Fundamentals | |

Real Numbers | |

Exponents and Radicals | |

Algebraic Expressions | |

Fractional Expressions | |

Equations | |

Modeling with Equations | |

Inequalities | |

Coordinate Geometry | |

Solving Equations and Inequalities Graphically | |

Lines | |

Functions | |

What is a Function? Graphs of Functions | |

Applied Functions: Variation | |

Average Rate of Change: Increasing and Decreasing Functions | |

Transformations of Functions | |

Extreme Values of Functions | |

Modeling with Functions | |

Combining Functions | |

One-to-One Functions and Their Inverses | |

Polynomial and Rational Functions | |

Polynomial Functions and Their Graphs | |

Dividing Polynomials | |

Real Zeros of Polynomials | |

Complex Numbers | |

Complex Zeros and the Fundamental Theorem of Algebra | |

Rational Functions | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Laws of Logarithms | |

Exponential and Logarithmic Equations | |

Modeling with Exponential and Logarithmic Functions | |

Trigonometric Functions of Real Numbers | |

The Unit Circle | |

Trigonometric Functions of Real Numbers | |

Trigonometric Graphs | |

More Trigonometric Graphs | |

Trigonometric Functions of Angles | |

Angle Measure | |

Trigonometry of Right Triangles | |

Trigonometric Functions of Angles | |

The Law of Sines | |

The Law of Cosines | |

Analytic Trigonometry | |

Trigonometric Identities | |

Addition and Subtraction Formulas | |

Double-Angle, Half-Angle, and Product-Sum Formulas | |

Inverse Trigonometric Functions | |

Trigonometric Equations | |

Trigonometric Form of Complex Numbers; DeMoivre's Theorem | |

Vectors | |

The Dot Product | |

Systems of Equations and Inequalities | |

Systems of Equations | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Several Variables | |

Systems of Linear Equations: Matrices | |

The Algebra of Matrices | |

Inverses of Matrices and Matrix Equations | |

Determinants and Cramer?s Rule | |

Systems of Inequalities | |

Partial Fractions | |

Topics in Analytic Geometry | |

Parabolas | |

Ellipes | |

Hyperbolas | |

Shifted Conics | |

Rotation of Axes | |

Polar Coordinates | |

Polar Equations of Conics | |

Parametric Equations | |

Sequences and Series | |

Sequences and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences | |

Annuities and Installment Buying | |

Mathematical Induction | |

The Binomial Theorem | |

Counting and Probability | |

Counting Principles..Permutations and Combinations | |

Probability | |

Expected Value | |

Limits: A Preview of Calculus | |

Finding Limits Numerically and Graphically | |

Finding Limits Algebraically | |

Tangent Lines and Derivatives | |

Limits at Infinity; Limits of Sequences | |

Areas | |

Answers to Odd-Numbered Exercises and Chapter Tests | |

Index | |

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