Algebra for College Students

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

An emphasis on real-data applications that involve graphs is a focus of the text. Some exercises have been updated throughout the text to help demonstrate concepts, motivate students, and to give students practice using new skills. Many of the real data exercises contain data obtained from the Internet. An Index of Applications listing applications by subject matter is included at the front of the text.

Geometry Review Exercises - Located in the appendix, this review section can be used to assist students to remediate their Geometry skills learned in earlier courses.

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.

Important ideas, such as definitions, rules, summaries, and strategies, are set apart in boxes for quick reference. Color is used to highlight these boxes as well as other important points in the text.

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.

Subsection heads are now in the end of section exercise sets, and section heads are now in the Chapter Review Exercises.

References to page numbers on which Strategy Boxes are located have been inserted into the direction lines for the exercises when appropriate.

Study tips have been removed from the margins to give the pages a better look. Two study tips now precede each exercise set.

McGraw-Hill?s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to www.mathzone.com to learn more.

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 ax? + 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

Student's Solutions Manual for with Algebra for College Students
ISBN: 0073206237
Author(s): DUGOPOLSKI

Annotated Instructor's Edition t/a Algebra for College Students (Comp ISBN)
ISBN: 0073206253
Author(s): DUGOPOLSKI

DVD Video Series to accompany Algebra for College Students
ISBN: 0073206288
Author(s): DUGOPOLSKI