Precalculus: Graphs and Models Graphing Calculator Manual Package, 3/E
Marvin L. Bittinger, Indiana University Purdue University Indianapolis
Judith A. Beecher, Indiana University Purdue University Indianapolis
David J. Ellenbogen, Community College of Vermont
Judith A. Penna, Indiana University Purdue University Indianapolis

ISBN-10: 0321292669
ISBN-13: 9780321292667

Publisher: Addison-Wesley
Copyright: 2006
Format: Cloth Package; 1056 pp
Published: 03/02/2005

This item has been replaced by Precalculus: Graphs & Models and Graphing Calculator Manual Package, 4/E .

With a visual, graphical approach that emphasizes connections among concepts, this text helps students make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead students to the ultimate goal of mastery and success in class.


  • Zeros, Solutions, and x-Intercepts Theme – This theme allows students to reach a new level of mathematical comprehension through understanding the connections among all three concepts.
  • 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.
  • 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.
  • Review Icon – This provides the student with a reference to a related section. The student can then go to the related, previous section to review a concept being used in the current section.
  • Study Tips – These consist of occasional, brief reminders in the margins that promote effective study habits.

  • 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.”
  • Where appropriate, a Graphing Calculator Manual Icon will appear in the text, directing students to additional information in the manual about calculator usage. The Graphing Calculator Manual is bundled free with all copies of the main text.
  • 25% More Exercises: The authors have worked hard to add additional exercises where needed, often at the request of reviewers, on key topics throughout the text.
  • Vocabulary Review: 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.
  • Each chapter now concludes with a Chapter Test to thoroughly check students’ comprehension.
  • Annotated Instructor’s Edition: For the first time, this text is available with an AIE that includes the answers to the exercises on the page where they occur (whenever possible) as well as teaching tips throughout.

Content Changes:

  • Introduction to Graphing is now in section 1.1 and is combined with material from the previous section 1.7 (Distance, Midpoints, and Circles).
  • Old section 1.3 (Modeling: Data Analysis, Curve Fitting, and Linear Regression) and old section 2.5 (Modeling: Data Analysis, Curve Fitting, and Quadratic Regression) are now part of sections 1.4 (Equations of Lines and Modeling) and 2.3 (Quadratic Equations, Functions, and Models) respectively.
  • Old section 1.4 (More on Functions) is split into two sections: 1.5 (More on Functions) and 1.6 (The Algebra of Functions).
  • Old section 1.6 (Variation and Applications) has been moved to section 3.7.
  • Old section 4.1 (Composite Functions) is now included in section 1.6 (The Algebra of Functions).     
  • There is a new section 3.2 (Graphing Polynomial Functions) for more coverage of hand-drawn graphs. 
  • Old Appendix A (Descartes' Rule of Signs) is now part of of section 3.4 (Theorems about Zeros of Polynomial Functions).
  • A new section 8.6 covers Determinants and Cramer’s Rule, which was formerly in Appendix B.
  • Chapter 9 has two new sections: 9.5 (Rotation of Axes) and 9.6 (Polar Equations of Conics).
  • Old Appendix C (Parametric Equations) is now section 9.7. 
  • A new Appendix A covers Basic Concepts from Geometry.

Chapter R: Basic Concepts of Algebra

R.1   The Real-Number System

R.2   Integer Exponents, Scientific Notation, and Order of Operations

R.3   Addition, Subtraction, and Multiplication of Polynomials

R.4   Factoring

R.5   Rational Expressions

R.6   Radical Notation and Rational Exponents

R.7   The Basics of Equation Solving

 

Chapter 1: Graphs, Functions, and Models

1.1   Introduction to Graphing

1.2   Functions and Graphs

1.3   Linear Functions, Slope, and Applications

1.4   Equations of Lines and Modeling

1.5   More on Functions

1.6   The Algebra of Functions

1.7   Symmetry and Transformations


Chapter 2: Functions, Equations, and Inequalities

2.1   Linear Equations, Functions, and Models

2.2   The Complex Numbers

2.3   Quadratic Equations, Functions, and Models

2.4   Analyzing Graphs of Quadratic Functions

2.5   More Equation Solving

2.6   Solving Linear Inequalities


Chapter 3: Polynomial and Rational Functions

3.1   Polynomial Functions and Models

3.2   Graphing Polynomial Functions

3.3   Polynomial Division; The Remainder and Factor Theorems

3.4   Theorems about Zeros of Polynomial Functions

3.5   Rational Functions

3.6   Polynomial and Rational Inequalities

3.7   Variation and Applications

 

Chapter 4: Exponential and Logarithmic Functions

4.1   Inverse Functions

4.2   Exponential Functions and Graphs

4.3   Logarithmic Functions and Graphs

4.4   Properties of Logarithmic Functions

4.5   Solving Exponential and Logarithmic Equations

4.6   Applications and Models: Growth and Decay; Compound Interest 

 

Chapter 5: The Trigonometric Functions

5.1   Trigonometric Function of Acute Angles

5.2   Applications of Right Triangles

5.3   Trigonometric Functions of Any Angle

5.4   Radians, Arc Length, and Angular Speed

5.5   Circular Functions: Graphs and Properties

5.6   Graphs of Transformed Sine and Cosine Functions

 

Chapter 6: Trigonometric Identities, Inverse Functions, and Equations

6.1   Identities: Pythagorean and Sum and Difference

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

6.3   Proving Trigonometric Identities

6.4   Inverses of the Trigonometric Functions

6.5   Solving Trigonometric Equations

 

Chapter 7: Applications of Trigonometry

7.1   The Law of Sines

7.2   The Law of Cosines

7.3   Complex Numbers: Trigonometric Form

7.4   Polar Coordinates and Graphs

7.5   Vectors and Applications

7.6   Vector Operations

 

Chapter 8: Systems of Equations and Matrices

8.1   Systems of Equations in Two Variables

8.2   Systems of Equations in Three Variables

8.3   Matrices and Systems of Equations

8.4   Matrix Operations

8.5   Inverses of Matrices

8.6   Determinants and Cramer's Rule

8.7   Systems of Inequalities and Linear Programming

8.8   Partial Fractions


Chapter 9: Analytic Geometry Topics

9.1   The Parabola

9.2   The Circle and the Ellipse

9.3   The Hyperbola

9.4   Nonlinear Systems of Equations and Inequalities 

9.5   Rotation of Axes

9.6   Polar Equations of Conics

9.7   Parametric Equations


Chapter 10: Sequences, Series, and Combinatorics

10.1   Sequences and Series

10.2   Arithmetic Sequences and Series

10.3   Geometric Sequences and Series

10.4   Mathematical Induction

10.5   Combinatorics: Permutations

10.6   Combinatorics: Combinations

10.7   The Binomial Theorem

10.8   Probability 

 

Appendix   Basic Concepts of Geometry

    The authors help students "see the math" through their focus on functions; visual emphasis; side-by-side algebraic and graphical solutions; real-data applications; and examples and exercises. By remaining focused on today's students and their needs, the authors lead students to mathematical understanding and, ultimately, success in class.
  • 0321501527Precalculus: Graphs & Models and Graphing Calculator Manual Package, 4/E
    Bittinger, Beecher, Ellenbogen & Penna
    © 2009 | Addison-Wesley | Cloth Package; 1152 pages | Instock
    ISBN-10: 0321501527 | ISBN-13: 9780321501523
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