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# Precalculus

**by**Larson, Ron; Hostetler, Robert P.

7th

### 9780618643448

0618643443

Hardcover

1/26/2006

Cengage High School

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## Summary

This market-leading text continues to provide both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one- or two-term course that prepares students to study calculus, the new Seventh Edition retains the features that have made Precalculus a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. New! Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles. New! Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book. New! Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts. Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications. New! Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format. Eduspace, powered by Blackboard, Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to the College Algebra text. This content is paired with the recognized course management tools of Blackboard. For copyright 2007, two titles have been added to the Precalculus Series: Precalculus with Limits and Precalculus: A Concise Course. These titles enhance the scope of the series, making it even more flexible and adaptable to a variety of learning and teaching styles.

## Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |

Functions and Their Graphs | |

Rectangular Coordinates | |

Graphs of Equations | |

Linear Equations in Two Variables | |

Functions | |

Analyzing Graphs of Functions | |

A Library of Parent Functions | |

Transformations of Functions | |

Combinations of Functions: Composite Functions | |

Inverse Functions | |

Mathematical Modeling and Variation | |

Polynomial and Rational Functions | |

Quadratic Functions and Models | |

Polynomial Functions of Higher Degree | |

Polynomial and Synthetic Division | |

Complex Numbers | |

Zeros of Polynomial Functions | |

Rational Functions | |

Nonlinear Inequalities | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models Cumulative Test: Chapters 1–3 | |

Trigonometry | |

Radian and Degree Measure | |

Trigonometric Functions: The Unit Circle | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Inverse Trigonometric Functions | |

Applications and Models | |

Analytic Trigonometry | |

Using Fundamental Identities | |

Verifying Trigonometric Identities | |

Solving Trigonometric Equations | |

Sum and Difference Formulas | |

Multiple-Angle and Product-to-Sum Formulas | |

Additional Topics in Trigonometery | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Vectors and Dot Products | |

Trigonometric Form of a Complex Number Cumulative Test: Chapters 4–6 | |

Systems of Equations and Inequalities | |

Linear and Nonlinear Systems of Equations | |

Two-Variable Linear Systems | |

Multivariable Linear Systems | |

Partial Fractions | |

Systems of Inequalities | |

Linear Programming | |

Matrices and Determinants | |

Matrices and Systems of Equations | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants | |

Sequences, Series, and Probability | |

Sequences and Series | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Counting Principles | |

Probability Cumulative Test: Chapters 7–9 | |

Topics in Analytic Geometry | |

Lines | |

Introduction to Conics: Parabolas | |

Ellipses | |

Hyperbolas | |

Rotation of Conics | |

Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics | |

Analytic Geometry in Three Dimensions | |

The Three-Dimensional Coordinate System | |

Vectors in Space | |

The Cross Product of Two Vectors | |

Lines and Planes in Space | |

Limits and an Introduction to Calculus | |

Introduction to Limits | |

Techniques for Evaluating Limits | |

The Tangent Line Problem | |

Limits at Infinity and Limits of Sequences | |

The Area Problem Cumulative Test: Chapters 10–12 | |

Appendix | |

Review of Fundamental Concepts of Algebra | |

Real Numbers and Their Properties | |

Exponents and Radicals | |

Polynomials and Factoring | |

Rational Expressions | |

Solving Equations | |

Linear Inequalities in One Variable | |

Errors and the Algebra of Calculus | |

Appendix | |

Concepts in Statistics (web) | |

Representing Data | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

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