Fundamentals | |

Sets of Real Numbers | |

Absolute Value | |

Solving Equations (Review and Preview) | |

Rectangular Coordinates | |

Visualizing Data | |

Graphs and Graphing Utilities | |

Equations of Lines | |

Symmetry and Graphs | |

Circles | |

Equations And Inequalities | |

Quadratic Equations: Theory and Examples | |

Other Types of Equations | |

Inequalities | |

More on Inequalities | |

Functions | |

The Definition of a Function | |

The Graph of a Function | |

Shapes of Graphs | |

Average Rate of Change | |

Techniques in Graphing | |

Methods of Combining Functions | |

Iteration | |

Inverse Functions | |

Polynomial And Rational Functions: Applications To Optimization | |

Linear Functions | |

Quadratic Functions | |

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

Setting Up Equations That Devine Functions | |

Maximum and Minimum Problems | |

Polynomial Functions | |

Rational Functions | |

Exponential And Logarithmic Functions | |

Exponential Functions | |

The Exponential Function y = ex | |

Logarithmic Functions | |

Properties of Logarithms | |

Equations and Inequalities with Logs and Exponents | |

Compound IntereSt. Exponential Growth and Decay | |

An Introduction To Trigonometry Via Right Triangles | |

Trigonometric Functions of Acute Angles | |

Right-Triangle Applications | |

Trigonometric Functions of Angles | |

Trigonometric Identities | |

The Trigonometric Functions | |

Radian Measure | |

Trigonometric Functions of Angles | |

Evaluating the Trigonometric Functions | |

Algebra and the Trigonometric Functions | |

Right-Triangle Trigonometry | |

Graphs Of Trigonometric Functions | |

Trigonometric Functions of Real Numbers | |

Graphs of the Sine and Cosine Functions | |

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

Simple Harmonic Motion | |

Graphs of the Tangent and the Reciprocal Functions | |

Analytical Trigonometry | |

The Addition Formulas | |

The Double-Angle Formulas | |

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

Trigonometric Equations | |

The Inverse Trigonometric Functions | |

Additional Topics In Trigonometry | |

Right-Triangle Applications | |

The Law of Sines and the Law of Cosines | |

Vectors in the Plane: A Geometric Approach | |

Vectors in the Plane: An Algebraic Approach | |

Parametric Equations | |

Introduction to Polar Coordinates | |

Curves in Polar Coordinates | |

DeMoivre's Theorem | |

Systems Of Equations | |

Systems of Two Linear Equations in Two Unknowns | |

Gaussian Elimination | |

Matrices | |

The Inverse of a Square Matrix | |

Determinants and Cramer's Rule | |

Nonlinear Systems of Equations | |

Systems of Inequalities | |

The Conic Sections | |

The Basic Equations | |

The Parabola | |

Tangents to Parabolas (Optional Section) | |

The Ellipse | |

The Hyperbola | |

The Focus-Directrix Property of Conics | |

The Conics in Polar Coordinates | |

Rotation of Axes | |

Roots Of Polynomial Equations | |

Division of Polynomials | |

The Remainder Theorem and the Factor Theorem | |

The Fundamental Theorem of Algebra | |

Rational and Irrational Roots | |

Conjugate Roots and Descartes's Rule of Signs | |

Introduction to Partial Fractions | |

More About Partial Fractions | |

Additional Topics In Algebra | |

Mathematical Induction | |

The Binomial Theorem | |

Introduction to Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

Introduction to Limits | |

Significant Digits | |

v2 is Irrational | |

The Complex Number System | |

Answers | |

Index | |

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