Precalculus with Modeling & Visualization plus NEW MyMathLab with Pearson eText -- Access Card Package

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. 0321900456 / 9780321900456 Algebra and Trigonometry with Modeling & Visualization Plus MyMathLab with Pearson eText - Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321826124 / 9780321826121 Algebra and Trigonometry with Modeling & Visualization

List of 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

About the author

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.

Summary

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.
 
Incorporating MyMathLab^® prepares students for success and makes them think more visually, critically, and conceptually. Within the MyMathLab course, Getting Ready integrated review allows students to remediate "just-in-time," with prerequisite material. Video assessment questions help students have a more meaningful experience with the concepts presented. Also, interactive figures allow students to visualize difficult topics.

Product details

• Authors: Terry A. Krieger, Gary K. Rockswold, Jessica C. Rockswold
• Publisher: Pearson Academic
• Languages: English
• Product format: Mixed media product
• Released: 01.01.2013
• EAN: 9780321900449
• ISBN: 978-0-321-90044-9
• Weight: 2310 g
• Series: Addison-Wesley; Addison-Wesley
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra