Algebra and Trigonometry, 4th Edition

Contents
Preface
To the Student
Are You Ready for This Course?
Prologue: Principles of Problem Solving
Ch P: Prerequisites
	Section P.1: Modeling the Real World with Algebra
	Section P.2: Real Numbers
	Section P.3: Integer Exponents and Scientific Notation
	Section P.4: Rational Exponents and Radicals
	Section P.5: Algebraic Expressions
	Section P.6: Factoring
	Section P.7: Rational Expressions
	Section P.8: Solving Basic Equations
	Section P.9: Modeling with Equations
	Chapter P Review
	Chapter P Test
	Focus on Modeling: Making the Best Decisions
Ch 1: Equations and Graphs
	Section 1.1: The Coordinate Plane
	Section 1.2: Graphs of Equations in Two Variables; Circles
	Section 1.3: Lines
	Section 1.4: Solving Quadratic Equations
	Section 1.5: Complex Numbers
	Section 1.6: Solving Other Types of Equations
	Section 1.7: Solving Inequalities
	Section 1.8: Solving Absolute Value Equations and Inequalities
	Section 1.9: Solving Equations and Inequalities Graphically
	Section 1.10: Modeling Variation
	Chapter 1 Review
	Chapter 1 Test
	Focus on Modeling: Fitting Lines to Data
Ch 2: Functions
	Section 2.1: Functions
	Section 2.2: Graphs of Functions
	Section 2.3: Getting Information from the Graph of a Function
	Section 2.4: Average Rate of Change of a Function
	Section 2.5: Linear Functions and Models
	Section 2.6: Transformations of Functions
	Section 2.7: Combining Functions
	Section 2.8: One-to-One Functions and Their Inverses
	Chapter 2 Review
	Chapter 2 Test
	Focus on Modeling: Modeling with Functions
Ch 3: Polynomial and Rational Functions
	Section 3.1: Quadratic Functions and Models
	Section 3.2: Polynomial Functions and Their Graphs
	Section 3.3: Dividing Polynomials
	Section 3.4: Real Zeros of Polynomials
	Section 3.5: Complex Zeros and the Fundamental Theorem of Algebra
	Section 3.6: Rational Functions
	Section 3.7: Polynomial and Rational Inequalities
	Chapter 3 Review
	Chapter 3 Test
	Focus on Modeling: Fitting Polynomial Curves to Data
Ch 4: Exponential and Logarithmic Functions
	Section 4.1: Exponential Functions
	Section 4.2: The Natural Exponential Function
	Section 4.3: Logarithmic Functions
	Section 4.4: Laws of Logarithms
	Section 4.5: Exponential and Logarithmic Equations
	Section 4.6: Modeling with Exponential Functions
	Section 4.7: Logarithmic Scales
	Chapter 4 Review
	Chapter 4 Test
	Focus on Modeling: Fitting Exponential and Power Curves to Data
Ch 5: Trigonometric Functions: Right Triangle Approach
	Section 5.1: Angle Measure
	Section 5.2: Trigonometry of Right Triangles
	Section 5.3: Trigonometric Functions of Angles
	Section 5.4: Inverse Trigonometric Functions and Right Triangles
	Section 5.5: The Law of Sines
	Section 5.6: The Law of Cosines
	Chapter 5 Review
	Chapter 5 Test
	Focus on Modeling: Surveying
Ch 6: Trigonometric Functions: Unit Circle Approach
	Section 6.1: The Unit Circle
	Section 6.2: Trigonometric Functions of Real Numbers
	Section 6.3: Trigonometric Graphs
	Section 6.4: More Trigonometric Graphs
	Section 6.5: Inverse Trigonometric Functions and Their Graphs
	Section 6.6: Modeling Harmonic Motion
	Chapter 6 Review
	Chapter 6 Test
	Focus on Modeling: Fitting Sinusoidal Curves to Data
Ch 7: Analytic Trigonometry
	Section 7.1: Trigonometric Identities
	Section 7.2: Addition and Subtraction Formulas
	Section 7.3: Double-Angle, Half-Angle, and Product-Sum Formulas
	Section 7.4: Basic Trigonometric Equations
	Section 7.5: More Trigonometric Equations
	Chapter 7 Review
	Chapter 7 Test
	Focus on Modeling: Traveling and Standing Waves
Ch 8: Polar Coordinates and Parametric Equations
	Chapter Overview
	Section 8.1: Polar Coordinates
	Section 8.2: Graphs of Polar Equations
	Section 8.3: Polar Form of Complex Numbers; De Moivre's Theorem
	Section 8.4: Plane Curves and Parametric Equations
	Chapter 8 Review
	Chapter 8 Test
	Focus on Modeling: The Path of a Projectile
Ch 9: Vectors in Two and Three Dimensions
	Section 9.1: Vectors in Two Dimensions
	Section 9.2: The Dot Product
	Section 9.3: Three-Dimensional Coordinate Geometry
	Section 9.4: Vectors in Three Dimensions
	Section 9.5: The Cross Product
	Section 9.6: Equations of Lines and Planes
	Chapter 9 Review
	Chapter 9 Test
	Focus on Modeling: Vector Fields
Ch 10: Systems of Equations and Inequalities
	Chapter Overview
	Section 10.1: Systems of Linear Equations in Two Variables
	Section 10.2: Systems of Linear Equations in Several Variables
	Section 10.3: Partial Fractions
	Section 10.4: Systems of Nonlinear Equations
	Section 10.5: Systems of Inequalities
	Chapter 10 Review
	Chapter 10 Test
	Focus on Modeling: Linear Programming
Ch 11: Matrices and Determinants
	Section 11.1: Matrices and Systems of Linear Equations
	Section 11.2: The Algebra of Matrices
	Section 11.3: Inverses of Matrices and Matrix Equations
	Section 11.4: Determinants and Cramer's Rule
	Chapter 11 Review
	Chapter 11 Test
	Focus on Modeling: Computer Graphics
Ch 12: Conic Sections
	Section 12.1: Parabolas
	Section 12.2: Ellipses
	Section 12.3: Hyperbolas
	Section 12.4: Shifted Conics
	Section 12.5: Rotation of Axes
	Section 12.6: Polar Equations of Conics
	Chapter 12 Review
	Chapter 12 Test
	Focus on Modeling: Conics in Architecture
Ch 13: Sequences and Series
	Section 13.1: Sequences and Summation Notation
	Section 13.2: Arithmetic Sequences
	Section 13.3: Geometric Sequences
	Section 13.4: Mathematics of Finance
	Section 13.5: Mathematical Induction
	Section 13.6: The Binomial Theorem
	Chapter 13 Review
	Chapter 13 Test
	Focus on Modeling: Modeling with Recursive Sequences
Ch 14: Counting and Probability
	Section 14.1: Counting
	Section 14.2: Probability
	Section 14.3: Binomial Probability
	Section 14.4: Expected Value
	Chapter 14 Review
	Chapter 14 Test
	Focus on Modeling: The Monte Carlo Method
Appendix A: Geometry Review
Appendix B: Calculations and Significant Figures
Appendix C: Graphing with a Graphing Calculator
Appendix D: Using the TI-83/84 Graphing Calculator
Answers
Index