College Algebra and Trigonometry: Pearson New International Edition

Series
Pearson
Author
Mark Dugopolski  
Publisher
Pearson
Cover
Softcover
Edition
5
Language
English
Total pages
846
Pub.-date
July 2013
ISBN13
9781292023816
ISBN
1292023813
Related Titles


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9781292023816
College Algebra and Trigonometry: Pearson New International Edition
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Description

Dugopolski’s College Algebra and Trigonometry: A Unit Circle Approach, Fifth Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

 

Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski.

Features

  • Strategies for success. Learning aids are strategically placed throughout the text giving students guidance right when they need it.
    • Chapter Openers discuss real-world situations that use mathematics from that chapter. Examples and exercises then relate back to the opening scenarios.
    • Try This exercises after every example give students the opportunity to immediately try a problem that is just like the example and to check their work. Solutions are contained in the appendix of the student edition.
    • Summaries of important concepts are included to help students clarify ideas that have multiple parts.
    • Strategies contain general guidelines for accomplishing tasks, and are useful for sharpening students’ problem-solving skills.
    • Procedures are similar to Strategies, but are more specific and more algorithmic, designed to give students a step-by-step approach for problems.
    • Function Galleries show families of functions and their graphs, helping students link the visual aspects with the mathematical properties. These occurring throughout the text as appropriate, and are also gathered together at the beginning of the text for easy reference.
    • Hints suggest ways of approaching a problem and give a starting point to solve the application problem. These are given for approximately five application problems in every exercise set.
    • Graphing calculator discussions throughout the text support and enhance algebraic conclusions, but are not used to arrive at those conclusions. These are optional and may be skipped, although students who do not use a graphing calculator may still benefit from the graphs and technology discussions

 

  • Milestones along the way. Section exercises and review material include the following exercise types so students can practice and check their progress.
    • NEW! Fill-in-the-blank exercises begin every set of section exercises helping students learn the definitions, rules, and theorems.
    • For Thought exercises are ten true/false questions that review the basic concepts in the section, check student understanding before beginning the exercises, and offer opportunities for writing and discussion. Answers are included in the back of the student edition.
    • Exercises are arranged by difficulty, from easy to challenging. Exercises that require a graphing calculator are marked with an icon and may be skipped.
    • NEW! Cumulative review exercises at the end-of-section exercises are designed to keep current the skills learned in previous sections and chapters. These exercises are under the heading “Rethinking.”
    • Writing/Discussion andCooperative Learning Exercises deepen students’ understanding by giving them the opportunity to express mathematical ideas in writing and to their classmates during small group or team discussions.
    • Thinking Outside the Box problems are designed to get students (and instructors) to do some mathematics just for fun, encouraging students to apply their creativity to unique problems. The problems can be used for individual or group work. Answers are given in the Annotated Instructor’s Edition and complete solutions can be found in the Instructor’s Solutions Manual.
    • Pop Quizzes in every section of the text give instructors convenient eight- to ten-question quizzes that can be used in the classroom, covering the basic concepts. Answers are included in the Annotated Instructor’s Edition.
    • Linking Concepts are multi-part exercises that require the use of concepts from previous sections to illustrate the links among various concepts. These can be found at the end of nearly every exercise set. Answers are given in the Annotated Instructor’s Edition, and full solutions can be found in the Instructor’s Solutions Manual.

 

  • Tying it all together. Chapter review material contains all of the following features to help students review and synthesize the material as they prepare for the road ahead.
    • Highlights contain an overview of all of the concepts presented in the chapter along with brief examples to illustrate the concept.
    • Chapter Review Exercises are designed to give students a comprehensive review of the chapter without reference to individual sections, in order to prepare them for the chapter test.
    • Chapter Tests measure the students' readiness for a typical one-hour classroom test. Instructors may also use them as a model for their own end-of-chapter tests.
    • EXPANDED! Tying It All Together exercises help students review selected concepts from the present and prior chapters, and require them to integrate multiple concepts and skills. These occur at the end of most chapters and have been expanded to include fill-in-the-blank vocabulary exercises.
    • Index of Applications list the many applications contained within the text. The applications are page referenced and grouped by subject matter.

For instructors:

  • The Annotated Instructor’s Edition includes answers on the page beside the exercises for most exercises, plus a complete answer section at the back.
  • Example Numbers appear at the end of the direction line for nearly all groups of exercises, indicating which examples correspond to the exercises. This convenient cross-referencing appears in the Annotated Instructor’s Edition and will make it easy for instructors to assign homework problems.
  • Insider’s Guide This supplement includes resources to help faculty with course preparation and classroom management. Included are helpful teaching tips correlated to each section of the text as well as additional resources for classroom enrichment.

