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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 | |
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| Functions and Their Graphs | |
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| Rectangular Coordinates Graphs of Equations | |
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| Linear Equations in Two Variables Functions | |
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| Analyzing Graphs of Functions | |
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| A Library of Parent Functions | |
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| Transformations of Functions | |
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| Combinations of Functions: Composite Functions | |
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| Inverse Functions | |
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| Mathematical Modeling and Variation | |
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| Polynomial and Rational Functions | |
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| Quadratic Functions and Models Polynomial Functions of Higher Degree | |
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| Polynomial and Synthetic Division | |
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| Complex Numbers | |
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| Zeros of Polynomial Functions | |
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| Rational Functions | |
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| Nonlinear Inequalities | |
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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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| Exponential and Logarithmic Equations | |
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| Exponential and Logarithmic Models | |
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| Cumulative Test: Chapters 13 | |
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| Trigonometry Radian and Degree | |
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| Measure Trigonometric Functions: The Unit Circle | |
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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 Using Fundamental | |
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| Identities Verifying Trigonometric | |
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| Identities Solving Trigonometric Equations | |
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| Sum and Difference Formulas | |
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| MultipleAngle and ProducttoSum Formulas | |
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| Law of Sines | |
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| Law of Cosines | |
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| Topics in Analytic Geometry | |
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| Lines Introduction to Conics: Parabolas Ellipses | |
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| Hyperbolas Parametric Equations | |
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| Polar Coordinates | |
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| Graphs of Polar Equations | |
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| Polar Equations of Conics | |
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| Cumulative Test: Chapters 46 | |
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| A Review of Fundamental Concepts of Algebra (web) | |
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| Real Numbers and Their Properties Exponents and Radicals Polynomials and Factoring Rational Expressions Solving Equations | |
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| Solving Inequalities Errors and the Algebra of Calculus | |
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| Concepts in Statistics (web) | |
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| Representing Data Measures of Central Tendency and Dispersion Least Squares Regression | |