P. Basic Concepts of Algebra P.1 The Real Numbers and Their Properties P.2 Integer Exponents and Scientific Notation P.3 Polynomials P.4 Factoring Polynomials P.5 Rational Expressions P.6 Rational Exponents and Radicals    Chapter P Summary    Chapter P Review Exercises    Chapter P Practice Test A    Chapter P Practice Test B   1. Equations and Inequalities 1.1 Linear Equations in One Variable 1.2 Quadratic Equations 1.3 Complex Numbers: Quadratic Equations with Complex Solutions 1.4 Solving Other Types of Equations 1.5 Inequalities 1.6 Equations and Inequalities Involving Absolute Value    Chapter 1 Summary    Chapter 1 Review Exercises    Chapter 1 Practice Test A    Chapter 1 Practice Test B   2. Graphs and Functions 2.1 The Coordinate Plane 2.2 Graphs of Equations 2.3 Lines 2.4 Functions 2.5 Properties of Functions 2.6 A Library of Functions 2.7 Transformations of Functions 2.8 Combining Functions; Composite Functions 2.9 Inverse Functions    Chapter 2 Summary    Chapter 2 Review Exercises    Chapter 2 Practice Test A    Chapter 2 Practice Test B    Cumulative Review Exercises- Chapters P-2   3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions 3.3 Dividing Polynomials 3.4 The Real Zeros of a Polynomial Function 3.5 The Complex Zeros of a Polynomial Function 3.6 Rational Functions 3.7 Variation    Chapter 3 Summary    Chapter 3 Review Exercises    Chapter 3 Practice Test A    Chapter 3 Practice Test B    Cumulative Review Exercises- Chapters P-3   4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Rules of Logarithms 4.4 Exponential and Logarithmic Equations and Inequalities 4.5 Logarithmic Scales    Chapter 4 Summary    Chapter 4 Review Exercises    Chapter 4 Practice Test A    Chapter 4 Practice Test B    Cumulative Review Exercises- Chapters P-4   5. Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right-Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle; The Unit Circle 5.4 Graphs of the Sine and Cosine Functions 5.5 Graphs of the Other Trigonometric Functions 5.6 Inverse Trigonometric Functions    Chapter 5 Summary    Chapter 5 Review Exercises    Chapter 5 Practice Test A    Chapter 5 Practice Test B    Cumulative Review Exercises- Chapters P-5   6. Trigonometric Identities and Equations 6.1 Verifying Identities 6.2 Sum and Difference Formulas 6.3 Double-Angle and Half-Angle Formulas 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations I 6.6 Trigonometric Equations II    Chapter 6 Summary    Chapter 6 Review Exercises    Chapter 6 Practice Test A    Chapter 6 Practice Test B    Cumulative Review Exercises- Chapters P-6   7. Applications of Trigonometric Functions 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Areas of Polygons Using Trigonometry 7.4 Vectors 7.5 The Dot Product 7.6 Polar Coordinates 7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem    Chapter 7 Summary

Encourage Students to Become Active Learnerswith student-friendly support features in Ratti/McWaters that are designed to help students see not only what they are going to learn, but also why, so that every concept is placed into the proper context. Topics for review help students refresh their memories on essential topics before beginning each chapter, listing specific page references to make it easy to find those concepts. Clear Objectives preview the key points of the section ahead, providing easy reference points when studying for exams. These Objectives appear again at the appropriate places in the section, putting each new topic into context. Each section leads off with an engaging Application that is revisited later in the section through examples and exercises. The Application ties key ideas together and provides motivation for students to read and study. Work it out: As you would in your own class, Ratti and McWaters encourage students to practice the material frequently, and give them ample opportunities to master the material by solving problems and applying their understanding. Procedure in Action boxes present important multistep procedures in a two-column format, illustrating the numbered steps of a procedure with a worked example. All examples conclude with a Practice Problem to ensure that students grasp the concept before moving forward.   Encourage Students to Practice with three levels of exercises designed for students to practice the math and apply their understanding. NEW! Answers to the Practice Problems have been moved to the end of the section, just before the Exercises NEW! Approximately 20% of the exercises have been updated and over 1,000 exercises have been added. NEW! Maintaining Skills exercises are placed at the end of each exercise set. Working these exercises will make it much easier for students to concentrate on the new material in each section. Three levels of Exercises for students to practice the math and apply their understanding: Basic Skills and Concepts are suitable for all students and homework assignments. Now included are new fill-in-the-blank and true/false exercises that test whether basic concepts and vocabulary of the section have been absorbed. Applying the Concepts are perfect for all students and homework assignments. Beyond the Basics can be used with advanced students or for extra credit. Additional exercise types include Critical Thinking, Graphing Calculator, and Group Projects. Fill-in-the-blank and true/false exercises appear at the beginning of the Basic Skills and Concepts sets to make sure students have a solid grasp of the concepts and vocabulary of the section before starting their homework. Graphing and graph interpretation exercises appear throughout the text as appropriate.     Help Students Review and Study with Integrated Study Aids thataddress some of the most frequent issues and questions. Help along the way: These integrated study aids give students hints and tips at strategic places in the text, addressing some of the most frequent issues and questions that occur Recall notes, located in the margins, periodically remind students of a key idea they learned earlier in the text that will help them with the new problem at hand. Warning notes point out commonly-made errors in thinking and calculations, with specific examples and detailed guidance. Side Notes offer just-in-time hints on essential skills. Technology Connections, although optional, give students tips on using their

Content Changes:   Chapter 1 Applications of linear equations have been relocated in Section 1. A Separate section “Complex Numbers: Quadratic Equations with Complex Solutions” introduces complex numbers and discusses complex roots of quadratic equations. Polynomial and rational inequalities are now discussed in Section 5. Chapter 2 Expanded discussion of the domain of composite functions with more examples. Chapter 3 New examples of quadratic functions. The procedure for graphing rational functions has been rewritten to identify the relation of the graph to horizontal and oblique asymptotes. Chapter 4 The number e is now introduced in Section 1. A new section on logarithmic scales has been added. Chapter 5 Partial-Fraction Decomposition has been moved to immediately follow Section 2 “Systems of Linear Equations in Three Variables”.