Title:

Precalculus : enhanced with graphing utilities

Author:

Sullivan, Michael, 1942-

Personal Author:

Edition:

Second edition.

Publication Information:

Upper Saddle River, N.J. : Prentice Hall, [2000]

©2000

Physical Description:

xxvii, 1006 pages, 104 pages, 10 pages : illustrations (some color) ; 26 cm

General Note:

Includes index.

Language:

English

Added Author:

ISBN:

9780130206923

Format :

Book

### Available:*

Library | Call Number | Material Type | Home Location | Status |
---|---|---|---|---|

Central Library | QA331.3 .S926 2000 | Adult Non-Fiction | Non-Fiction Area | Searching... |

### On Order

### Summary

### Summary

This textbook is intended to meet the needs of students with little background or interest in mathematics as well as those with a strong math background and plans for advanced study. It introduces the terminology and basic concepts of precalculus. Each chapter includes brief articles tying the conce

### Table of Contents

Preface to the Instructor | p. ix |

Preface to the Student | p. xiii |

List of Applications | p. xxiii |

Photo Credits | p. xxvii |

Chapter 1 Graphs | p. 1 |

1.1 Rectangular Coordinates; Graphing Utilities; Scatter Diagrams | p. 2 |

1.2 Graphs of Equations | p. 15 |

1.3 Solving Equations | p. 26 |

1.4 Setting Up Equations; Applications | p. 39 |

1.5 Solving Inequalities | p. 51 |

1.6 Lines | p. 63 |

1.7 Circles | p. 79 |

Chapter Review | p. 86 |

Chapter Projects | p. 91 |

Chapter 2 Function and Models | p. 93 |

2.1 Functions | p. 94 |

2.2 Linear Functions and Models | p. 110 |

2.3 Characteristics of Functions; Library of Functions | p. 119 |

2.4 Graphing Techniques: Transformations | p. 139 |

2.5 Operations on Functions; Composite Functions | p. 152 |

2.6 Mathematical Models; Constructing Functions | p. 161 |

Chapter Review | p. 169 |

Chapter Projects | p. 174 |

Chapter 3 Polynomial and Rational Functions | p. 177 |

3.1 Quadratic Functions and Models | p. 178 |

3.2 Power Functions and Models | p. 197 |

3.3 Polynomial Functions and Models | p. 203 |

3.4 The Real Zeros of a Polynomial Function | p. 214 |

3.5 Complex Numbers; Quadratic Equations with a Negative Discriminant | p. 228 |

3.6 Complex Zeros; Fundamental Theorem of Algebra | p. 237 |

3.7 Rational Functions | p. 243 |

3.8 Polynomial and Rational Inequalities | p. 264 |

Chapter Review | p. 273 |

Chapter Projects | p. 278 |

Chapter 4 Exponential and Logarithmic Functions | p. 281 |

4.1 One-to-One Functions; Inverse Functions | p. 282 |

4.2 Exponential Functions | p. 294 |

4.3 Logarithmic Functions | p. 306 |

4.4 Properties of Logarithms | p. 316 |

4.5 Logarithmic and Exponential Equations | p. 325 |

4.6 Compound Interest | p. 331 |

4.7 Growth and Decay | p. 341 |

4.8 Exponential, Logarithmic, and Logistic Curve Fitting | p. 350 |

Chapter Review | p. 360 |

Chapter Projects | p. 364 |

Chapter 5 Trigonometric Functions | p. 367 |

5.1 Angles and Their Measure | p. 368 |

5.2 Trigonometric Functions: Unit Circle Approach | p. 379 |

5.3 Properties of the Trigonometric Functions | p. 393 |

5.4 Right Triangle Trigonometry | p. 404 |

5.5 Graphs of the Trigonometric Functions | p. 414 |

5.6 Sinusoidal Graphs; Sinusoidal Curve Fitting | p. 425 |

Chapter Review | p. 443 |

Chapter Projects | p. 449 |

