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Fundamentals | |

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Sets of Real Numbers | |

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Absolute Value | |

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Solving Equations (Review and Preview) | |

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Rectangular Coordinates | |

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Visualizing Data | |

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Graphs and Graphing Utilities | |

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Equations of Lines | |

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Symmetry and Graphs | |

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Circles | |

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Equations And Inequalities | |

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Quadratic Equations: Theory and Examples | |

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Other Types of Equations | |

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Inequalities | |

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More on Inequalities | |

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Functions | |

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The Definition of a Function | |

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The Graph of a Function | |

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Shapes of Graphs | |

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Average Rate of Change | |

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Techniques in Graphing | |

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Methods of Combining Functions | |

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Iteration | |

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Inverse Functions | |

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Polynomial And Rational Functions: Applications To Optimization | |

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Linear Functions | |

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Quadratic Functions | |

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Using Iteration to Model Populations Growth (Optional Section) | |

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Setting Up Equations That Devine Functions | |

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Maximum and Minimum Problems | |

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Polynomial Functions | |

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Rational Functions | |

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Exponential And Logarithmic Functions | |

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Exponential Functions | |

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The Exponential Function y = ex | |

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Logarithmic Functions | |

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Properties of Logarithms | |

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Equations and Inequalities with Logs and Exponents | |

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Compound IntereSt. Exponential Growth and Decay | |

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An Introduction To Trigonometry Via Right Triangles | |

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Trigonometric Functions of Acute Angles | |

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Right-Triangle Applications | |

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Trigonometric Functions of Angles | |

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Trigonometric Identities | |

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The Trigonometric Functions | |

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Radian Measure | |

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Trigonometric Functions of Angles | |

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Evaluating the Trigonometric Functions | |

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Algebra and the Trigonometric Functions | |

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Right-Triangle Trigonometry | |

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Graphs Of Trigonometric Functions | |

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Trigonometric Functions of Real Numbers | |

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Graphs of the Sine and Cosine Functions | |

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Graphs of y = A sin(Bx-C) and y = A cos(Bx-C) | |

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Simple Harmonic Motion | |

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Graphs of the Tangent and the Reciprocal Functions | |

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Analytical Trigonometry | |

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The Addition Formulas | |

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The Double-Angle Formulas | |

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The Product-to-Sum and Sum-to-Product Formulas | |

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Trigonometric Equations | |

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The Inverse Trigonometric Functions | |

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Additional Topics In Trigonometry | |

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Right-Triangle Applications | |

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The Law of Sines and the Law of Cosines | |

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Vectors in the Plane: A Geometric Approach | |

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Vectors in the Plane: An Algebraic Approach | |

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Parametric Equations | |

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Introduction to Polar Coordinates | |

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Curves in Polar Coordinates | |

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DeMoivre's Theorem | |

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Systems Of Equations | |

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Systems of Two Linear Equations in Two Unknowns | |

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Gaussian Elimination | |

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Matrices | |

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The Inverse of a Square Matrix | |

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Determinants and Cramer's Rule | |

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Nonlinear Systems of Equations | |

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Systems of Inequalities | |

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The Conic Sections | |

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The Basic Equations | |

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The Parabola | |

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Tangents to Parabolas (Optional Section) | |

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The Ellipse | |

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The Hyperbola | |

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The Focus-Directrix Property of Conics | |

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The Conics in Polar Coordinates | |

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Rotation of Axes | |

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Roots Of Polynomial Equations | |

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Division of Polynomials | |

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The Remainder Theorem and the Factor Theorem | |

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The Fundamental Theorem of Algebra | |

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Rational and Irrational Roots | |

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Conjugate Roots and Descartes's Rule of Signs | |

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Introduction to Partial Fractions | |

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More About Partial Fractions | |

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Additional Topics In Algebra | |

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Mathematical Induction | |

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The Binomial Theorem | |

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Introduction to Sequences and Series | |

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Arithmetic Sequences and Series | |

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Geometric Sequences and Series | |

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Introduction to Limits | |

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Significant Digits | |

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v2 is Irrational | |

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The Complex Number System | |

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Answers | |

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Index | |