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Mathematics

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Precalculus, 2/E
Judith A. Beecher, Indiana University Purdue University Indianapolis
Judith A. Penna, Indiana University Purdue University Indianapolis
Marvin L. Bittinger, Indiana University Purdue University Indianapolis

ISBN-10: 0321159365
ISBN-13: 9780321159366

Publisher: Addison-Wesley
Copyright: 2005
Format: Cloth; 1008 pp
Status: Out of Print

Suggested retail price: $149.33
This item is out of print and is no longer available for purchase.

The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition to helping students visualize the math with side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros, and solutions, both visually and algebraically.

  • Functions Early and Integrated–This is the only non-graphing-calculator-required book on the market that introduces functions in Chapter 1 and thus sets BPB apart.
  • Algebraic and Visual Side-by-Sides–Examples are worked out both algebraically and visually to increase student understanding of the concepts. Additionally, seeing these side-by-sides helps students make the connection between the algebraic manipulation and the graphical interpretation.
  • Zeros, Solutions, and x -Intercepts Theme–This theme allows students to reach a new level of mathematical comprehension through connecting the concepts of the real zeros of the function, the solutions of the associated equation, and the x-coordinates of the x-intercept of the graph of the function.
  • Technology Connection–Throughout each chapter, optional Technology Connections guide students in the use of the graphing calculator as another way to solve and check problems.
  • Review Icon–This provides the student with a reference to a related section. The student can then go there to review a concept being used in the current section.
  • Study Tips–These consist of occasional, brief reminders in the margin that promote effective study habits.
  • Connecting the Concepts–Comprehension is streamlined and retention is maximized when the student views a concept in a visual, rather than paragraph, form. Combining design and art, this feature highlights the importance of connecting concepts. Its visual aspect invites the student to stop and check that he or she has understood how the concepts of a section or several sections work together.

  • Visualizing the Graph–This new feature asks students to match an equation with its graph. This focus on visualization and conceptual understanding appears in every chapter to help students see “the big picture.”
  • More Focus on Graphs–Throughout the text, there is an increased focus on graphs and graphing, again reminding students how helpful visualization can be in the discipline of mathematics. In particular, graphing of polynomial functions by hand has been added and emphasized in Section 3.1 at the request of reviewers.
  • Reorganization of Material–Section 1.5 has been split into two sections, 1.5 and 1.6. Composition of functions has been moved from Section 4.1 to 1.6, where it appears with the material on the algebra of functions.
  • Vocabulary Drill–Appearing once in every chapter, in the Skill Maintenance portion of an exercise set, this feature checks and reviews students' understanding of the language of mathematics.
  • Classify the Function–With a focus on conceptual understanding, students are asked one time per chapter to identify a number of functions by their type (i. e., linear, quadratic, rational, and so forth). As students progress through the text, the variety of functions they know increases and these exercises become more challenging. These exercises appear with the review exercises in the Skill Maintenance portion of an exercise set.
  • Over 1000 New Exercises–The authors have worked hard to add additional exercises, where needed and often at the request of reviewers, on key topics throughout the text.
  • Appendix Covering Basic Concepts from Geometry–New to this edition is an appendix covering basic concepts from geometry that students need to know in order to work with topics pertaining to angles and triangles.
  • New Annotated Instructor¿¿¿s Edition –This special edition of the text provides answers to almost all text exercises in color on the page that the exercise appears. This provides the instructor with immediate access to answers without searching the back of the book.

R. Basic Concepts of Algebra.

The Real-Number System.

Integer Exponents, Scientific Notation, and Order of Operations.

Addition, Subtraction, and Multiplication of Polynomials.

Factoring.

Rational Expressions.

Radical Notation and Rational Exponents.



1. Graphs, Functions, and Models.

Introduction to Graphing.

Functions and Graphs.

Linear Functions, Slope, and Applications.

Equations of Lines and Modeling.

More on Functions.

The Algebra of Functions.

Symmetry and Transformations.



2. Functions, Equations, and Inequalities.

Linear Equations, Functions, and Models.

The Complex Numbers.

Quadratic Equations, Functions, and Models.

Analyzing Graphs of Quadratic Functions.

More Equation Solving.

Solving Linear Inequalities.



3. Polynomial and Rational Functions.

Polynomial Functions and Models.

Polynomial Division; The Remainder and Factor Theorems.

Theorems about Zeros of Polynomial Functions.

Rational Functions.

Polynomial and Rational Inequalities.

Variation and Applications.



4. Exponential and Logarithmic Functions.

Inverse Functions.

Exponential Functions and Graphs.

Logarithmic Functions and Graphs.

Properties of Logarithmic Functions.

Solving Exponential and Logarithmic Equations.

Applications and Models: Growth and Decay.



5. The Trigonometric Functions.

Trigonometric Functions of Acute Angles.

Applications of Right Triangles.

Trigonometric Functions of Any Angle.

Radians, Arc Length, and Angular Speed.

Circular Functions: Graphs and Properties.

Graphs of Transformed Sine and Cosine Functions.



6. Trigonometric Identities, Inverse Functions, and Equations.

Identities: Pythagorean and Sum and Difference.

