College Algebra / Edition 9

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The Barnett/Ziegler/Byleen/Sobecki College Algebra series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about mathematical concepts. All worked examples are followed by Matched Problems that reinforce the concepts being taught. New to these editions, Technology Connections illustrate how concepts that were previously explained in an algebraic context may also be solved using a graphing calculator. Students are always shown the underlying algebraic methods first so that they do not become calculator-dependent. In addition, each text in the series contains an abundance of exercises - including numerous calculator-based and reasoning and writing exercises - and a wide variety of real-world applications illustrating how math is useful.
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Product Details

  • ISBN-13: 9780077350161
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 1/20/2010
  • Edition description: New Edition
  • Edition number: 9
  • Pages: 568
  • Sales rank: 930,121
  • Product dimensions: 10.90 (w) x 8.70 (h) x 0.80 (d)

Meet the Author

I was born and raised in Cleveland, and started college at Bowling Green State University in 1984 majoring in creative writing. Eleven years later, I walked across the graduation stage to receive a PhD in math, a strange journey indeed. After two years at Franklin and Marshall College in Pennsylvania, I came home to Ohio, accepting a tenure-track job at the Hamilton campus of Miami University. I’ve won a number of teaching awards in my career, and while maintaining an active teaching schedule, I now spend an inordinate amount of time writing textbooks and course materials. I’ve written or co-authored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CD-ROMS.

After many years as developmental math coordinator at Miami Hamilton, I share the frustration that goes along with low pass rates in the developmental math curriculum. Far too many students end up on the classic Jetson’s-style treadmill, with the abstract nature of the traditional algebra curriculum keeping them from reaching their goals. Like so many instructors across the country, I believe the time is right to move beyond the one-size-fits-all curriculum that treats students the same whether they hope to be an engineer or a pastry chef. “Because we’ve always done it that way” is NOT a good reason to maintain the status quo in our curriculum. Let’s work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into credit-bearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think I’m in the right place at the right time to make a difference in the new and exciting pathways course.

I’m in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Don’t tell my publisher this – they think I spend 20 hours a day working on textbooks – but I’m working on my first novel in the limited spare time that I have.) I’m also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on high-quality teaching as a primary career goal. I live in Fairfield, Ohio with my lovely wife Cat and fuzzy dogs Macleod and Tessa. When not teaching or writing, my passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel, golf, and home improvement.

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Table of Contents

College Algebra, 9e


R-1 Algebra and Real Numbers

R-2 Exponents

R-3 Radicals

R-4 Polynomials: Basic Operations

Chapter R Review


1-1 Linear Equations and Applications

1-2 Linear Inequalities

1-3 Absolute Value

1-4 Complex Numbers

1-5 Quadratic Equations and Applications

1-6 Equations Involving Radicals

Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 1 Review


2-1 Cartesian Coordinate System

2-2 Distance in the Plane

2-3 Equations of a Line

2-4 Linear Equations and Models

Chapter 2 Group Activity: Rates of Change

Chapter 2 Review


3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-4 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse Functions

Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan

Chapter 3 Review

1, 2, & 3 Cumulative Review Exercises


4-1 Polynomial Functions And Models

4-2 Real Zeros and Polynomial Inequalities

4-3 Complex Zeros and Rational Zeros of Polynomials

4-4 Rational Functions and Inequalities

4-5 Variation and Modeling

Chapter 4 Group Activity: Interpolating Polynomials

Chapter 4 Review


5-1 Exponential Functions

5-2 Exponential Models

5-3 Logarithmic Functions

5-4 Logarithmic Models

5-5 Exponential and Logarithmic Equations

Chapter 5 Group Activity: Growth of Increasing Functions

Chapter 5 Review

4 & 5 Cumulative Review Exercises


6-1 Conic Sections; Parabola

6-2 Ellipse

6-3 Hyperbola

Chapter 6 Group Activity: Focal Chords

Chapter 6 Review


7-1 Systems of Linear Equations

7-2 Solving Linear Systems Using Gauss-Jordan Elimination

7-3 Matrix Operations

7-4 Solving Linear Systems Using Inverse Matrices

7-4 Determinants and Cramer's Rule

7-5 Chapter 7 Group Activity: Modeling with Systems of Linear Equations

7-6 Systems of Nonlinear Equations

7-7 Systems of Linear Inequalities

7-8 Linear Programming

Chapter 7 Review


8-1 Sequences and Series

8-2 Mathematical Induction

8-3 Arithmetic and Geometric Sequences

8-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations

8-5 Sample Spaces and Probability

8-6 Binomial Formula

Chapter 8 Group Activity: Sequences Specified by Recursion Formulas

Chapter 8 Review

6, 7, & 8 Cumulative Review Exercises


A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations


B-1 Geometric Formulas

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