Precalculus / Edition 7

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The Barnett, Ziegler, Byleen, and Sobecki College Algebra series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts.

The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.

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Product Details

  • ISBN-13: 9780077349912
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 1/26/2010
  • Edition description: New Edition
  • Edition number: 7
  • Pages: 944
  • Sales rank: 245,856
  • Product dimensions: 8.70 (w) x 11.00 (h) x 1.40 (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

Precalculus 7e


R-1 Algebra and Real Numbers

R-2 Exponents and Radicals

R-3 Polynomials: Basic Operations and Factoring

R-4 Rational Expressions: 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 Rectangular Coordinates

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

3-3 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 Angles and Their Measure

6-2 Trigonometric Functions: A Unit Circle Approach

6-3 Solving Right Triangles

6-4 Trigonometric Functions: Properties and Graphs

6-5 More General Trigonometric Functions

6-6 Inverse Trigonometric Functions

Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

Chapter 6 Review


7-1 Basic Identities and Their Use

7-2 Sum, Difference, and Cofunction Identities

7-3 Double-Angle and Half-Angle Identities

7-4 Product-Sum and Sum-Product Identities

7-5 Trigonometric Equations

Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool

Chapter 7 Review


8-1 Law of Sines

8-2 Law of Cosines

8-3 Vectors in the Plane

8-4 Polar Coordinates and Graphs

8-5 Complex Numbers and De Moivre's Theorem

Chapter 8 Group Activity: Conic Sections and Planetary Orbits

Chapter 8 Review

6, 7, & 8 Cumulative Review Exercises


9-1 Conic Sections; Parabola

9-2 Ellipse

9-3 Hyperbola

9-4 Rotation of Axes

Chapter 9 Group Activity: Focal Chords

Chapter 9 Review


10-1 Systems of Linear Equations

10-2 Solving Linear Systems Using Gauss-Jordan Elimination

10-3 Matrix Operations

10-4 Solving Linear Systems Using Inverse Matrices

10-5 Determinants and Cramer's Rule

Chapter 10 Group Activity: Modeling with Systems of Linear Equations

10-6 Systems of Nonlinear Equations

10-7 Systems of Linear Inequalities

10-8 Linear Programming

Chapter 10 Review


11-1 Sequences and Series

11-2 Mathematical Induction

11-3 Arithmetic and Geometric Sequences

11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations

11-5 Sample Spaces and Probability

11-6 Binomial Formula

Chapter 11 Group Activity: Sequences Specified by Recursion Formulas

Chapter 11 Review

9. 10, & 11 Cumulative Review Exercises


12-1 Introduction to Limits

12-2 Computing Limits Algebraically

12-3 Limits at Infinity

12-4 The Derivative

12-5 Area and Calculus

Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

Chapter 12 Review


A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations


B-1 Geometric Formulas

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