Algebra and Trigonometry with Modeling & Visualization, 6th edition
- Gary K. Rockswold
Looking for your MyLab or Mastering eTextbook? Find it here
Learn more, spend less
- Listen on the go
Learn how you like with full eTextbook audio
- Find it fast
Quickly navigate your eTextbook with search
- Stay organized
Access all your eTextbooks in one place
- Easily continue access
Keep learning with auto-renew
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 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.
Published by Pearson (December 11th 2020) - Copyright © 2018
ISBN-13: 9780137399765
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
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
Your questions answered
Pearson+ is a one-stop shop for eTextbooks and Study & Exam Prep (also referred to as Channels), both designed to help students get better grades in college. eTextbooks and Study & Exam Prep can be purchased separately or together. eTextbooks have built-in tools that simplify studying, like flashcards, audiobook and search. Study & Exam Prep includes video lessons, practice problems, study guides, Q&A with experts and more, to help you understand tricky topics and get you prepared for test time — all in one place.
A Pearson eTextbook is an easy-to-use digital version of your assigned textbook. eTextbooks, available in Pearson+, give you access to upgraded study tools, including enhanced search, highlights and notes, customizable flashcards, and audio options for hand-free studying. Plus, you can learn on the go with the Pearson+ app.
Pearson+ offers an eTextbook rental, billed as a 6-month subscription. A subscription includes instant access to your eTextbook, including study tools such as the ability to create custom flash cards, take notes, and the option to search and highlight important info in your eTextbook. You can also bundle your eTextbook with Study & Exam Prep. When you check out, you can make a one-time, up-front payment for your eTextbook, or you can choose to pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 6-month subscription ends. If something happens and you need your eTextbook for longer than 6 months, select Extend subscription on the Manage subscription page in My account at any time to continue your subscription before it ends.
A Study & Exam Prep subscription includes video lessons, practice problems and other study tools. With a subscription, you'll get unlimited access to the full range of subjects:
When you purchase an eTextbook subscription, it will last 6 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends. If you extend your subscription, we'll automatically charge you every month. If you made a one-time payment for your initial 6-month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details. To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.
Channels, also referred to as Study & Exam Prep, is a video platform with thousands of explanations, solutions, and practice problems in 19 subjects to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI-powered summaries and a social community help you understand lessons from your class.
Channels doesn't replace traditional textbooks or eTextbooks. It's an additional tool to help you with your studies, and it can be used with Pearson textbooks or non-Pearson textbooks.
When you choose a Channels subscription, you're signing up for a 1-month, 3-month or 12-month term and you make an upfront payment for your subscription. By default, these subscriptions auto-renew at the frequency you select during checkout. You'll have access to the full video library across all 19 subjects once you've subscribed. You can bundle Channels (also referred to as Study & Exam Prep) with your eTextbook at the time of purchase. Bundle subscription terms vary. You can choose your subscription term and payment frequency at checkout.
When you purchase a Channels subscription, it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it. We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details. If your payment method fails, we'll send you an email with instructions for how to update it.