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Chapter 1 Introduction of AP Calculus Exam AP微积分考试介绍Chapter 2 Functions函数 2.1 Five Basic Elementary Functions五种基本初等函数 2.2 Inverse Functions反函数 2.3 Composite Functions复合函数 2.4 Parametric Functions参变量函数 2.5 Polar Functions极坐标函数 2.6 Vector Functions向量函数 2.7 Transforming of Functions函数变换 【Practice Problems·课后练习】Chapter 3 Limit and Continuity极限与连续 3.1 Definition of a Limit极限的定义 3.2 Limit Laws极限（存在）定理 3.3 Rules of Limits极限的运算法则 3.4 Two Important Limits两个重要极限 3.5 Application of Limits：Finding Asymptotes极限的应用：找渐近线 3.6 Continuity连续 【Practice Problems·课后练习】Chapter 4 Definition of Derivative导数定义 4.1 Definition of Derivative导数的定义 4-2 ORe—Sided Derivative单侧导数 4.3 The Geometric Interpretation of Derivative导数的几何意义 4.4 The Relation Between Differentiability and Continuity可导与连续的关系 【Practice Problems·课后练习】Chapter 5 Rules for Finding Derivatives求导法则 5.1 Basic Rules for Finding Derivatives导数基本运算 5.2 High Order Derivatives高阶导数 5.3 Implicit Differentiation“隐函数”求导 5.4 The Derivative of an Inverse Function反函数求导 5.5 Derivatives of Parametric Functions参数方程求导 5.6 Derivatives of Polar Functions极坐标函数求导 5.7 Derivatives of Vector Functions向量函数求导 【Practice Problems·课后练习】Chapter 6 Applications of Derivatives导数应用 6.1 Equations of Tangent Lines and Normal Lines切线和法线方程 6.2 The Mean Value Theorem for Derivatives微分中值定理 6.3 Related Rates相关变化率 6.4 Motion运动学 6.5 Maxima and Minima最大值和最小值 6.6 L’Hopital’S Rule洛比达法则 【Practice Problems·课后练习】Chapter 7 Differentials微分 7.1 Defi n ition of Differential微分定义 7.2 Linear Approximation线性估算 7 3 Euler’S Method欧拉法则 【Practice Problems·课后练习】Chapter 8 The Indefinite Integral不定积分 8.1 The Antiderivative原函数 812 Integration Formulas积分公式 8.3 U—Substitution换元法、 8.4 Integ ration by Parts分部积分 8.5 The Method of Partial Fractions分式拆分求积分 【Practice Problems·课后练习】Chapter 9 The Definite Integral定积分 9.1 A Limit of Riemann Sum（Left，Right and Midpoint）黎曼和的极限 9.2 The Fi rst Fundamental Theorem of Calculus微积分第一基础理论 9.3 The Second Fundamental Theorem of Calculus微积分第二基础理论 9.4 Improper Integrals反常积分（广义积分） 【Practice Problems·课后练习】Chapter 10 Applications of Integral积分应用 10.1 The Mean Value Theorem for Integ rals积分中值定理 10.2 Area面积 10.3 Volume体积 10.4 Length of a Curve曲线长度 【Practice Problems·课后练习】Chapter 11 Differential Equations微分方程 11.1 Separation Variables可分离变量的微分方程 11.2 Logistic Differential Equation逻辑斯蒂微分方程 11.3 Slope Fields（Direction Fields）斜率场 【Practice Problems·课后练习】Chapter 1 2 Infinite Series无穷级数 12.1 ORe Definition for Infinite Series一个定义 12.2 Two Limits两个极限 12.3 Three Tests of Series三大审敛法 12.4 Four Important Series四种重要级数 12.5 Five Formulas of Power Series and Taylor Series五个重要公式 【Practice Problems·课后练习】Answers
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