# Alignment: Precalculus • Sullivan • Tenth Edition

Use Nagwa in conjunction with your preferred textbook. The recommended lessons from Nagwa for each section of this textbook are provided below. This alignment is not affiliated with, sponsored by, or endorsed by the publisher of the referenced textbook. Nagwa is a registered trademark of Nagwa Limited. All other trademarks and registered trademarks are the property of their respective owners.

• Three Distinct Series
• The Contemporary Series
• Preface to the Instructor
• Resources for Success
• Applications Index
• 1 Graphs
• 1.1 The Distance and Midpoint Formulas
• 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
• 1.3 Lines
• 1.4 Circles
• Chapter Review
• Chapter Test
• Chapter Projects
• 2 Functions and Their Graphs
• 2.1 Functions
• 2.2 The Graph of a Function
• 2.3 Properties of Functions
• 2.4 Library of Functions: Piecewise-Defined Functions
• 2.5 Graphing Techniques: Transformations
• 2.6 Mathematical Models: Building Functions
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 3 Linear and Quadratic Functions
• 3.1 Properties of Linear Functions and Linear Models
• 3.2 Building Linear Models from Data
• 3.3 Quadratic Functions and Their Properties
• 3.4 Build Quadratic Models from Verbal Descriptions and from Data
• 3.5 Inequalities Involving Quadratic Functions
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 4 Polynomial and Rational Functions
• 4.1 Polynomial Functions and Models
• 4.2 Properties of Rational Functions
• 4.3 The Graph of a Rational Function
• 4.4 Polynomial and Rational Inequalities
• 4.5 The Real Zeros of a Polynomial Function
• 4.6 Complex Zeros: Fundamental Theorem of Algebra
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 5 Exponential and Logarithmic Functions
• 5.1 Composite Functions
• 5.2 One-to-One Functions; Inverse Functions
• 5.3 Exponential Functions
• 5.4 Logarithmic Functions
• 5.5 Properties of Logarithms
• 5.6 Logarithmic and Exponential Equations
• 5.7 Financial Models
• 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
• 5.9 Building Exponential, Logarithmic, and Logistic Models from Data
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 6 Trigonometric Functions
• 6.1 Angles and Their Measure
• 6.2 Trigonometric Functions: Unit Circle Approach
• 6.3 Properties of the Trigonometric Functions
• 6.4 Graphs of the Sine and Cosine Functions
• 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
• 6.6 Phase Shift; Sinusoidal Curve Fitting
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 7 Analytic Trigonometry
• 7.1 The Inverse Sine, Cosine, and Tangent Functions
• 7.2 The Inverse Trigonometric Functions (Continued)
• 7.3 Trigonometric Equations
• 7.4 Trigonometric Identities
• 7.5 Sum and Difference Formulas
• 7.6 Double-Angle and Half-Angle Formulas
• 7.7 Product-to-Sum and Sum-to-Product Formulas
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 8 Applications of Trigonometric Functions
• 8.1 Right Triangle Trigonometry; Applications
• 8.2 The Law of Sines
• 8.3 The Law of Cosines
• 8.4 Area of a Triangle
• 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 9 Polar Coordinates; Vectors
• 9.1 Polar Coordinates
• 9.2 Polar Equations and Graphs
• 9.3 The Complex Plane; De Moivre’s Theorem
• 9.4 Vectors
• 9.5 The Dot Product
• 9.6 Vectors in Space
• 9.7 The Cross Product
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 10 Analytic Geometry
• 10.1 Conics
• 10.2 The Parabola
• 10.3 The Ellipse
• 10.4 The Hyperbola
• 10.5 Rotation of Axes; General Form of a Conic
• 10.6 Polar Equations of Conics
• 10.7 Plane Curves and Parametric Equations
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 11 Systems of Equations and Inequalities
• 11.1 Systems of Linear Equations: Substitution and Elimination
• 11.2 Systems of Linear Equations: Matrices
• 11.3 Systems of Linear Equations: Determinants
• 11.4 Matrix Algebra
• 11.5 Partial Fraction Decomposition
• 11.6 Systems of Nonlinear Equations
• 11.7 Systems of Inequalities
• 11.8 Linear Programming
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 12 Sequences; Induction; the Binomial Theorem
• 12.1 Sequences
• 12.2 Arithmetic Sequences
• 12.3 Geometric Sequences; Geometric Series
• 12.4 Mathematical Induction
• 12.5 The Binomial Theorem
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 13 Counting and Probability
• 13.1 Counting
• 13.2 Permutations and Combinations
• 13.3 Probability
• Chapter Review
• Chapter Test
• Cumulative Review
• Chapter Projects
• 14 A Preview of Calculus: The Limit, Derivative, and Integral of a Function
• 14.1 Finding Limits Using Tables and Graphs
• 14.2 Algebra Techniques for Finding Limits
• 14.3 One-Sided Limits; Continuous Functions
• 14.4 The Tangent Problem; The Derivative
• 14.5 The Area Problem; The Integral
• Chapter Review
• Chapter Test
• Chapter Projects
• Appendix A Review
• A.1 Algebra Essentials
• A.2 Geometry Essentials
• A.3 Polynomials
• A.4 Synthetic Division
• A.5 Rational Expressions
• A.6 Solving Equations
• A.7 Complex Numbers; Quadratic Equations in the Complex Number System
• A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
• A.9 Interval Notation; Solving Inequalities
• A.10 𝑛th Roots; Rational Exponents
• Appendix B Graphing Utilities
• B.1 The Viewing Rectangle
• B.2 Using a Graphing Utility to Graph Equations
• B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
• B.4 Using a Graphing Utility to Solve Equations
• B.5 Square Screens
• B.6 Using a Graphing Utility to Graph Inequalities
• B.7 Using a Graphing Utility to Solve Systems of Linear Equations
• B.8 Using a Graphing Utility to Graph a Polar Equation
• B.9 Using a Graphing Utility to Graph Parametric Equations