College Algebra plus MyMathLab with Pearson eText -- Access Card Package

R. Basic Concepts of Algebra

R.1 The Real-Number System

R.2 Integer Exponents, Scientific Notation, and Order of Operations

R.3 Addition, Subtraction, and Multiplication of Polynomials

R.4 Factoring

R.5 The Basics of Equation Solving

R.6 Rational Expressions

R.7 Radical Notation and Rational Exponents

Study Guide

Review Exercises

Chapter Test

1. Graphs; Linear Functions and Models

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

Visualizing the Graph

Mid-Chapter Mixed Review

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

Study Guide

Review Exercises

Chapter Test

2. More on Functions

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

2.4 Symmetry and Transformations

Visualizing the Graph

2.5 Variation and Applications

Study Guide

Review Exercises

Chapter Test

3. Quadratic Functions and Equations; Inequalities

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

3.3 Analyzing Graphs of Quadratic Functions

Visualizing the Graph

Mid-Chapter Mixed Review

3.4 Solving Rational Equations and Radical Equations

3.5 Solving Linear Inequalities

Study Guide

Review Exercises

Chapter Test

4. Polynomial and Rational Functions

4.1 Polynomial Functions and Modeling

4.2 Graphing Polynomial Functions

Visualizing the Graph

4.3 Polynomial Division; The Remainder and Factor Theorems

Mid-Chapter Mixed Review

4.4 Theorems about Zeros of Polynomial Functions

4.5 Rational Functions

Visualizing the Graph

4.6 Polynomial and Rational Inequalities

Study Guide

Review Exercises

Chapter Test

5. Exponential and Logarithmic Functions

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

5.3 Logarithmic Functions and Graphs

5.4 Properties of Logarithmic Functions

5.5 Solving Exponential Equations and Logarithmic Equations

5.6 Applications and Models: Growth and Decay; Compound Interest

Study Guide

Review Exercises

Chapter Test

6. Systems of Equations and Matrices

6.1 Systems of Equations in Two Variables

Visualizing the Graph

6.2 Systems of Equations in Three Variables

6.3 Matrices and Systems of Equations

6.4 Matrix Operations

Mid-Chapter Mixed Review

6.5 Inverses of Matrices

6.6 Determinants and Cramer’s Rule

6.7 Systems of Inequalities and Linear Programming

6.8 Partial Fractions

Study Guide

Review Exercises

Chapter Test

7. Conic Sections

7.1 The Parabola

7.2 The Circle and the Ellipse

Mid-Chapter Mixed Review

7.3 The Hyperbola

7.4 Nonlinear Systems of Equations and Inequalities

Visualizing the Graph

Study Guide

Review Exercises

Chapter Test

8. Sequences, Series, and Combinatorics

8.1 Sequences and Series

8.2 Arithmetic Sequences and Series

8.3 Geometric Sequences and Series

Visualizing the Graph

8.4 Mathematical Induction

Mid-Chapter Mixed Review

8.5 Combinatorics: Permutations

8.6 Combinatorics: Combinations

8.7 The Binomial Theorem

8.8 Probability

Study Guide

Review Exercises

Chapter Test

Photo Credits

Answers

Index

Index of Applications

• Functions appear early and integrated, reflecting the authors’ belief that functions are best taught as a theme of the course, not as an isolated topic.
  • Functions are introduced in Chapter 1, so that students to start the course with a new topic rather than a review of equation-solving that was covered in previous math courses.
  • Students will come to understand the concept of a function by being exposed repeatedly to thelanguage, notation, and use of functions throughout the text.
• The authors take a visual approach to the course. The early introduction to functions allows for the use of graphs to provide a visual aspect to solving equations and inequalities. In addition, specific features enable students to “see the math” and make connections between concepts.
  • Algebraic/Graphical Side-by-Side Examples present the solutions in a two-column format to help students understand the connection between algebraic manipulation and the graphical interpretation.
  • Visualizing the Graph exercises help develop students’ ability to make the mental link between different types of equations and their corresponding graphs.
  • Connecting the Concepts, a hallmark feature of the text, invites the student to stop and check their understanding of how concepts work together in one section or several sections. Concepts are summarized visually–using graphs, outlines, or charts–so that students deepen their understanding and make connections.
• Ongoing review features throughout the text reinforce the concepts and help students build understanding.
  • NEW! Mid-chapter Review exercises are one-page mixed review sets at logical breaks in the chapter, helping students to reinforce their understanding of the concepts. These exercises are assignable in MyMathLab.
  • NEW! Study Summaries have been added to the Chapter Review, giving students a built-in study aid when reviewing and preparing for tests. In MyMathLab, these Study Summaries are accompanied by new videos to reinforce the key concepts and ideas.
  • Enhanced! Vocabulary Review exercises appear in the last section of each chapter, and check students’ understanding of the language of mathematics. These are now assignable in MyMathLab and can serve as reading quizzes.
  • Enhanced! Synthesis exercises, included at the end of each exercise set, encourage critical thinking by asking students to apply multiple skills or concepts within a single exercise. For the Fourth Edition, these are assignable in MyMathLab.
  • Classify the Function exercises, appearing in the Skill Maintenance section of the exercise sets, ask students to identify a number of functions by their type (linear, quadratic, rational, etc.). Throughout the text, the variety of functions increases and these exercises become more challenging.
  • Review Icons refer students to an earlier, related section where they can go to review prerequisite concepts that are needed for the current section.
  • Study Tips are occasional, brief reminders in the margin, to promote effective study habits such as good note taking and exam preparation.
  • Technology Connections are optional sections that guide students in the use of the graphing calculator as another way to check problems.
• Zeros, Solutions, and x-Intercepts are a theme of the text. The authors aim to help students see the connection between the real zeros of the function, the solutions of the associated equation, and the first coordinates of the x-intercepts of the graph. When students develop their understanding of these connections, their probability of success increases for this course.

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren, and promoting charity projects for a children's camp.

Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University–Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis (IUPUI), and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

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