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Precalculus: Functions and Graphs, 5/E
Franklin Demana, Ohio State University
Bert K. Waits, Ohio State University
Gregory D. Foley, Appalachian State University
Daniel Kennedy, Baylor School

ISBN-10: 0321131967
ISBN-13:  9780321131966

Publisher:  Pearson
Copyright:  2004
Format:  Cloth; 1056 pp
Published:  03/27/2003


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Description

This text, intended for a graphing calculator required precalculus course, shows students when and how to use concepts, and promotes real understanding not just rote memorization. In addition, the graphing calculator is used as a tool to help explain ideas rather than merely to find answers. The book reflects AMATYC, MAA, and NCTM guidelines, and makes use of real world data in presenting a balanced algebraic and graphical approach to understanding precalculus concepts. The result is a thorough preparation for the calculus course.


Features

  • Annotated Instructor's Edition offers additional instructor support and answers to all exercises.
  • The authors focus on the balance between presenting concepts graphically and algebraically (symbolically).
  • Section opening “What You Will Learn and Why” point out the objectives and usefulness of the material in that section.
  • The Prerequisite chapter reviews important algebraic techniques allowing students from varying mathematical backgrounds to refresh their algebraic skills.
  • The Twelve Basic Functions are emphasized throughout the book as a major theme and focus. General characteristics of important kinds of functions such as sinusoids are also highlighted.
  • Looking Ahead to Calculus icons appear next to topics that are especially important in calculus, and help motivate students' interest.
  • At the end of every in-text example students are directed to “Now Try” a specific exercise. This feature encourages students to immediately try an exercise and test their comprehension of concepts illustrated in the example.
  • Math at Work essays at the end of chapters illustrate how mathematics is used on the job.
  • The increased number and diversity of applications enrich student learning.
  • Easier exercises have been added when needed to help the average student assimilate the concepts. Exercise sets have been restructured so that their order follows that of the examples and more closely matches the instruction in the lesson.
  • Quick review exercises begin each exercise set, and help prepare students to undertake the exercises. Included are references to appropriate instruction when students find they are unable to do the problems.
  • Writing to Learn exercises prompt students to reflect on what they have learned to solidify their understanding.
  • Group Activity exercises can be used for both in-class and homework assignments.
  • Extending the Ideas exercises promote deeper understanding.
  • Standardized Test Items have been added to every exercise set. These include two multiple-choice exercises and two true-false items that ask for explanations when answers are false.
  • Key Ideas with page references at the end of each chapter provide a helpful review.
  • At the end of each chapter, a glossary of key terms is provided. In addition, the summary has been redesigned to make it easier for students to use to study.


New To This Edition

  • Section 1.3 now includes 12 basic functions instead of 10. The greatest integer function and the logistics function have been added. Step functions in general are discussed in more detail, including their continuity.
  • Chapter 2 has been slightly reorganized to put more emphasis on the basic function 1/x. The subject matter of the old Section 2.7, Rational Functions and Equations has been split into 2 sections: 2-7: Graphs of Rational Functions and 2-8: Solving Equations in One Variable. This change was made so that the text would emphasize analysis of the reciprocal function as a basic function and as the parent function for all the transformations that result in all rational functions. The coverage of power functions was trimmed back.
  • The topic of values of special angles on the unit circle has slightly more emphasis without focusing on rote memorization.
  • A logic appendix has been added.


Table of Contents



P. Prerequisites.

Real Numbers.

Cartesian Coordinate System.

Linear Equations and Inequalities.

Lines in the Plane.

Solving Equations Graphically, Numerically and Algebraically.

Solving Inequalities Algebraically and Graphically.



1. Functions and Graphs.

Modeling and Equation Solving.

Functions and Their Properties.

Twelve Basic Functions.

Building Functions from Functions.

Graphical Transformations.

Modeling with Functions.



2. Polynomial, Power and Rational Functions.

Linear and Quadratic Functions with Modeling.

Power Functions with Modeling.

Polynomial Functions of Higher Degree with Modeling.

Real Zeros of Polynomial Functions.

Complex Numbers.

Complex Zeros and the Fundamental Theorem of Algebra.

