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本書對AP Calculus BC考試所要求的知識做瞭全麵的講解，另配有大量的例題和習題。

餘瑤，美國波士頓大學碩士，曾任教於美國Newman Preparatory sChool。在美國專業刊物發錶過多篇關於“美育”及“藝術與教學”的相關論文。現任教予北京王府學校，是深受學生及社會認可的資深AP教師。

王勁鬆，畢業於華中科技大學財務金融係。先後就職於長江大學國際學院、北京王府學校。擔任統計、A—LEVEL高數、AP微積分等的教學工作。教學經驗豐富，注重教學研究，善於總結，講解深入淺齣，深受學生愛戴。

Chapter 1 Preknowledg 第一章(預備知識) 1．1 Power Functions (冪函數) 1．2 Exponential Functions (指數函數) 1 3 Logarithmic Functions (對數函數) 1 4 Trigonometric Functions (三角函數)Chapter 2 Limits&Continuity 第二章(極限與連續) 2．1 Limil (極限) 2 2 Evaluating Limits (計算極限) 2 3 Continuity (連續性) Graphing Calculator Tips Practice Problems 1Chapter 3 Definition of Derivative 第三章(導數的定義) 3．1 Velocities and Slopes (速度和斜率) 3 2 Derivative (導數) 3 3 Derivative as a Function (導函數) 3．4 Differe nliability and Continuity (可導和連續) 3．5 Higher Derivatives (高階導數) G raphing Calculator Tips Practice Problems 2Chapter 4 Computation of Derivatives 第四章 (導數的計算) 4．1 Basic Differentiat|on Formulas (求導公式) 4．2 Rules for Computing Derivatives (求導法則) 4．3 Implicit Differentiation (隱函數求導) Practice Problems 3Chapter 5 Applications of Derivatives 第五章(導數的應用) 5．1 Equations of Tangent Lines and Normal Lines (切綫和法綫方程) 512 Maximum and Minimum Values (最大、最小值) 5．3 Graphing Using Derivatives (導數與函數圖像) b 4 Helatecl Hates (相關變化率) 515 L’Hopital’s Rule (洛必達法則) 5 6 Motion Graphing Calculator Tips Practice Problems 4Chapter 6 Indefinite Integral 第六章(不定積分) 6 1 Integration (積分) 6 2 Integration methods (積分法) Practice Problems 5Chapter 7 Definite Integrals 第七章(定積分) 7 1 Riemann sums and Trapezoid rules (黎曼和與梯形法則) 7．2 Definite Integrals (定積分) 7．3 Imprope r Integrals(BC) (廣義積分) 7．4 Fundamental Theorem of Calculus (微積分基本定理) Practice Problems 6Chapter 8 Applications of Integrals 第八章(積分應用) 8．1 Area between Two Curves (麯綫間麵積)“ 8 2 Volume of Solid of a Revolution (鏇轉體體積) 8．3 Application of Definite Integral (定積分應用) 8 4 App roximation (估算) 8 5 Mean Value Theorem of Integ rals (積分中值定理) Practice Problems 7Chapter 9 DifferentiaI Equations。 第九章(微分方程) 9．1 Separable Differential Equations (可分離微分方程) 9．2 Parametric Functions (參數方程) 9 3 Slope Fields (斜率場) 9．4 Logistic Equation (邏輯斯諦方程) Graphing Calculator Tips Practice Problems 8Chapter 10 Infinite Series 第十章(無窮級數) 10．1 Sequence and Se ries (數列和級數) 10．2 Divergence and Convergence (發散和收斂) 10．3 l aylor and Maciaurin Series (泰勒級數與麥剋勞林級數) 10．4 The Lag range Error Bound (拉格朗日餘項) Practice Problems 92008 AP Calculus BC真題2008 AP Calculus BC真題解析附錄1 習題答案附錄2 AP Calculus BC詞匯錶
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