Basic Algebraic Operations | |

Numbers | |

Fundamental Operations of Algebra | |

Calculators and Approximate Numbers | |

Exponents | |

Scientific Notation | |

Roots and Radicals | |

Addition and Subtraction of Algebraic Expressions | |

Multiplication of Algebraic Expressions | |

Division of Algebraic Expressions | |

Solving Equations | |

Formulas and Literal Equations | |

Applied Word Problems | |

Chapter Equations, Review Exercises, and Practice Test | |

Geometry | |

Lines and Angles | |

Triangles | |

Quadrilaterals | |

Circles | |

Measurement of Irregular Areas | |

Solid Geometric Figures | |

Functions and Graphs | |

Introduction to Functions | |

More About Functions | |

Rectangular Coordinates | |

The Graph of a Function | |

Graphs on the Graphing Calculator | |

Graphs of Functions Defined by Tables of Data | |

The Trigonometric Functions | |

Angles | |

Defining the Trigonometric Functions | |

Values of the Trigonometric Functions | |

The Right Triangle | |

Applications of Right Triangles | |

Systems of Linear Equations | |

Determinants | |

Linear Equations | |

Graphs of Linear Functions | |

Solving Systems of Two Linear Equations in Two Unknowns Graphically | |

Solving Systems of Two Linear Equations in Two Unknowns Algebraically | |

Solving Systems of Two Linear Equations in Two Unknowns by Determinants | |

Solving Systems of Three Linear Equations in Three Unknowns Algebraically | |

Solving Systems of Three Linear Equations in Three Unknowns by Determinants | |

Factoring and Fractions | |

Special Products | |

Factoring: Common Factor and Difference of Squares | |

Factoring Trinomials | |

The Sum and Differences of Cubes | |

Equivalent Fractions | |

Multiplication and Division of Fractions | |

Addition and Subtraction of Fractions | |

Equations Involving Fractions | |

Quadratic Equations | |

Quadratic Equations | |

Solution by Factoring | |

Completing the Square | |

The Quadratic Formula | |

The Graph of the Quadratic Function | |

Trigonometric Functions of Any Angle | |

Signs of the Trigonometric Functions | |

Trigonometric Functions of Any Angle | |

Radians | |

Applications of Radian Measure | |

Vectors and Oblique Triangles | |

Introduction to Vectors | |

Components of Vectors | |

Vector Addition by Components | |

Applications of Vectors | |

Oblique Triangles, the Law of Sines | |

The Law of Cosines | |

Graphs of the Trigonometric Functions | |

Graphs of y = a sin x and y = a cos x | |

Graphs of y = a sin bx and y = a cos bx | |

Graphs of y = a sin(bx + c) and y = a cos(bx + c) | |

Graphs of y = tan x, y = cot x, y = sec x, y = csc x | |

Applications of the Trigonometric Graphs | |

Composite Trigonometric Curves | |

Exponents and Radicals | |

Simplifying Expressions with Integral Exponents | |

Fractional Exponents | |

Simplest Radical Form | |

Addition and Subtraction of Radicals | |

Multiplication and Division of Radicals | |

Chapter Equations, Review Exercises, and Practice Test | |

Complex Numbers | |

Basic Definitions | |

Basic Operations with Complex Numbers | |

Graphical Representation of Complex Numbers | |

Polar Form of a Complex Number | |

Exponential Form of a Complex Number | |

Products, Quotients, Powers, and Roots of Complex Numbers | |

An Application to Alternating-Current (ac) Circuits | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Logarithms to the Base 10 | |

Natural Logarithms | |

Exponential and Logarithmic Equations | |

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