Overview

For courses in Precalculus Mathematics.   Showing why math matters Gary Rockswold doesn’t just mention real-world examples; he teaches mathematical concepts through those applications. For example, if we look at Facebook usage over time, what might that tell us about linear growth and predictions? In this way, students learn the concepts in the context of the world they know, which leads to better understanding and retention. From there, the author shows a connection between application, modeling, and visualization. Rockswold is known for presenting the concept of a function as a unifying theme, with an emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). The 6th Edition emphasizes conceptual understanding with new in-chapter features and assignment options, while at the same time providing tools to empower instructors to make their classroom more active through collaboration and group work.   Also available with MyLab Math MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The 6th Edition continues to expand the comprehensive auto-graded exercise options. The pre-existing exercises were carefully reviewed, vetted, and improved using aggregated student usage and performance data over time. In addition, MyLab Math  includes new options to support conceptual learning, visualization, and student preparedness. Students, if interested in purchasing this title with MyLab Math , ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Full Product Details

Author:   Gary Rockswold
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   6th edition
Dimensions:   Width: 22.10cm , Height: 4.60cm , Length: 27.90cm
Weight:   2.427kg
ISBN:  

9780134418032

ISBN 10:   0134418034
Pages:   1184
Publication Date:   20 January 2017
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Introduction to Functions and Graphs 1.1 Numbers, Data, and Problem Solving 1.2 Visualizing and Graphing Data                Checking Basic Concepts for Sections 1.1 and 1.2 1.3 Functions and Their Representations 1.4 Types of Functions and Their Rates of Change                Checking Basic Concepts for Sections 1.3 and 1.4                  Chapter 1 Summary                Chapter 1 Review Exercises                Chapter 1 Extended and Discovery Exercises   2. Linear Functions and Equations 2.1 Equations of Lines 2.2 Linear Equations                Checking Basic Concepts for Sections 2.1 and 2.2 2.3 Linear Inequalities 2.4 More Modeling with Functions                Checking Basic Concepts for Sections 2.3 and 2.4 2.5 Absolute Value Equations and Inequalities                Checking Basic Concepts for Section 2.5                Chapter 2 Summary                  Chapter 2 Review Exercises                Chapter 2 Extended and Discovery Exercises                Chapters 1-2 Cumulative Review Exercises   3. Quadratic Functions and Equations 3.1 Quadratic Functions and Models 3.2 Quadratic Equations and Problem Solving                Checking Basic Concepts for Sections 3.1 and 3.2 3.3 Complex Numbers 3.4 Quadratic Inequalities                Checking Basic Concepts for Sections 3.3 and 3.4 3.5 Transformations of Graphs                Checking Basic Concepts for Section 3.5                  Chapter 3 Summary                Chapter 3 Review Exercises                Chapter 3 Extended and Discovery Exercises   4. More Nonlinear Functions and Equations 4.1 More Nonlinear Functions and Their Graphs 4.2 Polynomial Functions and Models                Checking Basic Concepts for Sections 4.1 and 4.2 4.3 Division of Polynomials 4.4 Real Zeros of Polynomial Functions                Checking Basic Concepts for Sections 4.3 and 4.4 4.5 The Fundamental Theorem of Algebra 4.6 Rational Functions and Models                Checking Basic Concepts for Sections 4.5 and 4.6 4.7 More Equations and Inequalities 4.8 Radical Equations and Power Functions                Checking Basic Concepts for Sections 4.7 and 4.8                  Chapter 4 Summary                Chapter 4 Review Exercises                Chapter 4 Extended and Discovery Exercises                Chapters 1-4 Cumulative Review Exercises   5. Exponential and Logarithmic Functions 5.1 Combining Functions 5.2 Inverse Functions and Their Representations                Checking Basic Concepts for Sections 5.1 and 5.2 5.3 Exponential Functions and Models 5.4 Logarithmic Functions and Models                Checking Basic Concepts for Sections 5.3 and 5.4 5.5 Properties of Logarithms 5.6 Exponential and Logarithmic Equations                Checking Basic Concepts for Sections 5.5 and 5.6 5.7 Constructing Nonlinear Models                Checking Basic Concepts for Section 5.7                  Chapter 5 Summary                Chapter 5 Review Exercises                Chapter 5 Extended and