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Pearson Precalculus Graphical Numerical Algebraic, 2006
Chapter P
Prerequisites
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Real Numbers
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Cartesian Coordinate System
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Linear Equations and Inequalities
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Lines in the Plane
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Solving Equations Graphically, Numerically, and Algebraically
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Complex Numbers
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Solving Inequalities Algebraically and Graphically
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Review Exercises
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Chapter 1
Functions and Graphs
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Modeling and Equation Solving
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Function and Their Properties
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Twelve Basic Functions
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Building Functions from Functions
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Parametric Relations and Inverses
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Graphical Transformations
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Modeling with Functions
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Review Exercises
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Project
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Chapter 2
Polynomial, Power, and Rational Functions
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Linear and Quadratic Functions and Modeling
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Power Functions with Modeling
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Polynomial Functions of Higher Degree with Modeling
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Real Zeros of Polynomial Functions
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Complex Zeros and the Fundamental Theorem of Algebra
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Graphs of Rational Functions
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Solving Equations in One Variable
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Solving Inequalities in One Variable
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Review Exercises
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Project
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Chapter 3
Exponential, Logistic, and Logarithmic Functions
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Exponential and Logistic Functions
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Exponential and Logistic Modeling
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Logarithmic Functions and Their Graphs
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Properties of Logarithmic Functions
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Equation Solving and Modeling
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Mathematics of Finance
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Review Exercises
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Project
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Chapter 4
Trigonometric Functions
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Angles and Their Measures
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Trigonometric Functions of Acute Angles
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Trigonometry Extended: The Circular Functions
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Graphs of Sine and Cosine: Sinusoids
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Graphs of Tangent, Cotangent, Secant, and Cosecant
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Graphs of Composite Trigonometric Functions
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Inverse Trigonometric Functions
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Solving Problems with Trigonometry
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Review Exercises
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Project
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Chapter 5
Analytic Trigonometry
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Fundamental Identities
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Proving Trigonometric Identities
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Sum and Difference Identities
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Multiple-Angle Identities
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The Law of Sines
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The Law of Cosines
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Review Exercises
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Project
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Chapter 6
Applications of Trigonometry
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Vectors in the Plane
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Dot Product of Vectors
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Parametric Equations and Motion
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Polar Coordinates
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Graphs of Polar Equations
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De Moivre's Theorem and nth Roots
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Review Exercises
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Project
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Chapter 7
Systems and Matrices
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Solving Systems of Two Equations
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Matrix Algebra
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Multivariate Linear Systems and Row Operations
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Partial Fractions
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Systems of Inequalities in Two Variables
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Review Exercises
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Project
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Chapter 8
Analytic Geometry in Two and Three Dimensions
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Conic Sections and Parabolas
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Ellipses
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Hyperbolas
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Translation and Rotation of Axes
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Polar Equations of Conics
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Three-Dimensional Cartesian Coordinate System
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Review Exercises
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Project
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Chapter 9
Discrete Mathematics
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Basic Combinatorics
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The Binomial Theorem
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Probability
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Sequences
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Series
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Mathematical Induction
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Statistics and Data(Graphical)
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Statistics and Data(Algebraic)
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Review Exercises
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Project
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Chapter 10
An Introduction to Calculus: Limits, Derivatives, and Integrals
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Limits and Motion: The Tangent Problem
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Limits and Motion: The Area Problem
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More on Limits
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Numerical Derivatives and Integrals
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Review Exercises
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Project
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Chapter A
Appendix A
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Radicals and Rational Exponents
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Polynomials and Factoring
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Fractional Expressions
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Chapter C
Appendix C
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Logic: An Introduction
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Conditionals and Biconditionals
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