Algebra and Trigonometry: Pearson New International Edition

Series
Pearson
Author
Robert F. Blitzer  
Publisher
Pearson
Cover
Softcover
Edition
5
Language
English
Total pages
1148
Pub.-date
July 2013
ISBN13
9781292022543
ISBN
129202254X
Related Titles


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9781292022543
Algebra and Trigonometry: Pearson New International Edition
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Description

Were you looking for the book with access to MyMathLab This product is the book alone, and does NOT come with access to MyMathLab. Buy the book and access card package to save money on this resource.

 

Were you looking for the book with access to MyMathLab? This product is the book alone, and does NOT come with access to MyMathLab. Buy the book and access card package to save money on this resource.

 

Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students’ lives, showing that their world is profoundly mathematical.

 

With the Fifth Edition, Blitzer takes student engagement to a whole new level. In addition to the multitude of exciting updates to the text and MyMathLab® course, new application-based MathTalk videos allow students to think about and understand the mathematical world in a fun, yet practical way. Assessment exercises allow instructors to assign the videos and check for understanding of the mathematical concepts presented.

Features

  • Blitzer engages students with the mathematical world around them.
    • Outstanding applications have been updated with real-world data. The goal is to put learning into context for the students and show the relevance of math. Applications include stretching one's life span, the emotional health of college freshmen, changing attitudes toward marriage, American Idol's viewership, math-themed comic strips, and more.
    • Chapter Opening and Section-Opening Scenarios are based on an application and revisited in the course of the chapter or section in examples, exercises and discussions. The often humorous tone of these openers is intended to help fearful and reluctant students overcome their negative perceptions about math.
    • The Learning Guide begins each chapter with an engaging application and is organized by objective, providing additional examples and exercises for students to work through for greater conceptual understanding and mastery of mathematical topics. The Learning Guide is available as PDFs and customizable Word files in MyMathLab. It can also be packaged with the textbook and MyMathLab® access code.
  • Blitzer supports students in their quest for success.
    • Voice balloons offer the support and guidance of an instructor’s voice. These specific annotations clarify procedures and concepts, mimicking what an instructor would say in class when translating the math into plain English.
    • Consistent Stepped-Out Examples are included throughout the text. No steps are omitted and each step is clearly explained. Each example concludes with problems for students to try, ensuring that they understand the concept before continuing.
    • New Great Question! takes the content from each Study Tip from the previous edition and presents it in the context of a student question. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
    • Technology boxes show how graphing utilities verify and visualize algebraic results. Even for those not using graphing utilities, these displays will help students understand different approaches to problem solving.
    • Discovery boxes, found throughout the text, encourage students to further explore algebraic concepts. These explorations are optional and their omission does not interfere with the continuity of the topic at hand.
    • Chapter Summaries organize chapter material into easy-to-use two-column review charts. These summarize the definitions and concepts for every section of the chapter and refer students to illustrative examples.
  • Blitzer provides extensive and varied exercise sets that check for retention and prepare students for future math courses.
    • New Concept and Vocabulary Checks are 470 short answer exercises, mainly fill-in-the-blank and true/false items, that assess students’ understanding of the definitions and concepts presented in each section. The Concept and Vocabulary Checks appear as separate features preceding the Exercise Sets and are a great check on reading comprehension.
    • “Make Sense?” classroom discussion exercises contain four critical thinking exercises that foster participation in the learning process. These questions ask students to determine whether statements are sensible, and to explain why or why not, allowing instructors to quickly gauge students’ understanding of concepts.
    • Preview Exercises at the end of each exercise set prepare students for material in the section ahead. Some problems review important material from the past and others are designed to get students thinking about concepts that they will soon encounter.
    • Mid-Chapter Checkpoints contain a set of review exercises that allow students to review skills and concepts from several sections before the end-of-chapter exercises.
    • True/False problems challenge students to use their critical thinking skills by asking students to change the wording of false statements so that they become true.
    • Practice Plus Problems are more challenging problems that test conceptual understanding by requiring students to combine skills and to revisit key concepts in order to solve.
    • Cumulative Review Exercises at the end of each chapter ensure that students remember previously learned material, keeping the fundamental skills and concepts fresh in their minds as they move on to the next chapter.
    • End-of-chapter tests cover all of the important topics in the chapter, helping students study for the real thing.
  • The MyMathLab® online course engages students and keeps them thinking. Access code is required.
    • Ready to Go Courses make it easier for instructors to get started with MyMathLab. Each course includes author-chosen, pre-assigned homework, integrated review questions, and quizzes, to make creating a course even simpler.
    • MathTalk Videos arefun, application-based videos featuring Andrew Vickers showing students how the math they are learning in Blitzer applies to the real world. Filmed on location in New York City and Boston, these instructional videos have a sense of humor while demonstrating how everyday life is full of math applications and give the students context on why they should care. They will also have an accompanying Instructor Guide and video assessment questions assignable in MyMathLab.
    • Integrated Review is skill review quizzes that test on prerequisite knowledge and are integrated throughout the Ready to Go MyMathLab course as well as available in the standard MyMathLab course. From these quizzes, each student receives a personalized, just-in-time review assignment, allowing them to refresh forgotten concepts.
    • Interactive Figures are now available, enabling users to manipulate figures to bring hard-to-convey math concepts to life. These are also assignable in MyMathLab.
    • Section-Lecture Videos provide lectures for each section of the text to help students review important concepts and procedures 24/7.
    • Chapter Test Prep Videos allow students to work through step-by-step solutions to all of the Chapter Test exercises from the textbook. These are available in MyMathLab and on YouTube.
    • The downloadable Learning Guide begins each chapter with an engaging application and is organized by objective, providing additional examples and exercises for students to work through for greater conceptual understanding and mastery of mathematical topics. The Learning Guide is available for download as PDF and Word® files from MyMathLab. It can also be packaged with the textbook and MyMathLab access code.

