College Algebra and Trigonometry, Global Edition

Series
Pearson
Author
J. S. Ratti / Marcus S. McWaters  
Publisher
Pearson
Cover
Softcover
Edition
3
Language
English
Total pages
1104
Pub.-date
June 2014
ISBN13
9781292058665
ISBN
1292058668
Related Titles


Product detail

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9781292058665
College Algebra and Trigonometry, Global Edition
74.20 approx. 7-9 days

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Description

Ratti and McWaters have combined years of lecture notes and classroom experience to bring you a series that connects concepts and maintains course rigor. An extensive array of exercises and learning aids further complements your instruction, which ultimately helps to improve student mathematical understanding and results in the course.


This program will provide a better teaching and learning experience—for you and your students. Here’s how:

  • Improve Results with Pearson MyLab Mathematics®: Pearson MyLab Mathematics delivers proven results in helping students succeed and provides engaging experiences that personalize learning.
  • Guide Students to Become Active Learners with student-friendly support features that are designed to help students see not only what they are going to learn, but also why, so that every concept is placed into the proper context.
  • Encourage Students to Practice with three levels of exercises designed to help students practice the math and apply their understanding.

Help Students Review and Study with Integrated Study Aids that address some of the most frequent issues and questions.

Features

Encourage Students to Become Active Learners with student-friendly support features in Ratti/McWaters that are designed to help students see not only what they are going to learn, but also why, so that every concept is placed into the proper context.

  • Topics for review help students refresh their memories on essential topics before beginning each chapter, listing specific page references to make it easy to find those concepts.
  • Clear Objectives preview the key points of the section ahead, providing easy reference points when studying for exams. These Objectives appear again at the appropriate places in the section, putting each new topic into context.
  • Each section leads off with an engaging Application that is revisited later in the section through examples and exercises. The Application ties key ideas together and provides motivation for students to read and study.
  • Work it out: As you would in your own class, Ratti and McWaters encourage students to practice the material frequently, and give them ample opportunities to master the material by solving problems and applying their understanding.
  • Procedure in Action boxes present important multistep procedures in a two-column format, illustrating the numbered steps of a procedure with a worked example. All examples conclude with a Practice Problem to ensure that students grasp the concept before moving forward.

Encourage Students to Practice with three levels of exercises designed for students to practice the math and apply their understanding.

  • NEW! Answers to the Practice Problems have been moved to the end of the section, just before the Exercises
  • NEW! Approximately 20% of the exercises have been updated and over 1,000 exercises have been added.
  • NEW! Maintaining Skills exercises are placed at the end of each exercise set. Working these exercises will make it much easier for students to concentrate on the new material in each section.
  • Three levels of Exercises for students to practice the math and apply their understanding:
    • Basic Skills and Concepts are suitable for all students and homework assignments. Now included are new fill-in-the-blank and true/false exercises that test whether basic concepts and vocabulary of the section have been absorbed.
    • Applying the Concepts are perfect for all students and homework assignments.
    • Beyond the Basics can be used with advanced students or for extra credit.
    • Additional exercise types include Critical Thinking, Graphing Calculator, and Group Projects.
  • Fill-in-the-blank and true/false exercises appear at the beginning of the Basic Skills and Concepts sets to make sure students have a solid grasp of the concepts and vocabulary of the section before starting their homework.
  • Graphing and graph interpretation exercises appear throughout the text as appropriate.

Help Students Review and Study with Integrated Study Aids that address some of the most frequent issues and questions.

  • Help along the way: These integrated study aids give students hints and tips at strategic places in the text, addressing some of the most frequent issues and questions that occur
    • Recall notes, located in the margins, periodically remind students of a key idea they learned earlier in the text that will help them with the new problem at hand.
    • Warning notes point out commonly-made errors in thinking and calculations, with specific examples and detailed guidance.
    • Side Notes offer just-in-time hints on essential skills.
    • Technology Connections, although optional, give students tips on using their calculators to check answers and reinforce concepts.
    • Do You Know? marginal note keeps students engaged with interesting facts and information.
    • Historical Notes cover people and ideas in the history and development of mathematics.
  • Preparation and review—end-of-chapter material includes all of the following items to help students prepare for exams and make the most of their study time.
    • Summary of Definitions, Concepts, and Formulas lists out key ideas from the chapter for convenient review.
    • Review Exercises cover all concepts from the chapter.
    • Two full Practice Tests, one multiple-choice and one open-ended, help students prepare for any exam format.
    • Cumulative Review exercises: Starting in Chapter 2, these exercises remind students that math isn’t modular. What they learn in the first part of book is the foundation for later concepts.

 

Short Retail Description

Ratti and McWaters have combined years of lecture notes and classroom experience to bring you a series that connects concepts and maintains course rigor. An extensive array of exercises and learning aids further complements your instruction, which ultimately helps to improve student mathematical understanding and results in the course.

 KEY TOPICS: Basic Concepts of Algebra; Equations and Inequalities; Graphs and Functions; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities and Equations; Applications of Trigonometric Functions; Systems of Equations and Inequalities; Matrices and Determinants; Conic Sections; Further Topics in Algebra

 MARKET: For all readers interested in college algebra and trigonometry.

 

New to this Edition

 

 Chapter 1

  • Applications of linear equations have been relocated in Section 1.
  • A Separate section “Complex Numbers: Quadratic Equations with Complex Solutions” introduces complex numbers and discusses complex roots of quadratic equations.
  • Polynomial and rational inequalities are now discussed in Section 5.

Chapter 2

  • Expanded discussion of the domain of composite functions with more examples.

