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Addison-Wesley / Prentice Hall

Mathematics

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Precalculus, 3/E
Robert F. Blitzer, Miami-Dade Community College

ISBN-10: 0131874799
ISBN-13:  9780131874794

Publisher:  Prentice Hall
Copyright:  2007
Format:  Cloth; 1200 pp
Published:  03/09/2006
New edition available
  This item has been replaced by Precalculus, 4/E.



Gets Them Engaged. Keeps Them Engaged.

 

Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly so they don't get "lost" when studying and reviewing.

 

First, he gets students engaged in the study of mathematics by highlighting truly relevant, unique, and engaging applications. He explores math the way it evolved: by describing real problems and how math explains them. In doing so, it answers the question "When will I ever use this?"  

 

Then, Blitzer keeps students engaged by ensuring they don't get lost when studying. Examples are easy to follow because of a three-step learning system — "See it, Hear it, Try it" embedded into each and every one. He literally "walks" the student through each example by his liberal use of annotations — the instructor's "voice" that appears throughout.

 

HALLMARK FEATURES:

  • Relevant, diverse applications with updated real-world data—Provides more interesting, real-world applications than found in any similar text.
    • Topics include cigarette consumption, passion and commitment in humans, and online spending trends.
      • Brings relevance to examples, discussions, and applications
      • applications involving cost functions, revenue functions, and break-even points (section 8.1) presents business majors with important topics.
      • Peaks students' interest by showing them how important math is to their lives on a daily basis.
  • Exceptionally clear and accessible presentation—More so than any text in the market, Blitzer is fastidious about ensuring that students can follow the book when they get home from class.
    1. Features voice balloons that allow for very, specific annotations in examples. These annotations are the things that instructors say to students when teaching a particular example. These annotations, like an instructor, translate the math for students.
      • Further clarifies procedures and concepts for students.
      • Appears everywhere throughout the text, in examples and beside graphs, whereever a student needs help.
      • Helps the students remember what the instructor said in class - - they get help when they need it the most - - when they are at home trying to do their homewor
    2. Well-Constructed Examples ALWAYS USE THE SAME FORMAT—"See it, Hear it, Try it" No steps are omitted and each step is clearly explained.
      • Students always know what to expect when they read the examples at home because the format it always the same
      • The format helps clarify and reinforce learning - First, students read the algebraic expression. Then, the annotations (or instructor's voice) help clarify the steps needed to solve the example, and last, the concept is immediately reinforced as the student is asked to try and solve a similar problem - a Checkpoint Example - right away. This actively involves students in the learning process.

NEW TO THIS EDITION

 

  • Mid Chapter Checkpoints:  At approximately the midway point in the chapter, an integrated set of review exercises allows student to review skills and concepts learned separately over several sections.
    • Overwhelmingly positively received, this is a great way to check understanding at critical points within chapters instead of waiting until the entire chapter is covered.
  • Practice Plus Problems:  This category of exercises contains more challenging problems. They require students to combine skills and to revisit key concepts in order to solve.
    • Gives students the opportunity to further develop their problem solving skills
    • Acts as a checkpoint to determine if certain covered skills and concepts are grasped adequately
    • Tests conceptual understanding
  • Chapter Test Prep Videos:  An enhancement to the popular Chapter Tests feature of previous editions. New videos now compliment these chapter tests which appear at the end of every chapter.  New to this edition are videos which contain worked-out solutions to every exercise in each chapter test. These videos come packaged in the Student and Instructors Edition as well as electronically in MyMathLab.
    • The chapter tests allow students to test themselves, before actual quizzes and tests, on their mathematical understanding of key concepts covered in each chapter.
    • The videos support the chapter tests by providing students with the aid of “an instructor” when and where they need it most - - when they are at home studying.

OTHER STUDENT SUPPORT

  • Titled Examples—All examples have titles.
    • Enables students to immediately see the purpose of each example.
  • Chapter-end Tests—Follows the comprehensive collection of chapter review exercises.

    • Gives students the opportunity to see if they are prepared for an actual class test.

  • Cumulative Review Exercises—At the end of each chapter.

    • Provides students with the opportunity for continuous review.

