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by Ron Larson and Robert Hostetler

Edition: 07Copyright: 2007

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

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With the same design and feature sets as the market leading Precalculus, 7/e, this new concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Precalculus A Concise Course is designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises. In addition

- 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.
- Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, giving students the opportunity to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
- 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 are carefully developed 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 Precalculus A Concise Course text. This content is paired with the recognized course management tools of Blackboard.

**1. Functions and Their Graphs**

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

**2. 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

**3. 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

**4. 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

**5. Analytic Trigonometry**

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple-Angle and Product-to-Sum Formulas

Law of Sines

Law of Cosines

**6. Topics in Analytic Geometry**

Lines

Introduction to Conics Parabolas

Ellipses

Hyperbolas

Parametric Equations

Polar Coordinates

Graphs of Polar Coordinates

Polar Equations of Conics

Cumulative Test Chapters 4-6

**Appendix A. A Review of Fundamental Concepts of Algebra (web)**

Real Numbers and Their Properties

Exponents and Radicals

Polynomials and Factoring

Rational Expressions

Solving Equations

Solving Inequalities

Errors and the Algebra of Calculus

**Appendix B. Concepts in Statistics (web)**

Representing Data

Measures of Central Tendency and Dispersion

Least Squares Regression

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Summary

With the same design and feature sets as the market leading Precalculus, 7/e, this new concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Precalculus A Concise Course is designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises. In addition

- 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.
- Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, giving students the opportunity to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
- 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 are carefully developed 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 Precalculus A Concise Course text. This content is paired with the recognized course management tools of Blackboard.

Table of Contents

**1. Functions and Their Graphs**

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

**2. 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

**3. 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

**4. 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

**5. Analytic Trigonometry**

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple-Angle and Product-to-Sum Formulas

Law of Sines

Law of Cosines

**6. Topics in Analytic Geometry**

Lines

Introduction to Conics Parabolas

Ellipses

Hyperbolas

Parametric Equations

Polar Coordinates

Graphs of Polar Coordinates

Polar Equations of Conics

Cumulative Test Chapters 4-6

**Appendix A. A Review of Fundamental Concepts of Algebra (web)**

Real Numbers and Their Properties

Exponents and Radicals

Polynomials and Factoring

Rational Expressions

Solving Equations

Solving Inequalities

Errors and the Algebra of Calculus

**Appendix B. Concepts in Statistics (web)**

Representing Data

Measures of Central Tendency and Dispersion

Least Squares Regression

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2007

International: No

Published: 2007

International: No

With the same design and feature sets as the market leading Precalculus, 7/e, this new concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Precalculus A Concise Course is designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises. In addition

- 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.
- Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, giving students the opportunity to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
- 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 are carefully developed 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 Precalculus A Concise Course text. This content is paired with the recognized course management tools of Blackboard.

**1. Functions and Their Graphs**

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

**2. 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

**3. 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

**4. 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

**5. Analytic Trigonometry**

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple-Angle and Product-to-Sum Formulas

Law of Sines

Law of Cosines

**6. Topics in Analytic Geometry**

Lines

Introduction to Conics Parabolas

Ellipses

Hyperbolas

Parametric Equations

Polar Coordinates

Graphs of Polar Coordinates

Polar Equations of Conics

Cumulative Test Chapters 4-6

**Appendix A. A Review of Fundamental Concepts of Algebra (web)**

Real Numbers and Their Properties

Exponents and Radicals

Polynomials and Factoring

Rational Expressions

Solving Equations

Solving Inequalities

Errors and the Algebra of Calculus

**Appendix B. Concepts in Statistics (web)**

Representing Data

Measures of Central Tendency and Dispersion

Least Squares Regression