[Ebook PDF] Beginning and Intermediate Algebra with Applications & Visualization, 4th Edition

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Beginning and Intermediate Algebra with Applications & Visualization, 4th Edition

ISBN-13: 978-0134474304
ISBN-10: 0134474309

Author: Gary K. Rockswold (Author), Terry A. Krieger (Author)

The Rockswold/Krieger algebra series fosters conceptual understanding by developing concepts in context through the use of applications, multiple representations, and visualization. By seeing the concept in context before being given the the mathematical abstraction, students make math part of their own experiences instead of just memorizing techniques. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life. The new edition continues to bring concepts to life with even more opportunities for students to visualize the math in real-world contexts-–and so, learn key critical-thinking and problem-solving skills-–with new features in the text and MyLab^™ Math.

PREFACE
Beginning and Intermediate Algebra with Applications and Visualization, Fourth Edition, gives meaning to the numbers that students encounter by developing concepts in context through the use of applications, multiple representations, and visualization.
By seeing the concept in context before being given the mathematical abstraction, students make math part of their own experiences instead of just memorizing techniques. Research shows that this method is essential to empowering students. Seamlessly integrated real-life connections, graphs, tables, charts, and meaningful data help students deepen understanding and prepare for future math courses—and life—by teaching them critical thinking and problem-solving skills.
By adding new design features and reworking existing content in this text, we increased the amount of content that is delivered in a real-world context. We made the text more accessible by replacing paragraphs of text with visual information. Recognizing that many users want a customizable text, we put new emphasis on clearly identifying objectives and content in both the exposition and the exercise sets.
It is essential that all students achieve competency in mathematics so that they can realize their vocational dreams and contribute to society. A purely traditional/abstract approach to teaching math does not work for most of today’s students, and it has led to exclusivity.
Our approach promotes inclusivity and diversity within the discipline and beyond. Our goal in Beginning and Intermediate Algebra with Applications and Visualization is to help all students succeed.
This textbook is one part of our comprehensive program:
■ Prealgebra
■ Beginning Algebra with Applications and Visualization, Third Edition
■ Beginning & Intermediate Algebra with Applications and Visualization, Fourth Edition
■ Intermediate Algebra with Applications and Visualization, Fifth Edition
■ Developmental Math with Applications and Visualization: Prealgebra, Beginning Algebra, and Intermediate Algebra, Second Edition
■ MyMathLab for Interactive Developmental Mathematics
New To This Edition
We enriched our program—the text, the supplements, and MyMathLab—in the following areas to enhance our support for conceptual understanding. See also Resources for Success: MyMathLab online course (pp. xx–xxii) for additional information.
■ Section Introduction Videos Every section in the text is now coupled with a short video (in MyMathLab) that introduces the section’s concepts in a contextual setting.
■ See the Concept Throughout the text, we replaced paragraphs of text with clearly labeled infographics that visually—and concisely—walk students through concepts. Every See the Concept in the text has a companion video in MyMathLab to help bring the concept to life.
■ Assignable Content To assess student understanding when they encounter new material, many text features are assignable in MyMathLab, including every Section Introduction Video and See the Concept Video and the majority of the Reading Checks, Making Connections, and Critical Thinking features.
■ Math in Context Students are more engaged when mathematics is tied to current and relevant topics. This new feature helps students recognize when and how math is used in the real world.
■ Connecting Concepts with Your Life Students are often already equipped with the knowledge needed to understand a new concept. Our new Connecting Concepts with Your Life feature gives meaning to mathematics by relating common life experiences that students already understand.
■ Objective List At the beginning of each section, we list objectives to give a clear outline of the section contents and to make it easier to customize the course.
■ Comment Balloons When appropriate, comments were inserted next to steps and procedures to make them more (immediately) understandable. Now students don’t always have to read a paragraph of text to understand the concept.
■ Modeling Data The data in hundreds of exercises and examples were updated to keep the applications relevant and fresh. Each chapter opens with a real-data application, and many new examples were added, including discussions about the Internet, social networks, tablet computers, and other contemporary topics.
■ Guided Workbook Keyed to the text by section and objective, the Workbook leads students through the course, giving them the opportunity to record key information, work practice problems, and show and keep their work for reference—as well as taking conceptual understanding one step further by asking students to explain “Why?” after select questions.
Refinement of Content
CHAPTER 1: New exercises were added throughout the chapter, with an emphasis on expanding the coverage of translating words to expressions and identifying parts of a fraction.
CHAPTER 2: A completely new section on unit analysis was added. At the request of reviewers, inequality answers now include interval notation. Over 50 new exercises were also added throughout the chapter, with an emphasis on linear equations and their solutions.
CHAPTER 3: New examples and exercises were added to cover graphing nonlinear equations by hand. Also, at the request of reviewers, intercepts are now identified as ordered pairs rather than a real number.
CHAPTER 4: Supply and demand examples and exercises involving systems of linear equations were added to this chapter.
CHAPTER 5: The exercises pertaining to rules for exponents were expanded and more clearly categorized in the exercise sets.
CHAPTER 6: New examples and exercises that require students to rearrange terms before factoring by grouping were added to this chapter.
CHAPTER 7: The description of least common multiple now includes a more visual, contextual explanation involving the listing method.
CHAPTER 8: We put more emphasis on solving absolute value inequalities symbolically. A new objective that more fully discusses the concept of a relation was inserted before the definition of a function, and exercises were added that give students practice differentiating between relations and functions. Also, a new objective on piecewise-defined functions was added in Section 8.3, with corresponding exercises in both Sections 8.3 and 8.4.
CHAPTER 9: New exercises that ask students to represent simple social networks with matrices were added to this chapter.
CHAPTER 10: The coverage of using zeros to write the formula for a function was expanded in Sections 10.5 and 10.7.
CHAPTER 11: A new graphical description for deriving the formula to find the vertex of a parabola is now included. Also, a real-world example was added to highlight a common situation in which a quadratic equation might have zero, one, or two solutions. This chapter additionally includes increased coverage of complex solutions to quadratic equations.
CHAPTER 12: A discussion connecting social network posts with half-life and exponential decay is now included to give students a relevant and accessible example of this important concept. At the request of reviewers, we expanded the coverage of changing between exponential and logarithmic forms of equations.
CHAPTER 13: New exercises involving the equation of a circle were added.
CHAPTER 14: In this final chapter, the coverage of writing a formula for a sequence from given terms of the sequence was increased.