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College Algebra: International Edition

Autor Robert F. Blitzer
en Limba Engleză Mixed media product – 5 noi 2008
Bob Blitzer’s unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws students in with vivid applications that use math to solve real-life problems. These applications help answer the question “When will I ever use this?” Students stay engaged because the book helps them remain focused as they study. The three-step learning system–See It, Hear It, Try It–makes examples easy to follow, while frequent annotations offer the support and guidance of an instructor’s voice. Every page is interesting and relevant, ensuring that students will actually use their textbook to achieve success!
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Specificații

ISBN-13: 9780321609403
ISBN-10: 0321609409
Pagini: 848
Dimensiuni: 216 x 276 mm
Greutate: 1.74 kg
Ediția:5Nouă
Editura: Pearson Education
Colecția Pearson Education
Locul publicării:Upper Saddle River, United States

Cuprins

Preface
Acknowledgments
To the Student
About the Author
Applications Index
 
P. Prerequisites: Fundamental Concepts of Algebra
P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
P.2 Exponents and Scientific Notation
P.3 Radicals and Rational Exponents
P.4 Polynomials
            Mid-Chapter Check Point
P.5 Factoring Polynomials
P.6 Rational Expressions
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER P TEST
 
1. Equations and Inequalities
1.1 Graphs and Graphing Utilities
1.2 Linear Equations and Rational Equations
1.3 Models and Applications
1.4 Complex Numbers
1.5 Quadratic Equations
            Mid-Chapter Check Point
1.6 Other Types of Equations
1.7 Linear Inequalities and Absolute Value Inequalities
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 1 TEST
 
2. Functions and Graphs
2.1 Basics of Functions and Their Graphs
2.2 More on Functions and Their Graphs
2.3 Linear Functions and Slope
2.4 More on Slope
            Mid-Chapter Check Point
2.5 Transformations of Functions
2.6 Combinations of Functions; Composite Functions
2.7 Inverse Functions
2.8 Distance and Midpoint Formulas; Circles
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 2 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-2)
 
3. Polynomial and Rational Functions
3.1 Quadratic Functions
3.2 Polynomial Functions and Their Graphs
3.3 Dividing Polynomials; Remainder and Factor Theorems
3.4 Zeros of Polynomial Functions
            Mid-Chapter Check Point
3.5 Rational Functions and Their Graphs
3.6 Polynomial and Rational Inequalities
3.7 Modeling Using Variation
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 3 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-3)
 
4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Properties of Logarithms
            Mid-Chapter Check Point
4.4 Exponential and Logarithmic Equations
4.5 Exponential Growth and Decay; Modeling Data
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 4 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-4)
 
5. Systems of Equations and Inequalities
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in Three Variables
5.3 Partial Fractions
5.4 Systems of Nonlinear Equations in Two Variables
            Mid-Chapter Check Point
5.5 Systems of Inequalities
5.6 Linear Programming
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 5 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-5)
 
6. Matrices and Determinants
6.1 Matrix Solutions to Linear Systems
6.2 Inconsistent and Dependent Systems and Their Applications
6.3 Matrix Operations and Their Applications
            Mid-Chapter Check Point
6.4 Multiplicative Inverses of Matrices and Matrix Equations
6.5 Determinants and Cramer's Rule
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 6 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-6)
 
7. Conic Sections
7.1 The Ellipse
7.2 The Hyperbola
            Mid-Chapter Check Point
7.3 The Parabola
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 7 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-7)
 
8. Sequences, Induction, and Probability
8.1 Sequences and Summation Notation
8.2 Arithmetic Sequences
8.3 Geometric Sequences and Series
            Mid-Chapter Check Point
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles, Permutations, and Combinations
8.7 Probability
            SUMMARY, REVIEW, AND TEST
            REVIEW EXERCISES
            CHAPTER 8 TEST
            CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-8)
 
Appendix A: Where Did That Come From?
Selected Proofs
Answers to Selected Exercises
Subject Index
Photo Credits

Notă biografică

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Pearson Prentice Hall.