    Specific mathematical content prepares students for calculus: such as factoring algebraic expressions containing fractional and negative exponents; relative maximum and relative minimum values of a function; and function's average rate of change.

    • Helps students who will be going on to Calculus, and gives them an enhanced understanding of functions' graphs and how those graphs are changing.

CONTENT FEATURES:

  • Complex numbers and the discussion of graphs and graphing utilities appear in Chapter 1.

    • Enables students to immediate 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 developed in Chapter 1.

  • A general discussion on cost and average cost functions appears in section 3.6.
    • Makes it possible for students to model these functions from verbal conditions before exploring the behavior of their graphs.
  • Extensive, and well-organized exercise sets—At the end of each section exercises are organized by level within six category types: Practice Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, and Group Exercises.

    • Helps instructors easily create well-rounded homework assignments. Presents students with an ongoing selection of novel applications.

  • Enrichment Essays and section openers—Includes the five all-time celebrity winners on Jeopardy!, and a comparison between the probability of dying and the probability of winning Florida's lottery.

    • Provides historical, interdisciplinary, and interesting connections throughout the text.

  • Study Tip boxes—Appear in abundance throughout the book.

    • Offers students suggestions for problem solving, point out common student errors, and provide informal tips and suggestions.

  • Technology boxes.

    • Illustrates the many capabilities of graphing utilities that go beyond just graphing.

  • Chapter Review Grids—Feature summaries of chapter material organized into two-column review charts.

    • Summarizes the definitions and concepts for every section of the chapter, and refers students to illustrative examples by example number and page number of these key concepts.

    

  • Refreshed Applications: Bob Blitzer believes that an engaged student is a motivated student. That is why his text is full of the most interesting and diverse applications which demonstrate how math relates directly to his students’ lives. In this new edition, Bob has refreshed many of these applications so that they are as current and “cutting edge” as possible.
      • Get's students engaged by showing them how math is both interesting and relevant to their everyday lives.
  • Mid Chapter Checkpoints:  At approximately the midway point in the chapter, an integrated set of review exercises allows student to review skills and concepts learned separately over several sections.
      • Overwhelmingly positively received, this is a great way to check understanding at critical points within chapters instead of waiting until the entire chapter is covered.
  • Practice Plus Problems:  This category of exercises contains more challenging problems. They require students to combine skills and to revisit key concepts in order to solve.
      • Gives students the opportunity to further develop their problem solving skills
      • Acts as a checkpoint to determine if certain covered skills and concepts are grasped adequately
      • Tests conceptual understanding
  • Chapter Test Prep Videos:  An enhancement to the popular Chapter Tests feature of previous editions. New videos now compliment these chapter tests which appear at the end of every chapter.  New to this edition are videos which contain worked-out solutions to every exercise in each chapter test. These videos come packaged in the Student and Instructors Edition as well as electronically in MyMathLab.
    • The chapter tests allow students to test themselves, before actual quizzes and tests, on their mathematical understanding of key concepts covered in each chapter.
    • The videos support the chapter tests by providing students with the aid of “an instructor” when and where they need it most - - when they are at home studying.

     

                      ·      Animations of key mathematical concepts are now integrated into MyMathLab.

    • Chapter Prerequisites: Fundamental Concepts of Algebra

                p.1            Algebraic Expressions and Real Numbers

                p.2            Exponents and Scientific Notation

                p.3             Radicals and Rational Exponents

                p.4            Polynomials

                p.5            Factoring Polynomials

                            Mid-chapter Check Point

                p.6             Rational Expressions

                p.7            Equations

                p.8            Modeling with Equations

                p.9            Linear Inequalities and Absolute Value Inequalities

     

    Chapter 1            Functions and Graphs

    1.1              Graphs and Graphing Utilities

    1.2              Basics of Functions and their Graphs

    1.3              More on Functions and their Graphs

    1.4              Linear Functions and Slope

    1.5              More on Slope

    Mid-chapter Check Point

    1.6              Transformations of Functions

    1.7              Combinations of Functions; Composite Functions

    1.8              Inverse Functions

    1.9              Distance and Midpoint Formulas; Circles

    1.10          Modeling with Functions

     

