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Addison-Wesley / Prentice Hall

Mathematics

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Intermediate Algebra: Concepts and Applications, 7/E
Marvin L. BittingerIndiana University Purdue University Indianapolis
David J. EllenbogenCommunity College of Vermont

ISBN-10: 0321233867
ISBN-13:  9780321233868

Publisher:  Pearson
Copyright:  2006
Format:  Cloth; 872 pp
Published:  02/15/2005

The goal of Intermediate Algebra: Concepts and Applications, 7e is to help today’s students learn and retain mathematical concepts by preparing them for the transition from “skills-oriented” intermediate algebra courses to more “concept-oriented” college-level mathematics courses, as well as to make the transition from “skill” to “application.” This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This edition has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics more accessible to students. Among the features added are new Concept Reinforcement exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter.



This product accompanies:
Bittinger & Ellenbogen,  Intermediate Algebra: Concepts and Applications, 8/E

  • Connecting the Concepts feature highlights the importance of connecting concepts and invites students to pause and check that they understand the “big picture.” This helps ensure that students understand how concepts work together in several sections at once. For example, students are alerted to shifts made from solving equations to writing equivalent expressions. The pacing of this feature helps students increase their comprehension and maximize their retention of key concepts.
  • Chapter Openers Each chapter opens with a list of the sections to be covered and a real-life application that includes a testimonial from a person in that field to show how integral mathematics is in solving real problems. Real data is often used in these applications as well as in many other exercises and “on the job” examples (like those that students might find in the workforce) to increase student interest.
  • Aha! In many exercise sets, students will see an Aha! icon. This icon indicates to students that there is a simpler way to complete the exercise without going through a lengthy computation. It's then up to the student to discover that simpler approach. The Aha! icon is used the first time a new insight can be used on a particular type of exercise. After that first time, it's up to the student to determine if and when that particular insight can be reused.
  • Optional Collaborative Corners give students the opportunity to work as a group to solve problems or to perform specially designed activities. There are approximately two Collaborative Corners per chapter, each one appearing after the appropriate exercise set.
  • Optional Technology Connections appear throughout each chapter to help students visualize, through the use of technology, a concept that they have just learned. This feature is reinforced in many exercise sets through exercises marked with a graphing calculator icon.
  • 5-Step Problem-Solving Process A hallmark feature to all Bittinger Texts, the 5-step problem-solving process  is introduced early in the text and then modeled in every application problem throughout the rest of the text, providing students with a foundation for starting and completing the problem-solving process.

  • Study Skills These remarks, located in the margins near the start of each section, provide suggestions for successful study habits and can be extended to courses other than algebra.   Ranging from ideas for better time management to how to prepare for tests, these comments can be useful to even experience college students.

  • Concept Reinforcement Exercises This feature is designed to help students build their confidence and comprehension through True/False, matching, and fill-in-the-blank exercises at the start of each exercise set. When appropriate, special attention is devoted to increasing student understanding of the new vocabulary and notation developed in that section.
  • Student Notes These comments, strategically located in the margins within each section, are specific to the mathematics appearing on that page. Remarks are more casual in format than the typical exposition and range from suggestions on how to avoid common mistakes to how to best read new notation.
  • Study Summary Each chapter closes with a Study Summary in which the authors highlight the most important concepts and terminology from that chapter for easy reference when test time comes around. This provides another opportunity for students to practice using new vocabulary.

Note: Each chapter ends with a Study Summary, Review Exercises, and a Chapter Test. A Cumulative Review is provided after Chapters 3, 6, 9, and 11.

 

Chapter 1   Algebra and Problem Solving

Some Basics of Algebra

Operations and Properties of Real Numbers

Solving Equations

Connecting the Concepts

Introduction to Problem Solving

Formulas, Models, and Geometry

Properties of Exponents

Scientific Notation

Chapter 2   Graphs, Functions, and Linear Equations

Graphs

Functions

Linear Functions:   Slope, Graphs, and Models

Another Look at Linear Graphs

Other Equations of Lines

Connecting the Concepts

The Algebra of Functions

Chapter 3   Systems of Equations and Problem Solving

Systems of Equations in Two Variables

Solving by Substitution or Elimination

Connecting the Concepts

Solving Applications:   Systems of Two Equations

Systems of Equations in Three Variables

Connecting the Concepts

Solving Applications:   Systems of Three Equations

Elimination Using Matrices

Determinants and Cramer’s Rule

Business and Economics Applications

Chapter 4   Inequalities and Problem Solving

Inequalities and Applications

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Connecting the Concepts

Applications Using Linear Programming

Chapter 5   Polynomials and Polynomial Functions

Introduction to Polynomials and Polynomial Functions

Connecting the Concepts

Multiplication of Polynomials

Common Factors and Factoring by Grouping

Connecting the Concepts

Factoring Trinomials

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Applications of Polynomial Equations

Chapter 6   Rational Expressions, Equations, and Functions

Rational Expressions and Functions:   Multiplying and Dividing

Rational Expressions and Functions:   Adding and Subtracting

Complex Rational Expressions

Rational Equations

Solving Applications Using Rational Equations

Division of Polynomials

Formulas, Applications, and Variation

Chapter 7   Exponents and Radicals

Radical Expressions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Dividing Radical Expressions

Expressions Containing Several Radical Terms

Solving Radical Equations

Connecting the Concepts

Geometric Applications

The Complex Numbers

Chapter 8   Quadratic Functions and Equations

Quadratic Equations

The Quadratic Formula

Applications Involving Quadratic Equations

Studying Solutions of Quadratic Equations

Equations Reducible to Quadratic

Quadratic Functions and Their Graphs

Connecting the Concepts

More About Graphing Quadratic Functions

Problem Solving and Quadratic Functions

Polynomial and Rational Inequalities

Chapter 9   Exponential and Logarithmic Functions

Composite and Inverse Functions

Exponential Functions

Connecting the Concepts

Logarithmic Functions

Properties of Logarithmic Functions

Common and Natural Logarithms

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

Chapter 10   Conic Sections

Conic Sections: Parabolas and Circles

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Connecting the Concepts

Nonlinear Systems of Equations 

Chapter 11 Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

Connecting the Concepts

 

Appendix:   The Graphing Calculator

Answers

Glossary

Index

Index of Applications

 

  

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  • 9780321512062
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    ISBN-10: 0321512065 | ISBN-13: 9780321512062

  • 9780321643841
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    Bittinger & Ellenbogen
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    ISBN-10: 0321643844 | ISBN-13: 9780321643841

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