此課程為科學研究的基礎﹐我們要談如何以數學的方法來研究變動中的事物。

包括四個主要的大課題：有連續性﹑是微分法﹑是積分法還有級數之收斂性。

原理與計算並重。上學期講單變數微積分而下學期則談級數與多變數微積分。

不管你將來要走向那一個行業﹐此種訓練對你百分之百是必要且大有好處的。

讓我們以嶄新的心情﹐用有限理性來探討那深藏無限奧祕又豐盛無比的真理。

This course is the basis of scientific research. We will talk about how to use mathematical methods to study changing things.

It includes four main topics: continuity, differential calculus, integral calculus and convergence of series.

Pay equal attention to principles and calculations. The first semester will focus on single variable calculus and the next semester will focus on series and multivariable calculus.

No matter which industry you want to go to in the future, this kind of training is 100% necessary and beneficial to you.

Let us use a new mood and limited rationality to explore the truth that contains infinite mysteries and is extremely rich.

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.

Thomas' Calculus, 12th Edition, by George B. Thomas Jr./Maurice D. Weir/Joel R. Hass, 2010.

Thomas' Calculus, 12th Edition, by George B. Thomas Jr./Maurice D. Weir/Joel R. Hass, 2010.