one-to-one, the meaning of mapping into a function and related properties. The techniques of proof mainly describe how to prove a problem, and also mention related logical concepts.
Smith, D., Eggen, M., & St Andre, R., A transition to advanced mathematics (8th edition).
Smith, D., eg He, M., & stand Re, R., A transition to advanced mathematics (8TH edition).
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 小考小考 Quiz |
30 | |
| 期中考&期末考期中考&期末考 Midterm exam & final exam |
60 | |
| 點名成績點名成績 roll call results |
10 |
