College Algebra with Modeling and Visualization, 6th edition

Published by Pearson (January 10, 2017) © 2018

  • Gary K. Rockswold Minnesota State University, Mankato

Paperback + Student Resources

ISBN-13: 9780134418162
Student Solutions Manual for College Algebra with Modeling and Visualization
Published 2017

This product is expected to ship within 3-6 business days for US and 5-10 business days for Canadian customers.

Title overview

For courses in College Algebra.

Develop concepts in context

College Algebra with Modeling and Visualization shows students why math matters. It presents the concept of a function as a unifying theme, with an emphasis on the rule of 4 (verbal, graphical, numerical, and symbolic representations). Students learn the concepts in the context of the world they know, leading to better understanding and retention. From there, the author shows a connection between application, modeling, and visualization.

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.

Table of contents

1. Introduction to Functions and Graphs

  • 1.1 Numbers, Data, and Problem Solving
  • 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
  • Summary
  • Review Exercises
  • 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
  • Summary
  • Review Exercises
  • 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 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
  • Summary
  • Review Exercises
  • 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
  • Summary
  • Review Exercises
  • 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
  • Summary
  • Review Exercises
  • 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
  • Summary
  • Review Exercises
  • 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
  • Summary
  • Review Exercises
  • 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
  • Summary
  • Review Exercises
  • 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

Appendices

  • A: Collaborative Activities
  • B: A Library of Functions
  • C: Partial Fractions
  • D: Percent Change and Exponential Functions

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