Fundamental Concepts of Algebra | |

Real Numbers | |

Exponents and Radicals | |

Algebraic Expressions | |

Fractional Expressions | |

Chapter 1 Review Exercises | |

Chapter 1 Discussion Exercises | |

Equations and Inequalities | |

Equations | |

Applied Problems | |

Quadratic Equations | |

Complex Numbers | |

Other Types of Equations | |

Inequalities | |

More on Inequalities | |

Chapter 2 Review Exercises | |

Chapter 2 Discussion Exercises | |

Functions and Graphs | |

Rectangular Coordinate Systems | |

Graphs of Equations | |

Lines | |

Definition of Function | |

Graphs of Functions | |

Quadratic Functions | |

Operations on Functions | |

Chapter 3 Review Exercises | |

Chapter 3 Discussion Exercises | |

Polynomial and Rational Functions | |

Polynomial Functions of Degree Greater than 2 | |

Properties of Division | |

Zeros of Polynomials | |

Complex and Rational Zeros of Polynomials | |

Rational Functions | |

Variation | |

Chapter 4 Review Exercises | |

Chapter 4 Discussion Exercises | |

Inverse, Exponential, and Logarithmic Functions | |

Inverse Functions | |

Exponential Functions | |

The Natural Exponential Function | |

Logarithmic Functions | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Chapter 5 Review Exercises | |

Chapter 5 Discussion Exercises | |

The Trigonometric Functions | |

Angles | |

Trigonometric Functions of Angles | |

Trigonometric Functions of Real Numbers | |

Values of Trigonometric Functions | |

Trigonometric Graphs | |

Additional Trigonometric Graphs | |

Applied Problems | |

Chapter 6 Review Exercises | |

Chapter 6 Discussion Exercises | |

Analytic Trigonometry | |

Verifying Trigonometric Identities | |

Trigonometric Equations | |

The Addition and Subtraction Formulas | |

Multiple-Angle Formulas | |

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

The Inverse Trigonometric Functions | |

Chapter 7 Review Exercises | |

Chapter 7 Discussion Exercises | |

Applications of Trigonometry | |

The Law of Sines | |

The Law of Cosines | |

Trigonometric Form for Complex Numbers | |

De Moivre's Theorem and nth Roots of Complex Numbers | |

Vectors | |

The Dot Product | |

Chapter 8 Review Exercises | |

Chapter 8 Discussion Exercises | |

Systems of Equations and Inequalities | |

Systems of Equations | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in More than Two Variables | |

Partial Fractions | |

Systems of Inequalities | |

Linear Programming | |

The Algebra of Matrices | |

The Inverse of a Matrix | |

Determinants | |

Properties of Determinants | |

Chapter 9 Review Exercises | |

Chapter 9 Discussion Exercises | |

Sequences, Series, and Probability | |

Infinite Sequences and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences | |

Mathematical Induction | |

The Binomial Theorem | |

Permutations | |

Distinguishable Permutations and Combinations | |

Probability | |

Chapter 10 Review Exercises | |

Chapter 10 Discussion Exercises | |

Topics from Analytic Geometry | |

Parabolas | |

Ellipses | |

Hyperbolas | |

Plane Curves and Parametric Equations | |

Polar Coordinates | |

Polar Equations of Conics | |

Chapter 11 Review Exercises | |

Chapter 11 Discussion Exercises | |

Appendices | |

Answers to Selected Exercises | |

Index of Applications | |

Index | |

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