 

New to this Edition

  • Updated real-world data in examples, exercises, and chapter and section openers make the text relevant for today’s students.
  • Fill-in-the-blank exercises begin every set of section exercises now begins with fill-in-the-blank exercises, helping students learn the definitions, rules, and theorems.
  • Cumulative review exercises at the end-of-section exercises are designed to keep current the skills learned in previous sections and chapters. These exercises are under the heading “Rethinking.”
  • Tying It All Together exercises have been expanded to include fill-in-the-blank vocabulary exercises.
  • Complex Numbers The section on Complex Numbers has been moved to the end of Chapter P so that it now follows the more basic review material on polynomial operations.
  • Polynomial and Rational Inequalities are now solved with one method, the test-point method.
  • Limit notation is now introduced and used to describe the asymptotic behavior of exponential, logarithmic, rational, and trigonometric functions.

Table of Contents

1. Equations, Inequalities, and Modeling

1.1 Equations in One Variable

1.2 Constructing Models to Solve Problems

1.3 Equations and Graphs in Two Variables

1.4 Linear Equations in Two Variables

1.5 Scatter Diagrams and Curve Fitting

1.6 Quadratic Equations

1.7 Linear and Absolute Value Inequalities

   Chapter 1 Highlights

   Chapter 1 Review Exercises

   Chapter 1 Test

   Tying it all Together

 

2. Functions and Graphs

2.1 Functions

2.2 Graphs of Relations and Functions

2.3 Families of Functions, Transformations, and Symmetry

2.4 Operations with Functions

2.5 Inverse Functions

2.6 Constructing Functions with Variation

   Chapter 2 Highlights

   Chapter 2 Review Exercises

   Chapter 2 Test

   Tying it all Together

 

3. Polynomial and Rational Functions

3.1 Quadratic Functions and Inequalities

3.2 Zeros of Polynomial Functions

3.3 The Theory of Equations

3.4 Miscellaneous Equations

3.5 Graphs of Polynomial Functions

3.6 Rational Functions and Inequalities

   Chapter 3 Highlights

   Chapter 3 Review Exercises

   Chapter 3 Test

   Tying it all Together

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Applications

4.2 Logarithmic Functions and Their Applications

4.3 Rules of Logarithms

4.4 More Equations and Applications

   Chapter 4 Highlights

   Chapter 4 Review Exercises

   Chapter 4 Test

   Tying it all Together

 

5. The Trigonometric Functions

5.1 Angles and Their Measurements

5.2 The Sine and Cosine Functions

5.3 The Graphs of the Sine and Cosine Functions

5.4 The Other Trigonometric Functions and Their Graphs

5.5 The Inverse Trigonometric Functions

5.6 Right Triangle Trigonometry

   Chapter 5 Highlights

   Chapter 5 Review Exercises

   Chapter 5 Test

   Tying it all Together

 

6. Trigonometric Identities and Conditional Equations

6.1 Basic Identities

6.2 Verifying Identities

6.3 Sum and Difference Identities

6.4 Double-Angle and Half-Angle Identities

6.5 Product and Sum Identities

6.6 Conditional Trigonometric Equations

   Chapter 6 Highlights

   Chapter 6 Review Exercises

   Chapter 6 Test

   Tying it all Together

 

7. Applications of Trigonometry

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Vectors

7.4 Trigonometric Form of Complex Numbers

7.5 Powers and Roots of Complex Numbers

7.6 Polar Coordinates (Equations???)

7.7 Parametric Equations

   Chapter 7 Highlights

   Chapter 7 Review Exercises

   Chapter 7 Test

   Tying it all Together

 

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 Nonlinear Systems of Equations

8.4 Partial Fractions

8.5 Inequalities and Systems of Inequalities in Two Variables

8.6 The Linear Programming Model

   Chapter 8 Highlights

   Chapter 8 Review Exercises

   Chapter 8 Test

   Tying it all Together

 

9. Matrices and Determinants

9.1 Solving Linear Systems Using Matrices

9.2 Operations with Matrices

9.3 Multiplication of Matrices

9.4 Inverses of Matrices

9.5 Solutions of Linear Systems in Two Variables Using Determinants

9.6 Solutions of Linear Systems in Three Variables Using Determinants

   Chapter 9 Highlights

   Chapter 9 Review Exercises

   Chapter 9 Test

   Tying it all Together

 

10. The Conic Sections

10.1 The Parabola

10.2 The Ellipse and the Circle

10.3 The Hyperbola

   Chapter 10 Highlights

   Chapter 10 Review Exercises

   Chapter 10 Test

   Tying it all Together

 

11. Sequences, Series, and Probability

11.1 Sequences

11.2 Series

11.3 Geometric Sequences and Series

11.4 Counting and Permutations

11.5 Combinations, Labeling, and the Binomial Theorem

11.6 Probability

11.7 Mathematical Induction

   Chapter 11 Highlights

   Chapter 11 Review Exercises

   Chapter 11 Test

Answers

Credits

Index of Applications

Index