Higher Education

Algebra and Trigonometry, 7th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Robert P. Hostetler The Pennsylvania State University, The Behrend College
  • ISBN-10: 0618643214  |  ISBN-13: 9780618643219
  • 1056 Pages
  • Previous Editions: 2004, 2001, 1997
  • © 2007 | Published
  • College Bookstore Wholesale Price = $260.75
  • Newer Edition Available

About

Overview

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

Additional Product Information

Features and Benefits

  • 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, allowing students 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 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.
  • 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 Algebra and Trigonometry text. This content is paired with the recognized course management tools of Blackboard.
  • The addition of Precalculus with Limits and Precalculus: A Concise Course to the Precalculus series enhances 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.
P. Prerequisites
P.1 Review of Real Numbers and Their Properties
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 The Rectangular Coordinate System and Graphs
1. Equations, Inequalities, and Mathematical Modeling
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations and Applications
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Parent Functions
2.5 Transformations of Functions
2.6 Combinations of Functions: Composite Functions
2.7 Inverse Functions
Cumulative Test: Chapters P-2
3. Polynomial Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling and Variation
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Conics
4.4 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 3-5
6. Trigonometry
6.1 Angles and Their Measure
6.2 Right Triangle Trigonometry
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of Other Trigonometric Functions
6.6 Inverse Trigonometric Functions
6.7 Applications and Models
7. Analytic Trigonometry
7.1 Using Fundamental Identities
7.2 Verifying Trigonometric Identities
7.3 Solving Trigonometric Equations
7.4 Sum and Difference Formulas
7.5 Multiple-Angle and Product-to-Sum Formulas
8. Additional Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
8.3 Vectors in the Plane
8.4 Vectors and Dot Products
8.5 Trigonometric Form of a Complex Number
Cumulative Test: Chapters 6-8
9. Systems of Equations and Inequalities
9.1 Linear and Nonlinear Systems of Equations
9.2 Two-Variable Linear Systems
9.3 Multivariable Linear Systems
9.4 Partial Fractions
9.5 Systems of Inequalities
9.6 Linear Programming
10. Matrices and Determinants
10.1 Matrices and Systems of Equations
10.2 Operations with Matrices
10.3 The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix
10.5 Applications of Matrices and Determinants
11. Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability
Cumulative Test: Chapters 9-11
Appendix A. Concepts in Statistics (web)
A.1 Representing Data
A.2 Measures of Central Tendency and Dispersion
A.3 Least Squares Regression

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

HM Testing with ClassPrep  (ISBN-10: 0618643303 | ISBN-13: 9780618643301)

This CD enables instructors to access both lecture tools and testing software in on place.The revised version of HM ClassPrep includes solutions to all text exercises, special features, and tests; an Alternative Chapter P: Prerequisites; Appendix A: Concepts in Statistics; graphing utility programs; graphing technology keystroke guide; Digital Art and Tables; and additional text-specific teaching resources.This new version of HM Testing significantly improves functionality and ease of use by offering all the tools needed to create, author, customize, and deliver multiple test types--including authoring and editing algorithmic questions.New! Power Points: Available in HM ClassPrep and on the companion web site, these customizable Power Point presentations cover key topics in the course.

Test Item File (Print)  (ISBN-10: 0618643273 | ISBN-13: 9780618643271)

List Price = $14.95  | College Bookstore Wholesale Price = $11.25

Complete Solutions Guide (Print)  (ISBN-10: 0618643265 | ISBN-13: 9780618643264)

List Price = $51.95  | College Bookstore Wholesale Price = $38.75

Student Solutions Guide  (ISBN-10: 0618643230 | ISBN-13: 9780618643233)

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

List Price = $128.95  | College Bookstore Wholesale Price = $97.00

DVD  (ISBN-10: 0618643184 | ISBN-13: 9780618643189)

Keyed to the text by section, these DVDs and provide comprehensive coverage of the course--along with additional explanations of concepts, sample problems, and applications--to help students review essential topics.

List Price = $100.95  | CengageBrain Price = $100.95  | College Bookstore Wholesale Price = $76.25

Annotated Instructor's Edition  (ISBN-10: 0618643222 | ISBN-13: 9780618643226)

This IAE is the complete student text plus point-of-use annotations for the instructor, including extra projects, classroom activities, teaching strategies, and additional examples. Answers to even-numbered text exercises, Vocabulary Checks, and Explorations are also provided.

List Price = $391.95  | College Bookstore Wholesale Price = $294.75

Student Supplements

Student Solutions Guide  (ISBN-10: 0618643230 | ISBN-13: 9780618643233)

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

List Price = $128.95  | College Bookstore Wholesale Price = $97.00

DVD  (ISBN-10: 0618643184 | ISBN-13: 9780618643189)

Keyed to the text by section, these DVDs and provide comprehensive coverage of the course--along with additional explanations of concepts, sample problems, and applications--to help students review essential topics.

List Price = $100.95  | CengageBrain Price = $100.95  | College Bookstore Wholesale Price = $76.25

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

Robert P. Hostetler

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.