Identities: Cofunction, Double-Angle, and Half-Angle.

Proving Trigonometric Identities.

Inverses of the Trigonometric Functions.

Solving Trigonometric Equations.



7. Applications of Trigonometry.

The Law of Sines.

The Law of Cosines.

Complex Numbers: Trigonometric Form.

Polar Coordinates and Graphs.

Vectors and Applications.

Vector Operations.



8. Systems of Equations and Matrices.

Systems of Equations in Two Variables.

Systems of Equations in Three Variables.

Matrices and Systems of Equations.

Matrix Operations.

Inverses of Matrices.

Determinants and Cramer's Rule.

Systems of Inequalities and Linear Programming.

Partial Fractions.



9. Conic Sections.

The Parabola.

The Circle and the Ellipse.

The Hyperbola.

Nonlinear Systems of Equations.



10. Sequences, Series, and Combinatorics.

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Mathematical Induction.

Combinatorics: Permutations.

Combinatorics: Combinations.

The Binomial Theorem.

Probability.



11 Appendix A.Basic Concepts from Geometry


12 Appendix B. Parametric Equations

    These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

  • 0321460065Precalculus, 3/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Cloth; 1072 pages | Instock
    ISBN-10: 0321460065 | ISBN-13: 9780321460066
    Brief Description | Buy from myPearsonStore

Judy Beecher has an undergraduate degree in mathematics fromIndiana University and a graduate degree in mathematics fromPurdue University. She has taught at both the high school andcollege levels with many years of developmental math and precalculusteaching experience at Indiana University Purdue University Indianapolis. Inaddition to her career in textbook publishing,she spends time reading, traveling, attending the theater, and promotingcharity projects for a children's camp.

Judy Penna received her undergraduate degree from Kansas State University in mathematics and her graduate degree from the University of Illinois in mathematics. Since then, she has taught at Indiana University Purdue University Indianapolis and at Butler University, and continues to focus on writing quality textbooks for undergraduates students taking mathematics. In her free time she likes to travel, read, knit and spend time throughout the U.S. with her children.

Marvin Bittinger For over thirty years Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968 he has been employed as a professor of mathematics education at Indiana University - Purdue University at Indianapolis. Professor Bittinger has authored 159 publications on topics ranging from Basic Mathematics to Algebra and Trigonometry to Brief Calculus. He received his BA in Mathematics from Manchester College in 1963 and his PhD in Mathematics Education from Purdue University in 1968. Special honors include being Distinguished Visiting Professor at the United States Air Force Academy and being elected to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking, baseball, golf, and bowling and he enjoys membership in the Professional Bowler's Association and the Society for the Advancement of Baseball Research.

Professor Bittinger has also had the privilege of speaking at a recent mathematics convention giving a lecture entitled, Baseball and Mathematics. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and three grandchildren.

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  • MathXL, 2/E
    Beecher, Penna & Bittinger
    © 2005 | Addison-Wesley | On-line Supplement | Instock
    ISBN-10: 0321237048 | ISBN-13: 9780321237040


  • MyMathLab Online Course, 2/E
    Beecher, Penna & Bittinger
    © 2005 | Addison-Wesley | On-line Supplement | Instock
    ISBN-10: 0321238222 | ISBN-13: 9780321238221
    URL: http://www.mymathlab.com

    Availability: Now! | Student Access Type: Access Code Required
    Request Content                Take a Tour                  More Information



  • MyMathLab/MyStatLab Instructor Access Kit, 4/E
    Addison-Wesley
    © 2008 | Addison-Wesley | Paper Package | Instock
    ISBN-10: 0321199928 | ISBN-13: 9780321199928


  • Online Supplement, 2/E
    Beecher, Penna & Bittinger
    © 2005 | Addison-Wesley | On-line Supplement | Estimated Availability: 09/01/2004
    ISBN-10: 0321424468 | ISBN-13: 9780321424464


  • Power Point, 2/E
    Beecher, Penna & Bittinger
    © 2005 | Addison-Wesley | Electronic Supplement | Estimated Availability: 10/01/2004
    ISBN-10: 0321334841 | ISBN-13: 9780321334848

    Power Point, 2/E
    Beecher, Penna & Bittinger
    © 2005 | Addison-Wesley | Electronic Supplement | Estimated Availability: 10/01/2004
    ISBN-10: 0321334841 | ISBN-13: 9780321334848

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For Precalculus Mathematics


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This title is a member of the Beecher/Penna/Bittinger Series, which also contains the titles below . You can also visit the Beecher/Penna/Bittinger Series page.

    These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

  • 0321466209Algebra and Trigonometry, 3/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Cloth; 1072 pages | Instock
    ISBN-10: 0321466209 | ISBN-13: 9780321466204
    Brief Description | Buy from myPearsonStore

    • These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.
  • 0321466071College Algebra, 3/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Cloth; 800 pages | Instock
    ISBN-10: 0321466071 | ISBN-13: 9780321466075
    Brief Description | Buy from myPearsonStore

    • These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

  • 0321460065Precalculus, 3/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Cloth; 1072 pages | Instock
    ISBN-10: 0321460065 | ISBN-13: 9780321460066
    Brief Description | Buy from myPearsonStore

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.


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