Preliminary Contents | |

Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |

Prerequisites | |

Review of Real Numbers and Their Properties | |

Exponents and Radicals | |

Polynomials and Special Products | |

Factoring Polynomials | |

Rational Expressions | |

Errors and the Algebra of Calculus | |

The Rectangular Coordinate System and Graphs | |

Equations, Inequalities, and Mathematical Modeling | |

Graphs of Equations | |

Linear Equations in One Variable | |

Modeling with Linear Equations | |

Quadratic Equations and Applications | |

Complex Numbers | |

Other Types of Equations | |

Linear Inequalities in One Variable | |

Other Types of Inequalities | |

Functions and Their Graphs | |

Linear Equations in Two Variables | |

Functions | |

Analyzing Graphs of Functions | |

A Library of Functions | |

Transformations of Functions | |

Combinations of Functions: Composite Functions | |

Inverse Functions Cumulative Test: Chapters P–2 | |

Polynomial Functions | |

Quadratic Functions and Models | |

Polynomial Functions of Higher Degree | |

Polynomial and Synthetic Division | |

Zeros of Polynomial Functions | |

Mathematical Modeling and Variation | |

Rational Functions and Conics | |

Rational Functions and Asymptotes | |

Graphs of Rational Functions | |

Conics | |

Translations of Conics | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models Cumulative Test: Chapters 3–5 | |

Systems of Equations and Inequalities | |

Linear and Nonlinear Systems of Equations | |

Two-Variable Linear Systems | |

Multivariable Linear Systems | |

Partial Fractions | |

Systems of Inequalities | |

Linear Programming | |

Matrices and Determinants | |

Matrices and Systems of Equations | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants | |

Sequences, Series, and Probability | |

Sequences and Series | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Counting Principles | |

Probability Cumulative Test: Chapters 6–8 | |

Appendix | |

Concepts in Statistics (web) | |

Representing Data | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression Alternative/Expanded Version of Chapter | |

P (Resource CD and Web) | |

Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1) | |

Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2) | |

Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1) | |

Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2) | |

Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3) | |

Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4) | |

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