Algebra and Trigonometry with Modeling & Visualization eBook (6e) : 9780134441801

Algebra and Trigonometry with Modeling & Visualization eBook (6e)

Published by
Pearson Higher Ed USA
Title type
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About the book: For courses in Algebra and Trigonometry. 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.

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Table of contents
  • 1. Introduction to Functions and Graphs
  • 2. Linear Functions and Equations
  • 3. Quadratic Functions and Equations
  • 4. More Nonlinear Functions and Equations
  • 5. Exponential and Logarithmic Functions
  • 6. Trigonometric Functions
  • 7. Trigonometric Identities and Equations
  • 8. Further Topics in Trigonometry
  • 9. Systems of Equations and Inequalities
  • 10. Conic Sections
  • 11. Further Topics in Algebra
  • R. Reference: Basic Concepts from Algebra and Geometry
  • 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
Features & benefits
  • Draw students in with a real example to set up and teach the core precalculus topics
    • Applications keep the text relevant for students with contemporary examples that draw from a variety of real data and enable students to see the relevance of math, helping them to become more effective problem-solvers.
    • UPDATED! Hundreds of application examples and exercises have been updated to bring timely meaning and relevance to the mathematics.          
  • Move students beyond isolated skills by emphasizing conceptual understanding.
    • NEW! See the Concept boxes are a hallmark feature, allowing students to make important connections by walking them through detailed visualisations. Students use graphs, tables, and diagrams to learn new concepts in a concise and efficient way.
    • Making Connections features show how concepts throughout the course are interrelated by pointing out connections between previously learned material and new material.
    • NEW! For examples that require multi-step solutions, the author builds in Getting Started pointers, which help students develop an overall problem-solving strategy before they begin writing a detailed solution.
  • Provide a more active or flipped classroom with new opportunities for collaborative learning and in-class group work.
    • NEW! 8 New Collaborative Activities, developed by the author as Appendix A, follow a project-based learning approach. Students actively explore real-world challenges and apply what they know to produce results that matter. Some activities focus on a specific concept while others span multiple concepts, requiring students to synthesise their knowledge.
    • NEW! The Guided Notebook with Integrated Review Worksheets is ideal for flipped classrooms or any class looking to incorporate more group work and activities. Authored by Laura J. Younts (Santa Fe College) as a one-stop-shop for student engagement, each section contains a structured lecture outline that students fill in during lecture, followed by a group activity to complete in class. It also includes reflection sections to let students record questions they have, space for the work to be done at home, and extended projects for most chapters. Also included are Integrated Review worksheets, which offer additional practice exercise of intermediate algebra topics with ample space for students to show their work. 
  • Tailor assignments to instructor course approach and problem-solving support to student learning with a wide variety of assignment options.
    • New! Over 600 new exercises were added to the 6th Edition, giving students even more abundant opportunities for practice and review. Each set of exercises covers skill building, mathematical concepts, and applications.  Graphical interpretation and tables of data are often used to extend students’ understanding of mathematical concepts. Additional exercise sets include Word problems, Checking Basic Concepts, Chapter Review Exercises, Extended and Discovery Exercises, and Writing About Mathematics. 
    • NEW! Additional exercise types lend more flexibility for instructors, including Critical Thinking exercises and Interpret & Analyze in Context exercises that ask students to interpret math used in real life. Checking Symbolic Skills exercises provide a preview into important topics that students will see again in calculus.
    • Cumulative Reviews, which appear every few chapters, require students to understand and use multiple skills from different chapters. This is an excellent test of comprehension of key concepts.
  • Robust, built-in study aids ensure that each chapter is designed as a study tool.
    • “Now Try” exercise suggestions follow every example, allowing students to immediately reinforce the concepts as they are reading.
    • Comment Boxes allow graphs, tables, and symbolic explanations to be labeled in such a way that a concept is easier to understand. The explanation is now tied closely to a graph, table, or equation.
    • Chapter Summary Grids allow students to review quickly with an easy-to-read grid format, listing the Concept and providing an Explanation and Example.  Comprehensive end-of-chapter material serves as an excellent resource for extra practice and test preparation. Each chapter concludes with a summary of key concepts, Review Exercises, and Extended and Discovery Exercises.
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