内容简介
《AP微积分》主要针对《AP微积分》考试.根据美国大学理事会(College Board)提供的AP Calculus BC Course Description而编写,涵盖考试所需掌握的所有内容。
《AP微积分》对AP Calculus BC考试所要求的知识做了较全面的讲解,另配有大量的例题和习题。此外,作者还对2008年的AP CalculusS BC所有真题做了详尽的解析,能帮助考生零距离地接触和了解AP微积分考试。书后附有所有AP Calculus BC的相关词汇及释义,便于考生查阅和记忆。另外此书以TI 83为例,对一些考试中所要用到的图形计算器的重要功能和使用方法也进行了演示和说明。
内页插图
目录
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 1
Chapter 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 2
Chapter 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 3
Chapter 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 4
Chapter 6 Indefinite Integral
第六章(不定积分)
6 1 Integration
(积分)
6 2 Integration methods
(积分法)
Practice Problems 5
Chapter 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 6
Chapter 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 7
Chapter 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 8
Chapter 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 9
2008 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
前言/序言
AP微积分 [AP Calculus] 电子书 下载 mobi epub pdf txt