New to this Edition

Blitzer’s content evolves to enhance the learning experience for today’s students.

  • Applications and Real-World Data have been incorporated into this revision throughout the chapter and section openers, examples, and exercise sets. Applications include stretching one's life span, the emotional health of college freshmen, changing attitudes toward marriage, American Idol's viewership, math-themed comic strips, and more.
  • Concept and Vocabulary Checks are 470 new short answer exercises, mainly fill-in-the-blank and true/false items, that assess students’ understanding of the definitions and concepts presented in each section. The Concept and Vocabulary Checks appear as separate features preceding the Exercise Sets and are a great check on reading comprehension.
  • Great Question! takes the content from each Study Tip from the previous edition and presents it in the context of a student question. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
  • Chapter Opening and Section-Opening Scenarios are based on an application and revisiting in the course of the chapter or section in examples, exercises and discussions. The often humorous tone of these openers is intended to help fearful and reluctant students overcome their negative perceptions about math.
  • Blitzer Bonuses contain a variety of new but optional enrichment essays.

 

The MyMathLab® online course engages students and keeps them thinking. (Access code required)

  • Ready to Go Courses make it easier for instructors to get started with MyMathLab. Each course includes author-chosen, pre-assigned homework, integrated review questions, and quizzes to make creating a course even simpler.
  • MathTalk Videos arefun, application-based videos featuring Andrew Vickers showing students how the math they are learning in Blitzer applies to the real world. Filmed on location in New York City and Boston, these instructional videos have a sense of humor while demonstrating how everyday life is full of math applications and give the students context on why they should care. They will also have an accompanying Instructor Guide and video assessment questions assignable in MyMathLab.
  • Integrated Review are skill review quizzes that test on prerequisite knowledge and are integrated throughout the Ready to Go MyMathLab course as well as available in the standard MyMathLab course. From these quizzes, each student receives a personalized, just-in-time review assignment, allowing them to refresh forgotten concepts.
  • Interactive Figures are now available, enabling users to manipulate figures to bring hard-to-convey math concepts to life. These are also assignable in MyMathLab.
  • Section-Lecture Videos provide lectures for each section of the text to help students review important concepts and procedures 24/7.
  • Chapter Test Prep Videos allow students to work through step-by-step solutions to all the Chapter Test exercises from the textbook. These are available in MyMathLab and on YouTube.
  • The Learning Guide begins each chapter with an engaging application and is organized by objective, providing additional examples and exercises for students to work through for greater conceptual understanding and mastery of mathematical topics. The Learning Guide is available as PDFs and customizable Word files in MyMathLab. It can also be packaged with the textbook and MyMathLab access code.

