WOW !: 微積分目錄翻譯

微積分小筆記最近開始要重新整理了……

沒有工數小筆記真抱歉 :P ~

下面翻譯是我自己一個一個查的喔！

有錯誤請務必幫忙指出！

學期都過一半了，檢視一下自己到底學了什麼……

for 雲科工程班同學，分享是美德：）

《Essential Calculus, Early Transcendental Functions》
Ron Larson, Robert Hostetler, and Bruce H. Edwards　2008

Chapter 1 Limits and Their Properties 極限及其特性

Section 1.1 Linear Models and Rates of Change 線性模型及改變率
Section 1.2 Function and Their Graphs 函數及其圖形
Section 1.3 Inverse Functions 反函數
Section 1.4 Exponential and Logarithmic Functions 指數函數與對數函數
Section 1.5 Finding Limits Graphically and Numerically 由圖形及數值找到極限
Section 1.6 Evaluating Limits Analytically 解析求極限值
Section 1.7 Continuity and One Sided Limits 連續及單邊極限
Section 1.8 Infinite Limits無窮極限

Chapter 2 Differentiation 微分

Section 2.1 The Derivative and the Tangent Line Problem 導函數及切線問題
Section 2.2 Basic Differentiation Rules and Rates of Change 基礎微分法則及變化率
Section 2.3 Product and Quotient Rules and Higher-Order Derivatives 乘、除法法則及高階導函數
Section 2.4 The Chain Rule 連鎖法則(連鎖律)
Section 2.5 Implicit Differentiation 隱微分
Section 2.6 Derivatives of Inverse Functions 反函數的導數
Section 2.7 Related Rates 相對變化率
Section 2.8 Newton's Method 牛頓求根法

Chapter 3 Application of Differentiation 微分的應用

Section 3.1 Extrema on an Interval 區間中的極值
Section 3.2 Rolle's Theorem and the Mean Value Theorem 洛爾定理及均值定理
Section 3.3 Increasing and Decreasing Functions and the First Derivative Test 增、減函數及一階導數檢定法
Section 3.4 Concavity and the Second Derivative Test 凹性與二階導數檢定法
Section 3.5 Limits at Infinity 無窮極限
Section 3.6 Optimization Problems 最優化問題
Section 3.7 Differentials 差量（微分量）

Chapter 4 Integration 積分