余瑶，美国波士顿大学硕士，曾任教于美国Newman Preparatory sChool。在美国专业刊物发表过多篇关于“美育”及“艺术与教学”的相关论文。现任教予北京王府学校，是深受学生及社会认可的资深AP教师。
王劲松，毕业于华中科技大学财务金融系。先后就职于长江大学国际学院、北京王府学校。担任统计、A—LEVEL高数、AP微积分等的教学工作。教学经验丰富，注重教学研究，善于总结，讲解深入浅出，深受学生爱戴。

本书对AP Calculus BC考试所要求的知识做了全面的讲解，另配有大量的例题和习题。

Chapter 1 Preknowledg 第一章(预备知识) 1．1 Power Functions (幂函数) 1．2 Exponential Functions (指数函数) 1 3 Logarithmic Functions (对数函数) 1 4 Trigonometric Functions (三角函数)Chapter 2 Limits&Continuity 第二章(极限与连续) 2．1 Limil (极限) 2 2 Evaluating Limits (计算极限) 2 3 Continuity (连续性) Graphing Calculator Tips Practice Problems 1Chapter 3 Definition of Derivative 第三章(导数的定义) 3．1 Velocities and Slopes (速度和斜率) 3 2 Derivative (导数) 3 3 Derivative as a Function (导函数) 3．4 Differe nliability and Continuity (可导和连续) 3．5 Higher Derivatives (高阶导数) G raphing Calculator Tips Practice Problems 2Chapter 4 Computation of Derivatives 第四章 (导数的计算) 4．1 Basic Differentiat|on Formulas (求导公式) 4．2 Rules for Computing Derivatives (求导法则) 4．3 Implicit Differentiation (隐函数求导) Practice Problems 3Chapter 5 Applications of Derivatives 第五章(导数的应用) 5．1 Equations of Tangent Lines and Normal Lines (切线和法线方程) 512 Maximum and Minimum Values (最大、最小值) 5．3 Graphing Using Derivatives (导数与函数图像) b 4 Helatecl Hates (相关变化率) 515 L’Hopital’s Rule (洛必达法则) 5 6 Motion Graphing Calculator Tips Practice Problems 4Chapter 6 Indefinite Integral 第六章(不定积分) 6 1 Integration (积分) 6 2 Integration methods (积分法) Practice Problems 5Chapter 7 Definite Integrals 第七章(定积分) 7 1 Riemann sums and Trapezoid rules (黎曼和与梯形法则) 7．2 Definite Integrals (定积分) 7．3 Imprope r Integrals(BC) (广义积分) 7．4 Fundamental Theorem of Calculus (微积分基本定理) Practice Problems 6Chapter 8 Applications of Integrals 第八章(积分应用) 8．1 Area between Two Curves (曲线间面积)“ 8 2 Volume of Solid of a Revolution (旋转体体积) 8．3 Application of Definite Integral (定积分应用) 8 4 App roximation (估算) 8 5 Mean Value Theorem of Integ rals (积分中值定理) Practice Problems 7Chapter 9 DifferentiaI Equations。 第九章(微分方程) 9．1 Separable Differential Equations (可分离微分方程) 9．2 Parametric Functions (参数方程) 9 3 Slope Fields (斜率场) 9．4 Logistic Equation (逻辑斯谛方程) Graphing Calculator Tips Practice Problems 8Chapter 10 Infinite Series 第十章(无穷级数) 10．1 Sequence and Se ries (数列和级数) 10．2 Divergence and Convergence (发散和收敛) 10．3 l aylor and Maciaurin Series (泰勒级数与麦克劳林级数) 10．4 The Lag range Error Bound (拉格朗日余项) Practice Problems 92008 AP Calculus BC真题2008 AP Calculus BC真题解析附录1 习题答案附录2 AP Calculus BC词汇表