College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 6th edition

Published by Pearson (September 1, 2020) © 2021

  • Ronald J. Harshbarger University of South Carolina - Beaufort
  • Lisa S. Yocco East Georgia State College

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ISBN-13: 9780136880899 (2020 update)
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College Algebra in Context with Applications for the Managerial, Life, and Social Sciences covers mathematics from the classroom to career, emphasizing problem solving in meaningful settings. The authors use modeling, applications and real-data problems to develop the skills you will need to become adept problem solvers in your future courses and career. In the 6th Edition, the Algebra Toolbox feature has been strengthened and expanded to reflect corequisite course content. More specific Excel steps have been added within the text's Spreadsheet Solutions, with references to an appendix for more details. New Preparing for Calculus sections in Chapters 1-6 provide problems that demonstrate how you can use your new knowledge in a calculus course.

1. Functions, Graphs, and Models; Linear Functions

  • Algebra Toolbox
  • 1-1 Functions and Models
  • 1-2 Graphs of Functions
  • 1-3 Linear Functions
  • 1-4 Equations of Lines
  • Preparing for Calculus
  • Summary
  • Key Concepts and Formulas
  • Chapter 1 Skills Check
  • Chapter 1 Review
  • Group Activities/Extended Applications

2. Linear Models, Equations, and Inequalities

  • Algebra Toolbox
  • 2-1 Algebraic and Graphical Solution of Linear Equations
  • 2-2 Fitting Lines to Data Points: Modeling Linear Functions
  • 2-3 Systems of Linear Equations in Two Variables
  • 2-4 Solutions of Linear Inequalities
  • Preparing for Calculus
  • Summary
  • Key Concepts and Formulas
  • Chapter 2 Skills Check
  • Chapter 2 Review
  • Group Activities/Extended Applications

3. Quadratic, Piecewise-Defined, and Power Functions

  • Algebra Toolbox
  • 3-1 Quadratic Functions; Parabolas
  • 3-2 Solving Quadratic Equations
  • 3-3 Power and Root Functions
  • 3-4 Piecewise-Defined Functions and Power Functions
  • 3-5 Quadratic and Power Models
  • Preparing for Calculus
  • Summary
  • Key Concepts and Formulas
  • Chapter 3 Skills Check
  • Chapter 3 Review
  • Group Activities/Extended Applications

4. Additional Topics with Functions

  • Algebra Toolbox
  • 4-1 Transformations of Graphs and Symmetry
  • 4-2 Combining Functions; Composite Functions
  • 4-3 One-to-One and Inverse Functions
  • 4-4 Additional Equations and Inequalities
  • Preparing for Calculus
  • Summary
  • Key Concepts and Formulas
  • Chapter 4 Skills Check
  • Chapter 4 Review
  • Group Activities/Extended Applications

5. Exponential and Logarithmic Functions

  • Algebra Toolbox
  • 5-1 Exponential Functions
  • 5-2 Logarithmic Functions; Properties of Logarithms
  • >5-3 Exponential and Logarithmic Equations
  • 5-4 Exponential and Logarithmic Models
  • 5-5 Exponential Functions and Investing
  • 5-6 Annuities; Loan Repayment
  • 5-7 Logistic and Gompertz Functions
  • Preparing for Calculus
  • Summary
  • Key Concepts and Formulas
  • Chapter 5 Skills Check
  • Chapter 5 Review
  • Group Activities/Extended Applications

6. Higher-Degree Polynomial and Rational Functions

  • Algebra Toolbox
  • 6-1 Higher-Degree Polynomial Functions
  • 6-2 Modeling with Cubic and Quartic Functions
  • 6-3 Solution of Polynomial Equations
  • 6-4 Polynomial Equations Continued; Fundamental Theorem of Algebra
  • 6-5 Rational Functions and Rational Equations
  • 6-6 Polynomial and Rational Inequalities
  • Preparing for Calculus
  • Summary
  • Key Concepts and Formulas
  • Chapter 6 Review
  • Group Activities/Extended Applications

7. Systems of Equations and Matrices

  • Algebra Toolbox
  • 7-1 Systems of Linear Equations in Three Variables <
  • 7-2 Matrix Solution of Systems of Linear Equations
  • 7-3 Matrix Operations
  • 7-4 Inverse Matrices; Matrix Equations
  • 7-5 Determinants and Cramer's Rule
  • 7-6 Systems of Nonlinear Equations
  • Summary
  • Key Concepts and Formulas
  • Chapter 7 Skills Check
  • Chapter 7 Review
  • Group Activities/Extended Applications

8. Special Topics in Algebra

  • 8-1 Systems of Inequalities
  • 8-2 Linear Programming: Graphical Methods
  • 8-3 Sequences and Discrete Functions
  • 8-4 Series
  • 8-5 The Binomial Theorem
  • 8-6 Conic Sections: Circles and Parabolas
  • 8-7 Conic Sections: Ellipses and Hyperbolas
  • Summary
  • Key Concepts and Formulas
  • Chapter 8 Skills Check
  • Chapter 8 Review
  • Group Activity/Extended Applications

Appendices

  • A. Basic Graphing Calculator Guide
  • B. Basic Guide to Excel 2010 and Excel 2013

Credits

Answers to Selected Exercises

Index

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