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This market-leading text continues to provide both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one- or two-term course that prepares students to study calculus, the new Seventh Edition retains the features that have made Precalculus a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

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• Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving
• 1 Functions and Their Graphs
• 1.1 Rectangular Coordinates
• 1.2 Graphs of Equations
• 1.3 Linear Equations in Two Variables
• 1.4 Functions
• 1.5 Analyzing Graphs of Functions
• 1.6 A Library of Parent Functions
• 1.7 Transformations of Functions
• 1.8 Combinations of Functions: Composite Functions
• 1.9 Inverse Functions
• 1.10 Mathematical Modeling and Variation
• 2 Polynomial and Rational Functions
• 2.1 Quadratic Functions and Models
• 2.2 Polynomial Functions of Higher Degree
• 2.3 Polynomial and Synthetic Division
• 2.4 Complex Numbers
• 2.5 Zeros of Polynomial Functions
• 2.6 Rational Functions
• 2.7 Nonlinear Inequalities
• 3 Exponential and Logarithmic Functions
• 3.1 Exponential Functions and Their Graphs
• 3.2 Logarithmic Functions and Their Graphs
• 3.3 Properties of Logarithms
• 3.4 Exponential and Logarithmic Equations
• 3.5 Exponential and Logarithmic Models Cumulative Test: Chapters 1–3
• 4 Trigonometry
• 4.1 Radian and Degree Measure
• 4.2 Trigonometric Functions: The Unit Circle
• 4.3 Right Triangle Trigonometry
• 4.4 Trigonometric Functions of Any Angle
• 4.5 Graphs of Sine and Cosine Functions
• 4.6 Graphs of Other Trigonometric Functions
• 4.7 Inverse Trigonometric Functions
• 4.8 Applications and Models
• 5 Analytic Trigonometry
• 5.1 Using Fundamental Identities
• 5.2 Verifying Trigonometric Identities
• 5.3 Solving Trigonometric Equations
• 5.4 Sum and Difference Formulas
• 5.5 Multiple-Angle and Product-to-Sum Formulas
• 6 Additional Topics in Trigonometery
• 6.1 Law of Sines
• 6.2 Law of Cosines
• 6.3 Vectors in the Plane
• 6.4 Vectors and Dot Products
• 6.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 4–6
• 7 Systems of Equations and Inequalities
• 7.1 Linear and Nonlinear Systems of Equations
• 7.2 Two-Variable Linear Systems
• 7.3 Multivariable Linear Systems
• 7.4 Partial Fractions
• 7.5 Systems of Inequalities
• 7.6 Linear Programming
• 8 Matrices and Determinants
• 8.1 Matrices and Systems of Equations
• 8.2 Operations with Matrices
• 8.3 The Inverse of a Square Matrix
• 8.4 The Determinant of a Square Matrix
• 8.5 Applications of Matrices and Determinants
• 9 Sequences, Series, and Probability
• 9.1 Sequences and Series
• 9.2 Arithmetic Sequences and Partial Sums
• 9.3 Geometric Sequences and Series
• 9.4 Mathematical Induction
• 9.5 The Binomial Theorem
• 9.6 Counting Principles
• 9.7 Probability Cumulative Test: Chapters 7–9
• 10 Topics in Analytic Geometry
• 10.1 Lines
• 10.2 Introduction to Conics: Parabolas
• 10.3 Ellipses
• 10.4 Hyperbolas
• 10.5 Rotation of Conics
• 10.6 Parametric Equations
• 10.7 Polar Coordinates
• 10.8 Graphs of Polar Equations
• 10.9 Polar Equations of Conics
• 11 Analytic Geometry in Three Dimensions
• 11.1 The Three-Dimensional Coordinate System
• 11.2 Vectors in Space
• 11.3 The Cross Product of Two Vectors
• 11.4 Lines and Planes in Space
• 12 Limits and an Introduction to Calculus
• 12.1 Introduction to Limits
• 12.2 Techniques for Evaluating Limits
• 12.3 The Tangent Line Problem
• 12.4 Limits at Infinity and Limits of Sequences
• 12.5 The Area Problem Cumulative Test: Chapters 10–12
• Appendix
• A Review of Fundamental Concepts of Algebra
• A.1 Real Numbers and Their Properties
• A.2 Exponents and Radicals
• A.3 Polynomials and Factoring
• A.4 Rational Expressions
• A.5 Solving Equations
• A.6 Linear Inequalities in One Variable
• A.7 Errors and the Algebra of Calculus
• Appendix
• B Concepts in Statistics (web)
• B.1 Representing Data
• B.2 Measures of Central Tendency and Dispersion
• B.3 Least Squares Regression