 

 

Content Updates

  • Section P.1 (Algebraic Expressions, Mathematical Models, and Real Numbers) contains a new essay, now called a Blitzer Bonus, on using algebra to measure blood-alcohol concentration. This Blitzer Bonus should set the stage for the book’s engaging collection of unique applications.
  • Section P.6 (Rational Expressions) presents a new example on excluding numbers from a rational expression with a trinomial denominator.
  • Section 1.2 (Linear Equations and Rational Equations) contains examples involving both inconsistent equations and identities.
  • Section 2.5 (Transformations of Functions) has a more thoroughly developed discussion of how stretching or shrinking changes a graph’s shape.
  • Section 2.6 (Combinations of Functions; Composite Functions) has a new example on finding the domain of a function with a square root in the denominator. There is also a new example that ties in with the section opener (number of births and deaths in the United States) and illustrates an application of the algebra of functions.
  • Section 3.2 (Polynomial Functions and Their Graphs) contains a new example on graphing f(x) = -2(x - 1)2(x + 2) , a polynomial function whose equation is given in factored form.
  • Section 3.5 (Rational Functions and Their Graphs) has a variety of exercises where students must factor to find vertical asymptotes or holes.
  • Section 3.6 (Polynomial and Rational Inequalities) contains a new example on solving a polynomial inequality with irrational boundary points that requires the use of the quadratic formula.
  • Section 4.1 (Exponential Functions) presents an intriguing new Blitzer Bonus on the year humans become immortal. The section also contains a new table clarifying interest plans in which interest is paid more than once a year.
  • Section 4.4 (Exponential and Logarithmic Equations) has a new discussion (within the context of the Great Question! feature) on whether a negative number can belong to the solution set of a logarithmic equation.
  • Section 6.1 (Verifying Trigometric Identities) has a new discussion (within the content of the Great Question! feature) on the difference between solving a conditional equation and verifying that an equation is an identify.
  • Section 8.3 (Partial Fractions) uses the Great Question! feature to include a discussion on speeding up the process of finding partial fraction decompositions.

 

Table of Contents

Preface

Acknowledgments

To the Student

About the Author

Applications Index

 

P. Prerequisites: Fundamental Concepts of Algebra

P.1 Algebraic Expressions, Mathematical Models, and Real Numbers

P.2 Exponents and Scientific Notation

P.3 Radicals and Rational Exponents

P.4 Polynomials

P.5 Factoring Polynomials

P.6 Rational Expressions

 

1. Equations and Inequalities

1.1 Graphs and Graphing Utilities

1.2 Linear Equations and Rational Equations

1.3 Models and Applications

1.4 Complex Numbers

1.5 Quadratic Equations

1.6 Other Types of Equations

1.7 Linear Inequalities and Absolute Value Inequalities

 

2. Functions and Graphs

2.1 Basics of Functions and Their Graphs

2.2 More on Functions and Their Graphs

2.3 Linear Functions and Slope

2.4 More on Slope

2.5 Transformations of Functions

2.6 Combinations of Functions; Composite Functions

2.7 Inverse Functions

2.8 Distance and Midpoint Formulas; Circles

 

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions and Their Graphs

3.3 Dividing Polynomials; Remainder and Factor Theorems

3.4 Zeros of Polynomial Functions

3.5 Rational Functions and Their Graphs

3.6 Polynomial and Rational Inequalities

3.7 Modeling Using Variation

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

4.4 Exponential and Logarithmic Equations

4.5 Exponential Growth and Decay; Modeling Data

 

5. Trigonometric Functions

5.1 Angles and Radian Measure

5.2 Right Triangle Trigonometry

5.3 Trigonometric Functions of Any Angle

5.4 Trigonometric Functions of Real Numbers; Periodic Functions

5.5 Graphs of Sine and Cosine Functions

5.6 Graphs of Other Trigonometric Functions

5.7 Inverse Trigonometric Functions

5.8 Applications of Trigonometric Functions

 

6. Analytic Trigonometry

6.1 Verifying Trigonometric Identities

6.2 Sum and Difference Formulas

6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas

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

6.5 Trigonometric Equations

 

7. Additional Topics in Trigonometry

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Polar Coordinates

7.4 Graphs of Polar Equations

7.5 Complex Numbers in Polar Form; DeMoivre's Theorem

7.6 Vectors

7.7 The Dot Product

 

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 Fractions

8.4 Systems of Nonlinear Equations in Two Variables

8.5 Systems of Inequalities

8.6 Linear Programming

 

9. Matrices and Determinants

9.1 Matrix Solutions to Linear Systems

9.2 Inconsistent and Dependent Systems and Their Applications

9.3 Matrix Operations and Their Applications

9.4 Multiplicative Inverses of Matrices and Matrix Equations

9.5 Determinants and Cramer's Rule

 

10. Conic Sections and Analytic Geometry

10.1 The Ellipse

10.2 The Hyperbola

10.3 The Parabola

10.4 Rotation of Axes

10.5 Parametric Equations

10.6 Conic Sections in Polar Coordinates

 

Answers to Selected Exercises

Subject Index

Photo Credits