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# Master Math: Pre-Calculus

**by**Ross, Debra Anne

2nd

### 9781598639810

1598639811

Paperback

5/21/2009

Cengage Learning PTR

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This is the 2nd edition with a publication date of 5/21/2009.

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## Summary

"Master Math: Pre-Calculus and Geometry" makes the transition from algebra smooth and stress-free. This comprehensive pre-calculus book begins with the most basic fundamental principles and progresses through more advanced topics. The book covers subjects like triangles, volume, limits, derivatives, differentiation, and more in a clear, easy-to-understand manner. "Pre-Calculus and Geometry" explains the principles and operations of geometry, trigonometry, pre-calculus and introductory calculus with step-by-step procedures and solutions.

## Table of Contents

Introduction | p. xi |

Geometry | p. 1 |

Lines and Angles | p. 2 |

Polygons | p. 8 |

Triangles | p. 11 |

Quadrilaterals (Four-Sided Polygons) | p. 16 |

Circles | p. 20 |

Perimeter and Area of Planar Two-Dimensional Shapes | p. 26 |

Volume and Surface Area of Three-Dimensional Objects | p. 32 |

Vectors | p. 38 |

Trigonometry | p. 41 |

Introduction | p. 42 |

General Trigonometric Functions | p. 43 |

Addition, Subtraction, and Multiplication of Two Angles | p. 50 |

Oblique Triangles | p. 51 |

Graphs of Cosine, Sine, Tangent, Secant, Cosecant, and Cotangent | p. 52 |

Relationship Between Trigonometric and Exponential Functions | p. 56 |

Hyperbolic Functions | p. 57 |

Sets and Functions | p. 59 |

Sets | p. 59 |

Functions | p. 62 |

Sequences, Progressions, and Series | p. 67 |

Sequences | p. 68 |

Arithmetic Progressions | p. 69 |

Geometric Progressions | p. 70 |

Series | p. 71 |

Infinite Series: Convergence and Divergence | p. 74 |

Tests for Convergence of Infinite Series | p. 77 |

The Power Series | p. 83 |

Expanding Functions into Series | p. 84 |

The Binomial Expansion | p. 89 |

Limits | p. 91 |

Introduction to Limits | p. 91 |

Limits and Continuity | p. 95 |

Introduction to the Derivative | p. 101 |

Definition | p. 102 |

Evaluating Derivatives | p. 107 |

Differentiating Multivariable Functions | p. 109 |

Differentiating Polynomials | p. 110 |

Derivatives and Graphs of Functions | p. 110 |

Adding and Subtracting Derivatives of Functions | p. 113 |

Multiple or Repeated Derivatives of a Function | p. 114 |

Derivatives of Products and Powers of Functions | p. 115 |

Derivatives of Quotients of Functions | p. 120 |

The Chain Rule for Differentiating Complicated Functions | p. 122 |

Differentiation of Implicit vs. Explicit Functions | p. 125 |

Using Derivatives to Determine the Shape of the Graph of a Function (Minimum and Maximum Points) | p. 128 |

Other Rules of Differentiation | p. 136 |

An Application of Differentiation: Curvilinear Motion | p. 137 |

Introduction to the Integral | p. 141 |

Definition of the Antiderivative or Indefinite Integral | p. 142 |

Properties of the Antiderivative or Indefinite Integral | p. 144 |

Examples of Common Indefinite Integrals | p. 147 |

Definition and Evaluation of the Definite Integral | p. 148 |

The Integral and the Area Under the Curve in Graphs of Functions | p. 151 |

Integrals and Volume | p. 155 |

Even Functions, Odd Functions, and Symmetry | p. 158 |

Properties of the Definite Integral | p. 160 |

Methods for Evaluating Complex Integrals: Integration by Parts, Substitution, and Tables | p. 161 |

Index | p. 165 |

Table of Contents provided by Ingram. All Rights Reserved. |