介紹集合、函數、數系等基本觀念，同時學習數學證明的技巧，培養抽象思考與邏輯推論的能力，奠定學習高等數學如代數、分析、幾何、數論、組合學等數學理論與應用主題的基礎。Introduce basic concepts such as sets, functions, number systems, etc., while learning mathematical proof techniques, cultivating the ability of abstract thinking and logical inference, and laying the foundation for learning advanced mathematics such as algebra, analysis, geometry, number theory, combinatorics and other mathematical theory and application topics. .
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.
書名： A Transition to Advanced Mathematics, 8th Edition
作者： Douglas Smith, Maurice Eggen & Richard St. Andre
（滄海書局代理）
Book title: A Transition to Advanced Mathematics, 8th Edition
Author: Douglas Smith, Maurice Eggen & Richard St. Andre
(Agent of Canghai Book Company)
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 期中考期中考 midterm exam |
25 | |
| 期末考期末考 final exam |
25 | |
| 兩次小考兩次小考 Two quizzes |
30 | 各佔 15% |
