We will study two basic concepts in this class:

1. The derivative of a function at some point, a concept motivated by computing the slope of a curve at a point;

2. The definite integral of a function over an interval, a concept motivated by evaluating the area of the region under a curve on an interval.

We will also study the connection beween these two concepts and some of their applications.

We will study two basic concepts in this class:

1. The derivative of a function at some point, a concept motivated by computing the slope of a curve at a point;

2. The define integral of a function over an interval, a concept motivated by evaluating the area of ​​the region under a curve on an interval.

We will also study the connection between these two concepts and some of their applications.

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。

Microscore is the mathematics that discusses the concept of "Limit". There are two specific limiting definitions, called differentiation and integral (Integration). The content of this course is the concept and application of extreme, differential, and integral.

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.