Chapter 3

  • New examples of quadratic functions.
  • The procedure for graphing rational functions has been rewritten to identify the relation of the graph to horizontal and oblique asymptotes.

Chapter 4

  • The number e is now introduced in Section 1.
  • A new section on logarithmic scales has been added.

Chapter 5

  • Partial-Fraction Decomposition has been moved to immediately follow Section 2 “Systems of Linear Equations in Three Variables”.  

Web Online Copy

Ratti and McWaters have combined years of lecture notes and classroom experience to bring you a series that connects concepts and maintains course rigor. An extensive array of exercises and learning aids further complements your instruction, which ultimately helps to improve student mathematical understanding and results in the course.

Note: You are purchasing a standalone product; Pearson MyLab Mathematics does not come packaged with this content. Pearson MyLab Mathematics is not a self-paced technology and should only be purchased when required by an instructor.

 

 


Table of Contents

P. Basic Concepts of Algebra

P.1 The Real Numbers and Their Properties

P.2 Integer Exponents and Scientific Notation

P.3 Polynomials

P.4 Factoring Polynomials

P.5 Rational Expressions

P.6 Rational Exponents and Radicals

   Chapter P Summary

   Chapter P Review Exercises

   Chapter P Practice Test A

   Chapter P Practice Test B

 

1. Equations and Inequalities

1.1 Linear Equations in One Variable

1.2 Quadratic Equations

1.3 Complex Numbers: Quadratic Equations with Complex Solutions

1.4 Solving Other Types of Equations

1.5 Inequalities

1.6 Equations and Inequalities Involving Absolute Value

   Chapter 1 Summary

   Chapter 1 Review Exercises

   Chapter 1 Practice Test A

   Chapter 1 Practice Test B

 

2. Graphs and Functions

2.1 The Coordinate Plane

2.2 Graphs of Equations

2.3 Lines

2.4 Functions

2.5 Properties of Functions

2.6 A Library of Functions

2.7 Transformations of Functions

2.8 Combining Functions; Composite Functions

2.9 Inverse Functions

   Chapter 2 Summary

   Chapter 2 Review Exercises

   Chapter 2 Practice Test A

   Chapter 2 Practice Test B

   Cumulative Review Exercises- Chapters P-2

 

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions

3.3 Dividing Polynomials

3.4 The Real Zeros of a Polynomial Function

3.5 The Complex Zeros of a Polynomial Function

3.6 Rational Functions

3.7 Variation

   Chapter 3 Summary

   Chapter 3 Review Exercises

   Chapter 3 Practice Test A

   Chapter 3 Practice Test B

   Cumulative Review Exercises- Chapters P-3

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Rules of Logarithms

4.4 Exponential and Logarithmic Equations and Inequalities

4.5 Logarithmic Scales

   Chapter 4 Summary

   Chapter 4 Review Exercises

   Chapter 4 Practice Test A

   Chapter 4 Practice Test B

   Cumulative Review Exercises- Chapters P-4

 

5. Trigonometric Functions

5.1 Angles and Their Measure

5.2 Right-Triangle Trigonometry

5.3 Trigonometric Functions of Any Angle; The Unit Circle

5.4 Graphs of the Sine and Cosine Functions

5.5 Graphs of the Other Trigonometric Functions

5.6 Inverse Trigonometric Functions

   Chapter 5 Summary

   Chapter 5 Review Exercises

   Chapter 5 Practice Test A

   Chapter 5 Practice Test B

   Cumulative Review Exercises- Chapters P-5

 

6. Trigonometric Identities and Equations

6.1 Verifying Identities

6.2 Sum and Difference Formulas

6.3 Double-Angle and Half-Angle Formulas

6.4 Product-to-Sum and Sum-to-Product Formulas

6.5 Trigonometric Equations I

6.6 Trigonometric Equations II

   Chapter 6 Summary

   Chapter 6 Review Exercises

   Chapter 6 Practice Test A

   Chapter 6 Practice Test B

   Cumulative Review Exercises- Chapters P-6

 

7. Applications of Trigonometric Functions

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Areas of Polygons Using Trigonometry

7.4 Vectors

7.5 The Dot Product

7.6 Polar Coordinates

7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem

   Chapter 7 Summary

   Chapter 7 Review Exercises

   Chapter 7 Practice Test A

   Chapter 7 Practice Test B

   Cumulative Review Exercises- Chapters P-7

 

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Partial-Fraction Decomposition

8.4 Systems of Nonlinear Equations

8.5 Systems of Inequalities

8.6 Linear Programming

   Chapter 8 Summary

   Chapter 8 Review Exercises

   Chapter 8 Practice Test A

   Chapter 8 Practice Test B

   Cumulative Review Exercises- Chapters P-8

 

9. Matrices and Determinants

9.1 Matrices and Systems of Equations

9.2 Matrix Algebra

9.3 The Matrix Inverse

9.4 Determinants and Cramer’s Rule

   Chapter 9 Summary

   Chapter 9 Review Exercises

   Chapter 9 Practice Test A

   Chapter 9 Practice Test B

   Cumulative Review Exercises- Chapters P-9

 

10. Conic Sections

10.1 Conic Sections: Overview

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

   Chapter 10 Summary

   Chapter 10 Review Exercises

   Chapter 10 Practice Test A

   Chapter 10 Practice Test B

   Cumulative Review Exercises- Chapters P-10

 

11. Further Topics in Algebra

11.1 Sequences and Series

11.2 Arithmetic Sequences; Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

   Chapter 11 Summary

   Chapter 11 Review Exercises

   Chapter 11 Practice Test A

   Chapter 11 Practice Test B

   Cumulative Review Exercises- Chapters P-11