Index of Applications
CHAPTER R Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 integer Exponents and Scientific Notation
Section R.3 Rational Exponents and Radicals
Section R.4 Polynomials and Multiplication of Radicals
Problem Recognition Exercises: Simplifying Algebraic Expressions
Section R.S Factoring
Section R.6 Rational Expressions and More Operations on Radicals
Algebra for Calculus
Key Concepts
Review Exercises
Test
CHAPTER 1 Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications with Linear and Rational Equations
Section 1.3 Complex Numbers
Section 1.4 Quadratic Equations
Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations
Section 1.5 Applications of Quadratic Equations
Section 1.6 More Equations and Applications
Section 1.7 Linear, Compound, and Absolute Value Inequalities
Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities
Equations and Inequalities for Calculus
Key Concepts
Review Exercises
Test
Cumulative Review Exercises
CHAPTER 2 Functions and Relations
Section 2.1 The Rectangular Coordinate System and Graphing Utilities
Section 2.2 Circles
Section 2.3 Functions and Relations
Section 2.4 Linear Equations in Two Variables and Linear Functions
Section 2.5 Applications of Linear Equations and Modeling
Problem Recognition Exercises: Comparing Graphs of Equations
Section 2.6 Transformations of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2,8 Algebra of Functions and Function Composition
Key Concepts
Review Exercises
Test
CHAPTER 3 Cumulative Review Exercises
Polynomial and Rational Functions
Section 3.1 Quadratic Functions and Applications
Section 3.2 Introduction to Polynomial Functions
Section 3.3 Division of Polynomials and the Remainder and Factor Theorems
Section 3.4 Zeros of Polynomials
Section 3.5 Rational Functions
Problem Recognition Exercises: Polynomial and Rational Functions
Section 3.6 Polynomial and Rational Inequalities
Problem Recognition Exercises: Solving Equations and Inequalities
Section 3.7 Variation
Key Concepts
Review Exercises
Test
Cumulative Review Exercises
CHAPTER 4 Exponential and Logarithmic Functions
Section 4.1 Inverse Functions
Section 4.2 Exponential Functions
Section 4,3 Logarithmic Functions
Problem Recognition Exercises: Analyzing Functions
Section 4.4 Properties of Logarithms
Section 4.5 Exponential and Logarithmic Equations and Applications
Section 4.6 Modeling with Exponential and Logarithmic Functions
Key Concepts
Review Exercises
Test
Cumulative Review Exercises
CHAPTER 5 Trigonometric Functions
Section 53 Angles and Their Measure
Section 5.2 Right Triangle Trigonometry
Section 5.3 Trigonometric Functions of Any Angle
Section 5.4 Trigonometric Functions Defined on the Unit Circle
Section 5.5 Graphs of Sine and Cosine Functions
Section 5.6 Graphs of Other Trigonometric Functions
Problem Recognition Exercises: Comparing Graphical Characteristics of
Trigonometric Functions
Section 5.7 Inverse Trigonometric Functions
Key Concepts
Review Exercises
Test
Cumulative Review Exercises
CHAPTER 6 Analytic Trigonometry
Section 6.1 Fundamental Trigonometric Identities
Section 6.2 Sum and Difference Formulas
Section 6,3 Double-Angle, Power-Reducing, and
Half-Angle Formulas
Section 6.4 Product-to-Sum and Sum-to-Product Formulas
Section 6.5 Trigonometric Equations
Problem Recognition Exercises: Trigonometric Identities and Trigonometric Equations
Key Concepts
Review Exercises
Test
Cumulative Review Exercises
CHAPTER 7 Applications of Trigonometric Functions
Section 7.1 Applications of Right Triangles

本书主要包括集与实数线，方程与不等式，函数与关系式，多项式与有理函数，指数函数和对数函数，三角函数，解析三角，三角函数的应用，用于极坐标系统和矢量的大地测量学，方程组与不等式组，矩阵、行列式和应用，解析几何，序列、级数、归纳和概率，微积分的练习题及举例等内容。