本書主要針對《AP微積分》考試．根據美國大學理事會(College Board)提供的AP Calculus BC Course Description而編寫，涵蓋考試所需掌握的所有內容。
《AP微積分》對AP Calculus BC考試所要求的知識做了較全面的講解，另配有大量的例題和習題。此外，作者還對2008年的AP CalculusS BC所有真題做了詳盡的解析，能幫助考生零距離地接觸和了解AP微積分考試。書後附有所有AP Calculus BC的相關詞彙及釋義，便於考生查閱和記憶。另外此書以TI 83為例，對一些考試中所要用到的圖形計算器的重要功能和使用方法也進行了演示和說明。
本書共分10章，前5章及真題解析主要由王勁松編寫，後5章主要由餘瑤編寫，*後由王勁松統稿。

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 1
Chapter 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 2
Chapter 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 3
Chapter 5 Applications of Derivatives
第五章(導數的應用)
5．1 Equations of Tangent Lines and Normal Lines
(切線和法線方程)
512 Maximum and Minimum Values
(*大、*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 4
Chapter 6 Indefinite Integral
第六章(不定積分)
6 1 Integration
(積分)
6 2 Integration methods
(積分法)
Practice Problems 5
Chapter 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 6
Chapter 8 Applications of Integrals
第八章(積分應用)
8．1 Area between Two Curves
(曲線間面積)“
8 2 Volume of Solid of a Revolution
(旋轉體體積)
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 7
Chapter 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 8
Chapter 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
(泰勒級數與麥克勞林級數)
10．4 The Lag range Error Bound
(拉格朗日餘項)
Practice Problems 9
2008 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詞彙表