# Precalculus with Modeling & Visualization (5th edition)

By: Gary K. Rockswold (author)Hardback

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### Description

By connecting applications, modeling, and visualization, Gary Rockswold motivates students to learn mathematics in the context of their experiences. In order to both learn and retain the material, students must see a connection between the concepts and their real lives. In this new edition, connections are taken to a new level with "See the Concept" features, where students make important connections through detailed visualizations that deepen understanding. Rockswold is also 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). A flexible approach allows instructors to strike their own balance of skills, rule of four, applications, modeling, and technology.

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Dr. Gary Rockswold has taught mathematics for 25 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate and graduate students, and adult education classes. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his wife and two children.

### 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. 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

### Product Details

• ISBN13: 9780321826022
• Format: Hardback
• Number Of Pages: 1120
• ID: 9780321826022
• weight: 2306
• ISBN10: 0321826027
• edition: 5th edition

### Delivery Information

• Saver Delivery: Yes
• 1st Class Delivery: Yes
• Courier Delivery: Yes
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