Overview

For courses in College Algebra.    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 visualisation. 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 emphasises 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.

Full Product Details

Author:   Gary Rockswold
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   6th edition
Dimensions:   Width: 22.40cm , Height: 3.30cm , Length: 27.70cm
Weight:   1.790kg
ISBN:  

9780134418049

ISBN 10:   0134418042
Pages:   896
Publication Date:   12 March 2018
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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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. Systems of Equations and Inequalities 6.1 Functions and Systems of Equations in Two Variables 6.2 Systems of Inequalities in Two Variables                Checking Basic Concepts for Sections 6.1 and 6.2 6.3 Systems of Linear Equations in Three Variables 6.4 Solutions to Linear Systems Using Matrices                Checking Basic Concepts for Sections 6.3 and 6.4 6.5 Properties and Applications of Matrices 6.6 Inverses of Matrices                Checking Basic Concepts for Sections 6.5 and 6.6 6.7 Determinants                Checking Basic Concepts for Section 6.7                  Chapter 6 Summary                Chapter 6 Review Exercises                Chapter 6 Extended and Discovery Exercises                Chapters 1-6 Cumulative Review Exercises   7. Conic Sections 7.1 Parabolas 7.2 Ellipses                Checking Basic Concepts for Sections 7.1 and 7.2 7.3 Hyperbolas                Checking Basic Concepts for Section 7.3                  Chapter 7 Summary                Chapter 7 Review Exercises                Chapter 7 Extended and Discovery Exercises   8. Further Topics in Algebra 8.1 Sequences 8.2 Series                Checking Basic Concepts for Sections 8.1 and 8.2 8.3 Counting 8.4 The Binomial Theorem                Checking Basic Concepts for Sections 8.3 and 8.4 8.5 Mathematical Induction 8.6 Probability                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   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: Collaborative Activities Appendix B: A Library of Functions Appendix C: Partial Fractions Appendix D: Percent Change and Exponential Functions   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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