Higher Education

Algebra and Trigonometry, 8th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • ISBN-10: 1439048479  |  ISBN-13: 9781439048474
  • 1040 Pages
  • Previous Editions: 2007, 2004, 2001
  • © 2011 | Published
  • College Bookstore Wholesale Price = $260.75
  • Newer Edition Available
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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 Eighth 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.

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.

Table of Contents

P. PREREQUISITES.
Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.
Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. FUNCTIONS AND THEIR GRAPHS.
Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Functions. Shifting, Reflecting, and Stretching Graphs. Combinations of Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.
3. POLYNOMIAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4 RATIONAL FUNCTIONS AND CONICS.
Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. 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. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.
6. TRIGONOMETERY.
Angles and Their Measure. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
7. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
8. ADDITIONAL TOPICS IN TRIGONOMETRY.
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Trigonometric Form of a Complex Number. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.
9. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
10. 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. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
11. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 9-11. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: ERRORS AND THE ALGEBRA OF CALCULUS.
APPENDIX B: CONCEPTS IN STATISTICS (WEB).
Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.
ALTERNATIVE/EXPANDED VERSION OF CHAPTER P (WEB).
Operations with Real Numbers. Properties of Real Numbers. Algebraic Expressions. Operations with Polynomials. Factoring Polynomials. Factoring Trinomials.

What's New

  • NEW Cap Stone Exercises - the Cap Stone exercises assesses students understanding of all concepts covered in the section's material.
  • NEW detailed Chapter Review - The new edition now includes explanations and/or examples for all learning objectives. This will further promote students' understanding of the material.
  • NEW Caution/Warning boxes - The warnings cautions students away from common errors and pitfalls.
  • NEW Algebra Helps - the author provides appropriate caution boxes, study tips and algebra helps to guide the student through difficult concepts.
  • Improved Examples (graphical solution side by side with algebraic solution). This is intended to improve the students graphical understanding of algebra.
  • New/Revised End of section exercises.
  • Enhanced WebAssign.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Enhanced WebAssign Homework with eBook Access Card for One Term Math and Science

ISBN-10: 1424089174  | ISBN-13: 9781424089178

List Price = $352.95  | CengageBrain Price = $352.95  | College Bookstore Wholesale Price = $265.75

This Bundle Includes:

  • Algebra and Trigonometry
    List Price = $346.95  | CengageBrain Price = $346.95  | College Bookstore Wholesale Price = $260.75
  • Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Bundle: Text + Student Study and Solutions Manual

ISBN-10:  1111701229 | ISBN-13:  9781111701222

List Price = $475.95  | CengageBrain Price = $475.95  | College Bookstore Wholesale Price = $357.75

This Bundle Includes:

  • Algebra and Trigonometry
    List Price = $346.95  | CengageBrain Price = $346.95  | College Bookstore Wholesale Price = $260.75
  • Student Study and Solutions Manual
    List Price = $128.95  | CengageBrain Price = $128.95  | College Bookstore Wholesale Price = $97.00


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

PowerLecture with ExamView®  (ISBN-10: 1439048649 | ISBN-13: 9781439048641)

The CD-ROM provides the instructor with dynamic media tools for teaching college algebra. PowerPoint® lecture slides and art slides of the figures from the text, together with electronic files for the test bank and a link to the Solution Builder, are available. The algorithmic ExamView allows you to create, deliver, and customize tests (both print and online) in minutes with this easy-to-use assessment system. Enhance how your students interact with you, your lecture, and each other.

Solution Builder  (ISBN-10: 1439048630 | ISBN-13: 9781439048634)

This is an electronic version of the complete solutions manual available via the PowerLecture and Instructor’s Companion Website. It provides instructors with an efficient method for creating solution sets to homework or exams that can then be printed or posted.

Complete Solutions Manual  (ISBN-10: 1439049106 | ISBN-13: 9781439049105)

This manual contains solutions to all exercises from the text, including Chapter Review Exercises, and Chapter Tests.

Enhanced Webassign Homework Only Printed Access Card for Multiple-Term Math and Science  (ISBN-10: 1305408039 | ISBN-13: 9781305408036)

List Price = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

DVD  (ISBN-10: 0538738480 | ISBN-13: 9780538738484)

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: 1439049114 | ISBN-13: 9781439049112)

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.

Student Supplements

Student Study and Solutions Manual  (ISBN-10: 1439048517 | ISBN-13: 9781439048511)

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

Online Adobe PDF eBook Instant Access Code  (ISBN-10: 1111567956 | ISBN-13: 9781111567958)

List Price = $162.00  | College Bookstore Wholesale Price = $162.00

Enhanced Webassign Homework Only Printed Access Card for Multiple-Term Math and Science  (ISBN-10: 1305408039 | ISBN-13: 9781305408036)

List Price = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

DVD  (ISBN-10: 0538738480 | ISBN-13: 9780538738484)

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

Bundle: Text + Enhanced WebAssign Homework with eBook Access Card for One Term Math and Science  (ISBN-10: 1424089174 | ISBN-13: 9781424089178)

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 Eighth 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.

List Price = $352.95  | CengageBrain Price = $352.95  | College Bookstore Wholesale Price = $265.75

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.