9780321826138

College Algebra with Modeling & Visualization

by
  • ISBN13:

    9780321826138

  • ISBN10:

    0321826132

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 12/21/2012
  • Publisher: Pearson

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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.

 

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

 

Author Biography

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.

Table 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. Systems of Equations and Inequalities

6.1 Functions and Systems of Equations in Two Variables

6.2 Systems of Inequalities in Two Variables

            Checking Basic Concepts for Sections 6.1 and 6.2

6.3 Systems of Linear Equations in Three Variables

6.4 Solutions to Linear Systems Using Matrices

            Checking Basic Concepts for Sections 6.3 and 6.4

6.5 Properties and Applications of Matrices

6.6 Inverses of Matrices

            Checking Basic Concepts for Sections 6.5 and 6.6

6.7 Determinants

            Checking Basic Concepts for Section 6.7

 

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Extended and Discovery Exercises

            Chapters 1-6 Cumulative Review Exercises

 

7. Conic Sections

7.1 Parabolas

7.2 Ellipses

            Checking Basic Concepts for Sections 7.1 and 7.2

7.3 Hyperbolas

            Checking Basic Concepts for Section 7.3

 

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Extended and Discovery Exercises

 

8. Further Topics in Algebra

8.1 Sequences

8.2 Series

            Checking Basic Concepts for Sections 8.1 and 8.2

8.3 Counting

8.4 The Binomial Theorem

            Checking Basic Concepts for Sections 8.3 and 8.4

8.5 Mathematical Induction

8.6 Probability

            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

 

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

 

Bibliography

Answers to Selected Exercises

Photo Credits

Index of Applications

Index

Rewards Program

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