CHAPTER P - PREREQUISITES

• P.1 Real Numbers
• P.2 Cartesian Coordinate System
• P.3 Linear Equations and Inequalities
• P.4 Lines in the Plane
• P.5 Solving Equations Graphically, Numerically, and Algebraically
• P.6 Complex Numbers
• P.7 Solving Inequalities Algebraically and Graphically

CHAPTER 1 - FUNCTIONS AND GRAPHS

• 1.1 Modeling and Equation Solving
• 1.2 Functions and Their Properties
• 1.3 Twelve Basic Functions
• 1.4 Building Functions from Functions
• 1.5 Parametric Relations and Inverses
• 1.6 Graphical Transformations
• 1.7 Modeling with Functions

CHAPTER 2 - POLYNOMIAL, POWER, AND RATIONAL FUNCTIONS

• 2.1 Linear and Quadratic Functions and Modeling
• 2.2 Modeling with Power Functions
• 2.3 Polynomial Functions of Higher Degree with Modeling
• 2.4 Real Zeros of Polynomial Functions
• 2.5 Complex Zeros and the Fundamental Theorem of Algebra
• 2.6 Graphs of Rational Functions
• 2.7 Solving Equations in One Variable
• 2.8 Solving Inequalities in One Variable

CHAPTER 3 - EXPONENTIAL, LOGISTIC, AND LOGARITHMIC FUNCTIONS

• 3.1 Exponential and Logistic Functions
• 3.2 Exponential and Logistic Modeling
• 3.3 Logarithmic Functions and Their Graphs
• 3.4 Properties of Logarithmic Functions
• 3.5 Equation Solving and Modeling
• 3.6 Mathematics of Finance

CHAPTER 4 - TRIGONOMETRIC FUNCTIONS

• 4.1 Angles and Their Measures
• 4.2 Trigonometric Functions of Acute Angles
• 4.3 Trigonometry Extended: The Circular Functions
• 4.4 Graphs of Sine and Cosine: Sinusoids
• 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant
• 4.6 Graphs of Composite Trigonometric Functions
• 4.7 Inverse Trigonometric Functions
• 4.8 Solving Problems with Trigonometry

CHAPTER 5 - ANALYTIC TRIGONOMETRY

• 5.1 Fundamental Identities
• 5.2 Proving Trigonometric Identities
• 5.3 Sum and Difference Identities
• 5.4 Multiple-Angle Identities
• 5.5 The Law of Sines
• 5.6 The Law of Cosines

CHAPTER 6 - APPLICATIONS OF TRIGONOMETRY

• 6.1 Vectors in the Plane
• 6.2 Dot Product of Vectors
• 6.3 Parametric Equations and Motion
• 6.4 Polar Coordinates
• 6.5 Graphs of Polar Equations
• 6.6 De Moivre’s Theorem and nth Roots

CHAPTER 7 - SYSTEMS AND MATRICES

• 7.1 Solving Systems of Two Equations
• 7.2 Matrix Algebra
• 7.3 Multivariate Linear Systems and Row Operations
• 7.4 Systems of Inequalities in Two Variables

CHAPTER 8 - ANALYTIC GEOMETRY IN TWO AND THREE DIMENSIONS

• 8.1 Conic Sections and a New Look at Parabolas
• 8.2 Circles and Ellipses
• 8.3 Hyperbolas
• 8.4 Quadratic Equations with xy Terms 8.5 Polar Equations of Conics 8.6 Three-Dimensional Cartesian Coordinate System

CHAPTER 9 - DISCRETE MATHEMATICS

• 9.1 Basic Combinatorics
• 9.2 Binomial Theorem
• 9.3 Sequences
• 9.4 Series
• 9.5 Mathematical Induction

CHAPTER 10 - STATISTICS AND PROBABILITY

• 10.1 Probability
• 10.2 Statistics (Graphical)
• 10.3 Statistics (Numerical)
• 10.4 Random Variables and Probability Models
• 10.5 Statistical Literacy

CHAPTER 11 - AN INTRODUCTION TO CALCULUS: LIMITS, DERIVATIVES, AND INTEGRALS

• 11.1 Limits and Motion: The Tangent Problem
• 11.2 Limits and Motion: The Area Problem
• 11.3 More on Limits
• 11.4 24 Numerical Derivatives and Integrals

APPENDIX A - ALGEBRA REVIEW

• A.1 Radicals and Rational Exponents
• A.2 Polynomials and Factoring
• A.3 Fractional Expressions

APPENDIX B – LOGIC

• B.1 Logic: An Introduction
• B.2 Conditionals and Biconditionals

APPENDIX C - KEY FORMULAS

• C.1 Formulas from Algebra
• C.2 Formulas from Geometry
• C.3 Formulas from Trigonometry
• C.4 Formulas from Analytic Geometry
• C.5 Gallery of Basic Functions Bibliography Glossary Additional Answers Applications Index Index