Basic Concepts of Algebra | |

The Real Numbers and their properties | |

Integer Exponents and Scientific Notation | |

Polynomials | |

Factoring Polynomials | |

Rational Expressions | |

Rational Exponents and Radicals | |

Topics in Geometry Chapter Summary Review Exercises Chapter Tests | |

Equations and Inequalities | |

Linear Equations in One Variable | |

Applications with Linear Equations | |

Complex Numbers | |

Quadratic Equations | |

Solving Other Types of Equations | |

Linear Inequalities | |

Polynomial and Rational Inequalities | |

Equations and Inequalities involving Absolute Value Chapter Summary Review Exercises Chapter Tests | |

Graphs and Functions | |

The Coordinate Plane | |

Graphs of Equations | |

Lines | |

Relations and Functions | |

A Library of Functions | |

Transformations of Functions | |

Combining Functions; Composite Functions | |

Inverse Functions Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Polynomial and Rational Functions | |

Quadratic Functions | |

Polynomial Functions | |

Dividing Polynomials and Rational Zeros Test | |

Zeros of Polynomial Functions | |

Rational Functions | |

Variation Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

The Natural Exponential Function | |

Logarithmic Functions 44 Rules of Logarithms | |

Exponential and Logarithmic Equations Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Trigonometric Functions | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Trigonometric Functions of General Angles | |

Graphs of the Sine and Cosine Functions | |

Graphs of the Other Trigonometric Functions | |

Inverse Trigonometric Functions Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Analytic Trigonometry | |

Fundamental Trigonometric Identities | |

Verifying Trigonometric Identities | |

Trigonometric Equations | |

Sum and Difference Formulas | |

Double-Angle and Half-Angle Formulas | |

Product-to-Sum and Sum-to-Product Formulas Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Applications of Trigonometric Functions | |

Law of Sines | |

Law of Cosines | |

Vectors and Dot Products | |

Power Equations and Graphs | |

Trigonometric Form of Complex Numbers | |

Parametric Equations Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Systems of Equations and Inequalities | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Three Variables | |

Partial Fraction Decomposition | |

Systems of Linear Inequalities; Linear Programming | |

Nonlinear Systems of Equations and Inequalities Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |

Matrices and Determinants | |

Matrices and Systems of Equations | |

Matrix Algebra | |

The Matrix Inverse | |

Determinants and Cramers Rule Chapter Summary Review Exercises | |

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