Chapter 6 Analytic Trigonometry | p. 451 |

6.1 Trigonometric Identities | p. 452 |

6.2 Sum and Difference Formulas | p. 458 |

6.3 Double-Angle and Half-Angle Formulas | p. 467 |

6.4 Product-to-Sum and Sum-to-Product Formulas | p. 477 |

6.5 The Inverse Trigonometric Functions | p. 480 |

6.6 Trigonometric Equations (I) | p. 496 |

6.7 Trigonometric Equations (II) | p. 501 |

Chapter Review | p. 508 |

Chapter Projects | p. 512 |

Chapter 7 Applications of Trigonometric Functions | p. 515 |

7.1 Solving Right Triangles | p. 516 |

7.2 The Law of Sines | p. 525 |

7.3 The Law of Cosines | p. 537 |

7.4 The Area of a Triangle | p. 543 |

7.5 Simple Harmonic Motion; Damped Motion | p. 549 |

Chapter Review | p. 556 |

Chapter Projects | p. 561 |

Chapter 8 Polar Coordinates; Vectors | p. 563 |

8.1 Polar Coordinates | p. 564 |

8.2 Polar Equations and Graphs | p. 572 |

8.3 The Complex Plane; DeMoivre's Theorem | p. 592 |

8.4 Vectors | p. 600 |

8.5 The Dot Product | p. 611 |

8.6 Vectors in Space | p. 621 |

Chapter Review | p. 631 |

Chapter Projects | p. 634 |

Chapter 9 Analytic Geometry | p. 637 |

9.1 Conics | p. 638 |

9.2 The Parabola | p. 639 |

9.3 The Ellipse | p. 651 |

9.4 The Hyperbola | p. 664 |

9.5 Rotation of Axes; General Form of a Conic | p. 678 |

9.6 Polar Equations of Conics | p. 687 |

9.7 Plane Curves and Parametric Equations | p. 693 |

Chapter Review | p. 708 |

Chapter Projects | p. 711 |

Chapter 10 Systems of Equations and Inequalities | p. 713 |

10.1 Systems of Linear Equations: Two Equations Containing Two Variables | p. 714 |

10.2 Systems of Linear Equations: Three Equations Containing Three Variables | p. 725 |

10.3 Systems of Linear Equations: Matrices | p. 731 |

10.4 Systems of Linear Equations: Determinants | p. 746 |

10.5 Matrix Algebra | p. 757 |

10.6 Partial Fraction Decomposition | p. 777 |

10.7 Systems of Nonlinear Equations | p. 784 |

10.8 Systems of Linear Inequalities; Linear Programming | p. 795 |

Chapter Review | p. 812 |

Chapter Projects | p. 817 |

Chapter 11 Sequences; Induction; The Binomial Theorem | p. 819 |

11.1 Sequences | p. 820 |

11.2 Arithmetic Sequences | p. 832 |

11.3 Geometric Sequences; Geometric Series | p. 839 |

11.4 Mathematical Induction | p. 855 |

11.5 The Binomial Theorem | p. 859 |

Chapter Review | p. 866 |

Chapter Projects | p. 870 |

Chapter 12 Counting and Probability | p. 873 |

12.1 Sets and Counting | p. 874 |

12.2 Permutations and Combinations | p. 880 |

12.3 Probability of Equally Likely Outcomes | p. 890 |

12.4 Analyzing Univariate Data; Obtaining Probabilities from Data | p. 906 |

Chapter Review | p. 920 |

Chapter Projects | p. 925 |

Chapter 13 A Preview of Calculus: the Limit and the Derivative of a Function | p. 927 |

13.1 Finding Limits Using Tables and Graphs | p. 928 |

13.2 Algebra Techniques for Finding Limits | p. 933 |

13.3 One-sided Limits; Continuous Functions | p. 941 |

13.4 The Tangent Problem; The Derivative | p. 948 |

Chapter Review | p. 956 |

Chapter Projects | p. 960 |

Appendices | p. 963 |

A.1 Topics from Algebra and Geometry | p. 963 |

A.2 Completing the Square; The Quadratic Formula | p. 977 |

A.3 Polynomials | p. 981 |

A.4 Polynomial Division | p. 988 |

A.5 Rational Expressions | p. 994 |

A.6 Radicals; Rational Exponents | p. 1000 |

Answers | p. AN1 |

Index | p. I1 |