Caracteristici

  • Outstanding applications put learning into context for students. Blitzer creates intriguing applications that show students the relevance of math. Appealing to a wide range of interests and majors, Blitzer’s applications captivate students’ imagination with his passion for integrating math into the worlds of contemporary society, culture, art, and science.
  • Clear and accessible presentation ensures that students can follow the book when they get home from class.
    • Voice balloons offer the support and guidance of an instructor’s voice. These specific annotations clarify procedures and concepts, mimicking what an instructor would say in class when translating the math into plain English.
    • See it, Hear it, Try it is the consistent format of every textbook example. No steps are omitted and each step is clearly explained. Each example concludes with problems for students to try, ensuring that they understand the concept before continuing.
  • Extensive exercise sets at the end of each section are organized into seven categories: Practice Exercises, PracticePlus Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, and Preview Exercises. This variety lets instructors create well-rounded homework assignments, while holding students’ interest with an ongoing selection of novel applications.
    • Mid-Chapter Checkpoints contain a set of review exercises that allow students to review skills and concepts from several sections before the end-of-chapter exercises.
    • Practice Plus Problems are more challenging problems that test conceptual understanding by requiring students to combine skills and to revisit key concepts in order to solve.
    • Cumulative Review Exercises at the end of each chapter ensure that students remember previously learned material, keeping the fundamental skills and concepts fresh in their minds as they move on to the next chapter.
    • End-of-chapter tests cover all of the important topics in the chapter, helping students study for the real thing.
  • Integrated study aids help students make the most of their time outside of the classroom.
    • Chapter Test Prep Videos contain worked-out solutions to every exercise in every chapter test. An instructor walks students through each exercise step-by-step, allowing students to pause and watch again as needed. This valuable study tool comes with every new copy of the textbook.
    • Study Tip boxes appear throughout the book. These offer suggestions for problem solving, point out common student errors, and provide informal tips and suggestions.
    • Technology boxes illustrate the many capabilities of graphing utilities that go beyond just graphing.
    • Chapter Reviews organize chapter material into easy-to-use two-column review charts. These summarize the definitions and concepts for every section of the chapter and refer students to illustrative examples.
  • Content Features
    • Complex numbers and graphs and graphing utilities appear in Chapter 1. This early introduction allows students to apply their understanding of complex numbers to their work in solving quadratic equations, and sets the stage for using graphing to support the algebraic work in solving equations and inequalities.
    • A general discussion on cost and average cost functions appears in section 3.6, making it possible for students to model these functions from verbal conditions before exploring the behavior of their graphs.

Caracteristici noi

  • 80% new applications and real-world data have been incorporated into the examples and exercises, keeping this book fresh and relevant for today’s students. Updated data comes from a variety of books, magazines, newspapers, almanacs, and websites.
  • “Make Sense?” classroom discussion exercises contain four critical thinking exercises that foster participation in the learning process. These questions ask students to determine whether statements are sensible, and to explain why or why not, allowing instructors to quickly gauge students’ understanding of concepts.
  • Preview Exercises at the end of each exercise set prepare students for material in the section ahead. Some problems review important material from the past and others are designed to get students thinking about concepts that they will soon encounter.
  • True/False problems now challenge students to use their critical thinking skills by asking students to change the wording of false statements so that they become true.
  • Mathematical models coverage now includes more detailed directions. For example, students are asked if values obtained from models overestimate or underestimate the data in graphs. This type of exercise increases students’ mathematical literacy.
  • More Study Tip boxes appear throughout the new edition. These boxes offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
  • Updated design includes engaging new chapter openers in a magazine-style format. The visually appealing pages encourage students to read the book and become excited to learn.
  • MyMathLab for Blitzer courses now have full coverage of odd-numbered exercises.
Content and Organizational Changes
  • Section P.l (Algebraic Expressions, Mathematical Models and Real Numbers) contains a more detailed number line that illustrates both rational and irrational numbers. A new essay based on humorist Garth Sundem's Geek Logik sets the stage for the book's engaging collection of unique applications.
  • Section 1.1 (Graphs and Graphing Utilities) offers additional exercises that ask students to find graphs that best illustrate a given description or story.
  • Section 2.6 (Linear Inequalities and Absolute Value Inequalities) presents a new example of an inequality that contains fractions. There is a new procedure that uses boundary points to show students how solving inequalities involving absolute value is connected to the graph of f (x) = |x|. Instructors have the option of solving absolute value inequalities using boundary points or by the more traditional method of rewriting absolute value inequalities as equivalent compound inequalities.
  • Section 1.2 (Basics of Functions and Their Graphs) adds to the discussion of identifying domain and range from a function's graph with a new example, in which the range is not determined by looking at a graph's endpoints.
  • Section 1.3 (More on Functions and Their Graphs) now opens with a discussion of intervals on which a function increases, decreases, or is constant. This serves as a fluid transition from the information on analyzing the graph of a function in the previous section, as well as an immediate connection to the section's introduction. With the revised order of objectives, the section closes with a discussion of the difference quotient. There is also a more detailed presentation on piecewise functions, including an example on graphing such a function.
  • Section 1.4 (Linear Functions and Slope) contains a new modeling example on climate change that is connected to the chapter opener.
  • Section 3.2 (Polynomial Functions and Their Graphs) follows the definition of a polynomial function with examples of both polynomial functions and non-polynomial functions. There is a new example on the Leading Coefficient Test where a function's degree and leading coefficient are determined for an equation in factored form.
  • Section 4.5 (Exponential Growth and Decay; Modeling Data) has a greater variety of exercises on half-life and exponential decay.
  • Section 8.3 (Geometric Sequences and Series) has a more thoroughly developed example determining the value of an annuity, supported by an essay on "Stashing Cash and Making Taxes Less Taxing." Finance problems have been expanded in the exercise set.