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| Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test | |
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| Prerequisites | |
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| Real Numbers | |
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| Exponents and Radicals | |
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| Polynomials and Factoring | |
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| Rational Expressions | |
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| The Cartesian Plane | |
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| Exploring Data: Representing Data Graphically | |
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| Functions and Their Graphs Introduction to Library of Functions | |
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| Graphs of Equations | |
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| Lines in the Plane | |
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| Functions | |
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| Graphs of Functions | |
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| Shifting, Reflecting, and Stretching Graphs | |
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| Combinations of Functions | |
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| Inverse Functions | |
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| Solving Equations and Inequalities | |
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| Linear Equations and Problem Solving | |
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| Solving Equations Graphically | |
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| Complex Numbers | |
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| Solving Equations Algebraically | |
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| Solving Inequalities Algebraically and Graphically | |
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| Exploring Data: Linear Models and Scatter Plots Cumulative Test: Chapters P2 | |
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| Polynomial and Rational Functions | |
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| Quadratic Functions | |
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| Polynomial Functions of Higher Degree | |
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| Real Zeros of Polynomial Functions | |
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| The Fundamental Theorem of Algebra | |
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| Rational Functions and Asymptotes | |
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| Graphs of Rational Functions | |
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| Exploring Data: Quadratic Models | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions and Their Graphs | |
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| Logarithmic Functions and Their Graphs | |
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| Properties of Logarithms | |
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| Solving Exponential and Logarithmic Equations | |
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| Exponential and Logarithmic Models | |
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| Exploring Data: Nonlinear Models Cumulative Test: Chapters 34 | |
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| Trigonometric Functions | |
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| Angles and Their Measure | |
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| Right Triangle Trigonometry | |
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| Trigonometric Functions of Any Angle | |
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| Graphs of Sine and Cosine Functions | |
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| Graphs of Other Trigonometric Functions | |
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| Inverse Trigonometric Functions | |
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| Applications and Models | |
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| Analytic Trigonometry | |
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| Using Fundamental Identities | |
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| Verifying Trigonometric Identities | |
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| Solving Trigonometric Equations | |
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| Sum and Difference Formulas | |
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| Multiple-Angle and Product-to-Sum Formulas | |
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| Additional Topics in Trigonometry | |
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| Law of Sines | |
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| Law of Cosines | |
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| Vectors in the Plane | |
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| Vectors and Dot Products | |
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| Trigonometric Form of a Complex Number Cumulative Test: Chapters 57 | |
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| Linear Systems and Matrices | |
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| Solving Systems of Equations | |
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| Systems of Linear Equations in Two Variables | |
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| Multivariable Linear Systems | |
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| Matrices and Systems of Equations | |
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| Operations with Matrices | |
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| The Inverse of a Square Matrix | |
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| The Determinant of a Square Matrix | |
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| Applications of Matrices and Determinants | |
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| Sequences, Series, and Probability | |
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| Sequences and Series | |
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| Arithmetic Sequences and Partial Sums | |
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| Geometric Sequences and Series | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Counting Principles | |
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| Probability | |
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| Topics in Analytic Geometry | |
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| Conics | |
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| Translations of Conics | |
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| Parametric Equations | |
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| Polar Coordinates | |
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| Graphs of Polar Equations | |
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| Polar Equations of Conics Cumulative Test: Chapters 810 | |
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| Technology Support Guide | |
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| Proofs of Selected Theorems | |
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| Concepts in Statistics | |
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| Measures of Central Tendency and Dispersion | |
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| Least Squares Regression | |
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| Solving Linear Equations and Inequalities | |
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| Systems of Inequalities | |
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| Solving Systems of Inequalities | |
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| Linear Programming | |