    Chapter 2            Polynomial and Rational Functions

    2.1              Complex Numbers

    2.2              Quadratic Functions

    2.3              Polynomial Functions and their Graphs

    2.4              Dividing Polynomials; Remainder and Factor Theorems

    2.5              Zeros of Polynomial Functions

    Mid-chapter Check Point

    2.6              Rational Functions and their Graphs

    2.7              Polynomial and Rational Inequalities

    2.8              Modeling Using Variation

     

    Chapter 3            Exponential and Logarithmic Functions

    3.1              Exponential Functions

    3.2              Logarithmic Functions

    3.3              Properties of Logarithms

    Mid-chapter Check Point

    3.4              Exponential and Logarithmic Equations

    3.5              Exponential Growth and Decay; Modeling Data

     

    Chapter 4            Trigonometric Functions

    4.1              Angles and Radian Measure

    4.2              Trigonometric Functions: The Unit Circle

    4.3              Right Triangle Trigonometry

    4.4              Trigonometric Functions of Any Angle

    Mid-chapter Check Point

    4.5              Graphs of Sine and Cosine Functions

    4.6              Graphs of other Trigonometric Functions

    4.7              Inverse Trigonometric Functions

    4.8              Applications of Trigonometric Functions

     

    Chapter 5            Analytic Trigonometry

    5.1              Verifying Trigonometric Identities

    5.2              Sum and Difference Formulas

    5.3              Double-Angle, Power-Reducing, and Half-Angle Formulas

    Mid-chapter Check Point

    5.4              Product-to-Sum and Sum-to-Product Formulas

    5.5              Trigonometric Equations

     

    Chapter 6             Additional Topics in Trigonometry

    6.1              The Law of Sines

    6.2              The Law of Cosines

    6.3              Polar Coordinates

    6.4              Graphs of Polar Equations

    Mid-chapter Check Point

    6.5              Complex Numbers in Polar Form; DeMoivre’s Theorem

    6.6              Vectors

    6.7              The Dot Product

     

    Chapter 7            Systems of Equations and Inequalities

    7.1              Systems of Linear Equations in Two Variables

    7.2              Systems of Linear Equations in Three Variables

    7.3              Partial Fractions

    7.4              Systems of Nonlinear Equations in Two Variables

    Mid-chapter Check Point

    7.5              Systems of Inequalities

    7.6              Linear Programming

     

    Chapter 8            Matrices and Determinants

    8.1              Matrix Solutions to Linear Systems

    8.2              Inconsistent and Dependent Systems and Their Applications

    8.3              Matrix Operations and Their Applications

    Mid-chapter Check Point

    8.4              Multiplicative Inverses of Matrices and Matrix Equations

    8.5              Determinants and Cramer’s Rule

     

    Chapter 9            Conic Sections and Analytic Geometry

    9.1              The Ellipse

    9.2              The Hyperbola

    9.3              The Parabola

    Mid-chapter Check Point

    9.4              Rotation of Axes

    9.5              Parametric Equations

    9.6              Conic Sections in Polar Coordinates

     

    Chapter 10            Sequences, Induction, and Probability

    10.1          Sequences and Summation Notation

    10.2          Arithmetic Sequences

    10.3          Geometric Sequences and Series

    Mid-chapter Check Point

    10.4          Mathematical Induction

    10.5          The Binomial Theorem

    10.6          Counting Principles, Permutations, and Combinations

    10.7          Probability

     

    Chapter 11            Introduction to Calculus

    11.1          Finding Limits Using Tables and Graphs

    11.2          Finding Limits Using Properties of Limits

    11.3          Limits and Continuity

    Mid-chapter Check Point

    11.4          Introduction to Derivatives

     

    Appendix:             Where Did That Come From?

                            Selected Proofs

     

    • 9780321559845
      Precalculus, 4/E
      Blitzer
      ©2010 | Prentice Hall | Cloth Bound w/CD-ROM; 1232 pp | Instock
      ISBN-10: 0321559843 | ISBN-13: 9780321559845
      Brief Description | Buy from myPearsonStore

    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 fro 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 Prentice Hall.

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