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Intermediate Algebra with Applications & Visualization, 5th edition

Published by Pearson (January 1, 2021) © 2018

  • Gary K. Rockswold Minnesota State University, Mankato
  • Terry A. Krieger Rochester Community and Technical College
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For courses in Intermediate Algebra.

The Rockswold/Krieger algebra series fosters conceptual understanding by developing concepts in context through the use of applications, multiple representations, and visualization. By seeing the concept in context before being given the the mathematical abstraction, students make math part of their own experiences instead of just memorizing techniques. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life. The new edition continues to bring concepts to life with even more opportunities for students to visualize the math in real-world contexts-–and so, learn key critical-thinking and problem-solving skills-–with new features in the text and 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 5th Edition continues to help students develop conceptual understanding and bring key concepts to life with content and assignments that reflect the authors’ approach, including new Section Introduction videos and See the Concept videos with assessment. New Skill Builder assignments offer adaptive practice to build students’ foundational skills, and new workspace assignments allow students to show their mathematical reasoning as they progress step-by-step, with specific feedback at each step in the problem-solving process that adjusts to their path. 

1. Real Numbers and Algebra

1.1 Describing Data with Sets of Numbers

1.2 Operations on Real Numbers

1.3 Integer Exponents

1.4 Variables, Equations, and Formulas

1.5 Introduction to Graphing

 

2. Linear Functions and Models

2.1 Functions and Their Representations

2.2 Linear Functions

2.3 The Slope of a Line

2.4 Equations of Lines and Linear Models

 

3. Linear Equations and Inequalities

3.1 Linear Equations

3.2 Introduction to Problem Solving

3.3 Linear Inequalities

3.4 Compound Inequalities and Piecewise-Defined Functions

3.5 Absolute Value Equations and Inequalities

 

4. Systems of Linear Equations

4.1 Systems of Linear Equations in Two Variables

4.2 The Substitution and Elimination Methods

4.3 Systems of Linear Inequalities

4.4 Introduction to Linear Programming

4.5 Systems of Linear Equations in Three Variables

4.6 Matrix Solutions of Linear Systems

4.7 Determinants

 

5. Polynomial Expressions and Functions

5.1 Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Factoring Polynomials

5.4 Factoring Trinomials

5.5 Special Types of Factoring

5.6 Summary of Factoring

5.7 Polynomial Equations

 

6. Rational Expressions and Functions

6.1 Introduction to Rational Functions and Equations

6.2 Multiplication and Division of Rational Expressions

6.3 Addition and Subtraction of Rational Expressions

6.4 Rational Equations

6.5 Complex Fractions

6.6 Modeling with Proportions and Variation

6.7 Division of Polynomials

 

7. Radical Expressions and Functions

7.1 Radical Expressions and Functions

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Operations on Radical Expressions

7.5 More Radical Functions

7.6 Equations Involving Radical Expressions

7.7 Complex Numbers

 

8. Quadratic Functions and Equations

8.1 Quadratic Functions and Their Graphs

8.2 Transformations and Translations of Parabolas

8.3 Quadratic Equations

8.4 The Quadratic Formula

8.5 Quadratic Inequalities

8.6 Equations in Quadratic Form

 

9. Exponential and Logarithmic Functions

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Exponential and Logarithmic Equations

 

10. Conic Sections

10.1 Parabolas and Circles

10.2 Ellipses and Hyperbolas

10.3 Nonlinear Systems of Equations and Inequalities

 

11. Sequences and Series

11.1 Sequences

11.2 Arithmetic and Geometric Sequences

11.3 Series

11.4 The Binomial Theorem

 

Appendix A: Using the Graphing Calculator

Appendix B: Sets

 

 

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