Description |
Algebra for College Students, 5e is part of the latest offerings in the successful Dugopolski series in mathematics. The author’s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that “the price of a hamburger plus a Coke is the same as a Coke plus a hamburger”. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone. |
Key Features |
Chapter Opener: Chapter openers discuss a real application of algebra corresponding to the topics within a given chapter. The discussion is accompanied by a photograph and, in most cases by a real-data application graph that helps students visualize algebra and more fully understand the concepts discussed in the chapter. Each chapter opener has a corresponding real data exercise. In addition, each chapter contains a Math at Work feature, which profiles a real person and the mathematics that he or she uses on the job. In This Section: Located at the beginning of every section, this feature provides a list of topics that shows what will be covered in the given section. Because the topics correspond to the headings within each section, your students will find it easy to locate and study specific concepts. These topics are now referenced in the end of section exercises. Student assistance features located in the text: Calculator Close-Ups Located in the margin, this feature gives your students an idea of how and when to use a graphing calculator. Some Calculator Close-Ups simply introduce the features of a graphing calculator, where others enhance understanding of algebraic concepts. For this reason, many of the Calculator Close-Ups will benefit even those students who do not use a graphing calculator. Study Tips - Two study tips now precede each exercise set. Helpful Hints are short comments located in the margin that enhance the material in the text, provide another way of approaching a problem, or clear up misconceptions. Now Do Exercises: Linked to the end of section exercises, students are guided from the examples within a section to the end of section exercises where they can master the given topic being studied. Warm-up Exercises: Located at the end of every section, these exercises are a set of ten simple statements that are to be answered true or false. These exercises are designed to provide a smooth transition between the ideas and the exercise sets. They help your students understand that every statement in mathematics is either true or false. They are also good for discussion or group work. Simple Reading & Writing Exercises: Located in every section, these exercises appear in the exercise sets. The exercises are designed to get your students to review the definitions and rules of the section before doing more traditional exercises. For example, your student might be simply asked what properties of equality were discussed in this section. End-of-Section Exercises follow the same order as the textual material and contain exercises that are keyed to examples, as well as numerous exercises that are not keyed to examples. This organization allows the instructor to cover only part of a section if necessary and easily determine which exercises are appropriate to assign. The keyed exercises give your student a place to start practicing and building confidence, whereas the non-keyed exercises are designed to wean your student from following examples in a step-by-step manner. Getting More Involved exercises are designed to encourage writing, discussion, exploration, and cooperative learning. Graphing Calculator Exercises require a graphing calculator and are identified with a graphing calculator logo. Wrap-up: Located at the end of every chapter, the Wrap-Up includes the following - The Chapter Summary lists important concepts along with brief illustrative examples. Enriching Your Mathematical Word Power appears at the end of each chapter and consists of multiple choice questions in which the important terms are to be matched with their meanings. This feature emphasizes the importance of proper terminology. The Review Exercises contain problems that are keyed to the sections of the chapter as well as numerous miscellaneous exercises. The Chapter Test is designed to help your student assess his or her readiness for a test. The Chapter Test has no keyed exercises, thus enabling the student to work independently of the sections and examples. Making Connections Exercises: Located at the end of each chapter, this feature is designed to help your students review and synthesize the new material with ideas from previous chapters, and in some cases, review material necessary for success in the upcoming chapter. Every Making Connections exercise set includes at least one applied exercise that requires ideas from one or more of the previous chapters. |
Table of Contents |
TO THE STUDENT PREFACE 1 The Real Numbers 1.1 Sets 1.2 The Real Numbers 1.3 Operations on the Set of Real Numbers 1.4 Evaluating Expressions 1.5 Properties of the Real Numbers 1.6 Using the Properties Chapter 1 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 1 Test • Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 2 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 2 Test • Making Connections: A review of Chapters 1-2 • Critical Thinking 3 Linear Equations and Inequalities in Two Variables 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope of a Line 3.3 Three Forms for the Equation of a Line 3.4 Linear Inequalities and Their Graphs 3.5 Functions and Relations Chapter 3 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 3 Test • Making Connections: a review of Chapters 1-3 • Critical Thinking 4 Systems of Linear Equations 4.1 Solving Systems by Graphing and Substitution 4.2 The Addition Method 4.3 Systems of Linear Equations in Three Variables 4.4 Solving Linear Systems Using Matrices 4.5 Determinants and Cramer’s Rule 4.6 Linear Programming Chapter 4 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 4 Test • Making Connections: a review of Chapters 1-4 • Critical Thinking 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax² + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 5 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 5 Test • Making Connections: a review of Chapters 1-5 • Critical Thinking 6 Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 6 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 6 Test • Making Connections: a review of Chapters 1-6 • Critical Thinking 7 Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Adding, Subtracting, and Multiplying Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 7 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 7 Test • Making Connections: a review of Chapters 1-7 • Critical Thinking 8 Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic Functions and Their Graphs 8.5 Quadratic and Rational Inequalities Chapter 8 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 8 Test • Making Connections: a review of Chapters 1-8 • Critical Thinking 9 Additional Function Topics 9.1 Graphs of Functions and Relations 9.2 Transformations of Graphs 9.3 Combining Functions 9.4 Inverse Functions 9.5 Variation Chapter 9 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 9 Test • Making Connections: a review of Chapters 1-9 • Critical Thinking 10 Polynomial and Rational Functions 10.1 The Factor Theorem 10.2 Zeros of a Polynomial Function 10.3 The Theory of Equations 10.4 Graphs of Polynomial Functions 10.5 Graphs of Rational Functions Chapter 10 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 10 Test • Making Connections: a review of Chapters 1-10 • Critical Thinking 11 Exponential and Logarithmic Functions 11.1 Exponential Functions and Their Applications 11.2 Logarithmic Functions and Their Applications 11.3 Properties of Logarithms 11.4 Solving Equations and Applications Chapter 11 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 11 Test • Making Connections: a review of Chapters 1-11 • Critical Thinking 12 Nonlinear Systems and the Conic Sections 12.1 Nonlinear Systems of Equations 12.2 The Parabola 12.3 The Circle 12.4 The Ellipse and Hyperbola 12.5 Second-Degree Inequalities Chapter 12 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 12 Test • Making Connections: a review of Chapters 1-12 • Critical Thinking 13 Sequences and Series 13.1 Sequences 13.2 Series 13.3 Arithmetic Sequences and Series 13.4 Geometric Sequences and Series 13.5 Binomial Expansions Chapter 13 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 13 Test • Making Connections: a review of Chapters 1-13 • Critical Thinking 14 Counting and Probability 14.1 Counting and Permutations 14.2 Combinations 14.3 Probability Chapter 14 Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • Chapter 14 Test • Critical Thinking Appendix A Answers to Selected Exercises Index |
Supplements |
ISBN: 0073206237 Author(s): DUGOPOLSKI ISBN: 0073206253 Author(s): DUGOPOLSKI ISBN: 0073206288 Author(s): DUGOPOLSKI |