Graphs of Rational Functions.

Solving Equations in One Variable.

Solving Inequalities in One Variable.



3. Exponential, Logistic and Logarithmic Functions.

Exponential and Logistic Functions.

Exponential and Logistic Modeling.

Logarithmic Functions and Their Graphs.

Properties of Logarithmic Functions.

Equation Solving and Modeling.

Mathematics of Finance.



4. Trigonometric Functions.

Angles and Their Measures.

Trigonometric Functions of Acute Angles.

Trigonometry Extended: The Circular Functions.

Graphs of Sine and Cosine: Sinusoids.

Graphs of Tangent, Cotangent, Secant, and Cosecant.

Graphs of Composite Trigonometric Functions.

Inverse Trigonometric Functions.

Solving Problems with Trigonometry.



5. Analytic Trigonometry.

Fundamental Identities.

Proving Trigonometric Identities.

Sum and Difference Identities.

Multiple-Angle Identities.

Law of Sines.

Law of Cosines.



6. Vectors, Parametric Equations, and Polar Equations.

Vectors in the Plane.

Dot Products of Vectors.

Parametric Equations and Motion.

Polar Coordinates.

Graphs of Polar Equations.

De Moivre's Theorem and nth Roots.



7. Systems and Matrices.

Solving Systems of Two Equations.

Matrix Algebra.

Multivariate Linear Systems and Row Operations.

Partial Fractions.

Systems of Inequalities in Two Variables.



8. Analytic Geometry in Two and Three Dimensions.

Conic Sections and Parabolas.

Ellipses.

Hyperbolas.

Translations and Rotations of Axes.

Polar Equations of Conics.

Three Dimensional Cartesian Coordinate System.



9. Discrete Mathematics.

Basic Combinatorics.

The Binomial Theorem.

Probability.

Sequences and Series.

Mathematical Induction.

Statistics and Data (Graphical).

Statistics and Data (Algebraic).



10. An Introduction to Calculus: Limits, Derivatives, and Integrals.

Limits and Motion: The Tangent Problem.

Limits and Motion: The Area Problem.

More on Limits.

Numerical Derivatives and Integrals.



Appendix A Algebra Review.

A.1 Radicals and Rational Exponents.

A.2 Polynomials and Factoring.

A.3 Fractional Expressions.


Next Edition(s)

  • Precalculus: Graphical, Numerical, Algebraic, 8/E
    Demana, Waits, Foley & Kennedy
    ©2011  |  Pearson  |  Cloth; 984 pp  |  Instock
    ISBN-10: 0321656938  |  ISBN-13: 9780321656933
    Brief Description  |  More Info

  • Precalculus: Graphical, Numerical, Algebraic, Media Update (2010) (HS Binding), 7/E
    Demana, Waits, Foley & Kennedy
    ©2010  |  Pearson  |  Cloth Bound w/CD-ROM; 1056 pp  |  Instock
    ISBN-10: 013245775X  |  ISBN-13: 9780132457750
    More Info



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Demana, Waits, Foley & Kennedy
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ISBN-10: 0321132017  |  ISBN-13: 9780321132017
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TestGen Computerized Test Bank, 5/E
Demana, Waits, Foley & Kennedy
©2004  |  Pearson  |  CD-ROM Only  |  Instock
ISBN-10: 0321132025  |  ISBN-13: 9780321132024

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Demana, Waits, Foley & Kennedy
©2004  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321132017  |  ISBN-13: 9780321132017
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MathXL -- Instant Access -- for Precalculus: Functions and Graphs, 5/E
Demana, Waits, Foley & Kennedy
©2004  |  Pearson  |  On-line Supplement; 1056 pp  |  Live
ISBN-10: 0321132041  |  ISBN-13: 9780321132048
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Websites and online courses

Companion Website, 6/E
Demana, Waits, Foley & Kennedy
©2004  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321132017  |  ISBN-13: 9780321132017
More Info


Websites and Online Courses

Companion Website, 6/E
Demana, Waits, Foley & Kennedy
©2004  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321132017  |  ISBN-13: 9780321132017
More Info

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