微積分甲（一）的課程主要先從單變數函數的觀點出發，講述單變數函數的微分學與積分學，內容大致有微分學中的函數的極限、連續性、微分理論，與積分學中的定積分、不定積分與其相關的應用，先讓同學對單變數函數的微積分有一定程度的掌握與理解，以便良好地銜接微積分甲（二）中向量值函數與多變數函數相關理論的學習。The course of Calculus A (I) mainly starts from the point of view of functions of one variable and discusses the differential calculus and integral calculus of single variable functions. The content roughly includes the limit, continuity and differential theory of functions in differential calculus, and the concepts of integral calculus. For definite integrals, indefinite integrals and their related applications, students should first have a certain degree of mastery and understanding of the calculus of single-variable functions, so that they can well connect with the study of theories related to vector-valued functions and multi-variable functions in Calculus A (II).
微積分是討論 ”極限(Limit)” 這一觀念的數學。有兩種特定的極限定義，分別稱作微分(Differentiation)和積分(Integration)。本課程之內容即為極限、微分、和積分之觀念及應用。
Calculus is mathematics that discusses the concept of "limit". There are two specific definitions of limits, called differentiation and integration. The content of this course is the concepts and applications of limits, differentials, and integrals.
G. B. Thomas, etc.; Thomas’ calculus: Early Transcendentals; 15th Edition, 2024, Pearson
G. B. Thomas, etc.; Thomas’ calculus: early transcendentals; 15TH edition, 2024, Pearson
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 課堂表現課堂表現 Classroom performance |
10 | 演習課上台講解習題 |
| 小考I小考I Quiz I |
20 | |
| 期中考期中考 midterm exam |
25 | 考試範圍包含小考I |
| 小考II小考II Quiz II |
20 | |
| 期末考期末考 final exam |
25 | 考試範圍包含小考II |