Discovery Exercises   6. Trigonometric Functions 6.1 Angles and Their Measure 6.2 Right Triangle Trigonometry                Checking Basic Concepts for Sections 6.1 and 6.2 6.3 The Sine and Cosine Functions and Their Graphs 6.4 Other Trigonometric Functions and Their Graphs                Checking Basic Concepts for Sections 6.3 and 6.4 6.5 Graphing Trigonometric Functions 6.6 Inverse Trigonometric Functions                Checking Basic Concepts for Sections 6.5 and 6.6                  Chapter 6 Summary                Chapter 6 Review Exercises                Chapter 6 Extended and Discovery Exercises                Chapters 1-6 Cumulative Review Exercises   7. Trigonometric Identities and Equations 7.1 Fundamental Identities 7.2 Verifying Identities                Checking Basic Concepts for Sections 7.1 and 7.2 7.3 Trigonometric Equations 7.4 Sum and Difference Identities                Checking Basic Concepts for Sections 7.3 and 7.4 7.5 Multiple-Angle Identities                Checking Basic Concepts for Section 7.5                  Chapter 7 Summary                Chapter 7 Review Exercises                Chapter 7 Extended and Discovery Exercises   8. Further Topics in Trigonometry 8.1 Law of Sines 8.2 Law of Cosines                Checking Basic Concepts for Sections 8.1 and 8.2 8.3 Vectors 8.4 Parametric Equations                Checking Basic Concepts for Sections 8.3 and 8.4 8.5 Polar Equations 8.6 Trigonometric Form and Roots of Complex Numbers                Checking Basic Concepts for Sections 8.5 and 8.6                  Chapter 8 Summary                Chapter 8 Review Exercises                Chapter 8 Extended and Discovery Exercises                Chapters 1-8 Cumulative Review Exercises   9. Systems of Equations and Inequalities 9.1 Functions and Systems of Equations in Two Variables 9.2 Systems of Inequalities in Two Variables                Checking Basic Concepts for Sections 9.1 and 9.2   9.3 Systems of Linear Equations in Three Variables 9.4 Solutions to Linear Systems Using Matrices                Checking Basic Concepts for Sections 9.3 and 9.4   9.5 Properties and Applications of Matrices 9.6 Inverses of Matrices                Checking Basic Concepts for Sections 9.5 and 9.6 9.7 Determinants                Checking Basic Concepts for Section 9.7                  Chapter 9 Summary                Chapter 9 Review Exercises                Chapter 9 Extended and Discovery Exercises                Chapters 1-9 Cumulative Review Exercises   10. Conic Sections 10.1 Parabolas 10.2 Ellipses                Checking Basic Concepts for Sections 10.1 and 10.2 10.3 Hyperbolas                Checking Basic Concepts for Section 10.3                  Chapter 10 Summary                Chapter 10 Review Exercises                Chapter 10 Extended and Discovery Exercises   11. Further Topics in Algebra 11.1 Sequences 11.2 Series                Checking Basic Concepts for Sections 11.1 and 11.2 11.3 Counting 11.4 The Binomial Theorem                Checking Basic Concepts for Sections 11.3 and 11.4 11.5 Mathematical Induction 11.6 Probability                Checking Basic Concepts for Sections 11.5 and 11.6                  Chapter 11 Summary                Chapter 11 Review Exercises                Chapter 11 Extended and Discovery Exercises                Chapters 1-11 Cumulative Review Exercises   R. Reference: Basic Concepts from Algebra and Geometry R.1 Formulas from Geometry R.2 Integer Exponents R.3 Polynomial Expressions R.4 Factoring Polynomials R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 Radical Expressions   Appendix A: Using the Graphing Calculator Appendix B: A Library of Functions Appendix C: Partial Fractions Appendix D: Percent Change and Exponential Functions Appendix E: Rotation of Axes   Bibliography Answers to Selected Exercises Photo Credits Index of Applications Index  

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Author Information

Gary Rockswold has taught mathematics, computer science, and physical science at a wide variety of levels, including high school, undergraduate, and graduate students for over 30 years. He received his bachelor’s degree from St. Olaf College and his Ph.D. in applied mathematics from Iowa State University. He has been a principal investigator of parallel computing at the Minnesota Supercomputer Institute and is an emeritus professor of mathematics at Minnesota State University, Mankato. He is an author and has published numerous mathematics textbooks for Pearson Education at both the developmental and collegiate levels. His motivation for writing is to make mathematics more inclusive for a greater number of students by presenting mathematics in a contextual, meaningful way.

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