Precalculus with Modeling and Visualization
$213.32
| Title | Range | Discount |
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| Trade Discount | 5 + | 25% |
- Description
- Additional information
Description
Personalize learning 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. For the 6th Edition, “See the Concept,” “Getting Ready,” and “Putting It All Together” questions are now rendered and can be assigned in MyLab Math. Video assessment questions help students have a more meaningful experience with the concepts presented, and interactive figures allow students to visualize difficult topics.
- See the Concept videos bring key concepts in the text to life and allow students to benefit from seeing the math worked out. Videos are also integrated throughout the eText for immediate access when students need it most and are available in the Multimedia Library for easy in-class use. Each See the Concept video now has an accompanying MyLab Math assessment question, making these videos truly assignable .
- NEW! Set Up & Solve exercises require students to show the setup of the solution for a particular exercise as well as the solution, helping them develop an overall problem-solving strategy before attempting the solution. These align with the in-chapter examples that include Getting Started steps.
- Putting It All Together at the end of every section summarizes techniques and reinforces the mathematical concepts presented in the section in an easy-to-follow grid. For the 6th Edition, Putting It All Together questions are assignable in MyLab Math as conceptual questions, asking students to classify, sort, categorize, or order mathematical expressions, graphs, and terms.
- Foster student engagement and peer-to-peer learning
- NEW! Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
- Upload a full PowerPoint® deck for easy creation of slide questions.
- Team names are no longer case sensitive.
- Help your students develop critical thinking skills.
- Monitor responses to find out where your students are struggling.
- Rely on real-time data to adjust your teaching strategy.
- Automatically group students for discussion, teamwork, and peer-to-peer learning.
About the Book
- See the Concept boxes are a hallmark feature, allowing students to make important connections by walking them through detailed visualizations. Students use graphs, tables, and diagrams to learn new concepts in a concise and efficient way. New to the 6th Edition, See the Concept Videos in MyLab Math bring key concepts to life and are assignable via assessment questions.
- New Exercise Types emphasize conceptual understanding and connections to calculus.
- Critical Thinking exercises ask students to take a mathematical concept a step further than what is discussed in the text. They challenge students to think beyond the pages of the book.
- Interpret & Analyze in Context exercises indicate where students need to interpret or analyze math used to describe real life.
- Checking Symbolic Skills exercises provide a preview into important topics that students will see again in calculus.
- 8 New Collaborative Activities, developed by the author as Appendix A,
NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLabTM or MasteringTM, several versions may exist for each title — including customized versions for individual schools — and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.
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
MyLabTM 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.
Note: You are purchasing a standalone product; MyLabTM does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab, search for:
013443563X / 9780134435633 Precalculus with Modeling & Visualization, Books a la Carte Edition plus MyLab Math with eText — Access Card Package, 6/e
Package consists of:
- 013441862X / 9780134418629 Precalculus with Modeling & Visualization, Books a la Carte Edition
- 0321262522 / 9780321262523 MyLab Math — Valuepack Access Card
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
NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.
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.
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.
About the Book
- 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 visualizations. Students use graphs, tables, and diagrams to learn new concepts in a concise and efficient way. New to the 6th Edition, See the Concept Videos in MyLab™ Math bring key concepts to life and are assignable via assessment questions.
- 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. In the 6th Edition, these are assignable in MyLab Math with the new Set Up & Solve exercises.
- 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 synthesize 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! By using data to inform this revision–aggregated student usage and performance data in MyLab Math over time–the author was able to adjust exercise difficulty levels, add coverage in the text and in MyLab Math, and ensure a smooth progression from simpler to more challenging exercises.
- 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.
- Teach at students’ varying skill levels with author and MyLab Math offerings.
- NEW! Integrated Review options offer additional practice for relevant intermediate algebra topics, to ensure that more students are successful in their Precalculus course. In addition to the Guided Notebook with Integrated Review Worksheets mentioned above, MyLab Math offers an Integrated Review course for this title, which leverages personalized learning to bring underprepared students up to speed for college algebra.
- Chapter R, Reference contains review material from intermediate algebra and basic geometry courses. This material is referenced by Algebra Review and Geometry Review margin notes. The feature frees instructors from having to frequently review materials from prior courses and connects to optional “Getting Ready” assignments in MyLab Math.
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.
- NEW! MyLab Math Question Types enable students to develop and gauge their conceptual understanding.
- NEW! See the Concept videos bring key concepts to life and allow students to see the math worked out. Videos are integrated within the eText and available in the multimedia library for easy in-class use. Each video now has an accompanying MyLab Math assessment question, making these truly assignable.
- NEW! Set Up & Solve exercises require students to show the setup of the solution for a particular exercise as well as the solution, helping them develop an overall problem-solving strategy before attempting the solution. These align with the in-chapter examples that include Getting Started steps.
- NEW! Putting It All Together questions, based on the end-of-section grids that summarize techniques and concepts, these new questions ask students to classify, sort, categorize, or order mathematical expressions, graphs, and terms.
- Students enter the course with widely varying skill levels, so MyLab Math includes personalized support and targeted practice to help all students succeed.
- NEW! Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
- NEW! Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus.
- Getting Ready material provides just-in-time review, integrated throughout the course as needed to prepare students with prerequisite material to succeed. From a quick quiz, a personalized, just-in-time review assignment is generated for each student, allowing them to refresh forgotten concepts.
- Integrated Review MyLab Math courses provide a full suite of supporting resources for the main course content plus additional assignments and study aids for students who will benefit from remediation. Assignments for the integrated review content are preassigned in MyLab Math, making it easier than ever to create your course!
- Develop visualization skills and leverage those skills to deepen students’ understanding of the concepts
- Guided Visualizations enable users to interact with and manipulate figures to bring hard-to-convey math concepts to life. These are assignable in MyLab Math, integrated in the eText, and available to show in-class with accompanying Exploratory Exercises in the Multimedia Library.
- Enhanced Graphing Utility allows students to graph 3-point quadratic, 4-point cubic, and transformation graphs (which include sine, cosine, logarithmic, and exponential functions). These new graphing questions are assignable in MyLab Math.
- Easier course set-up for instructors
- NEW! Enhanced Sample Assignments make course set-up easier by giving instructors a starting point for each chapter. Each assignment, handpicked by the author, includes a thoughtful mix of question types (e.g., conceptual, skills, etc.) specific to that topic.
- Foster student engagement and peer-to-peer learning
- NEW! Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
- Upload a full PowerPoint® deck for easy creation of slide questions.
- Team names are no longer case sensitive.
- Help your students develop critical thinking skills.
- Monitor responses to find out where your students are struggling.
- Rely on real-time data to adjust your teaching strategy.
- Automatically group students for discussion, teamwork, and peer-to-peer learning.
Additional information
| Dimensions | 1.60 × 8.50 × 10.90 in |
|---|---|
| Imprint | |
| Format | |
| ISBN-13 | |
| ISBN-10 | |
| Author | |
| Subjects | mathematics, higher education, Precalculus |
