College Algebra / Edition 3

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Overview

Exceptionally accessible and user-friendly, this introduction to college algebra features an abundance of interesting real-world applications that relate to readers' everyday lives. Filled with scenarios, examples, study tips, exercises, etc., it takes the intimidation out of learning algebra, and gets readers up to speed quickly and painlessly. Prerequisites: Fundamental Concepts of Algebra. Equations, Inequalities, and Mathematical Models. Functions and Graphs. Polynomial and Rational Functions. Exponential and Logarithmic Functions. Systems of Equations and Inequalities. Matrices and Determinants. Conic Sections. Sequences, Induction, and Probability. For anyone wanting a user-friendly introduction to college algebra.
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Product Details

  • ISBN-13: 9780131013650
  • Publisher: Prentice Hall
  • Publication date: 2/17/2003
  • Edition description: Older Edition
  • Edition number: 3
  • Pages: 816
  • Product dimensions: 8.22 (w) x 10.20 (h) x 1.26 (d)

Read an Excerpt

PREFACE:

Preface

Today's college algebra students are a diverse group. Some are going on into precalculus, calculus, or other math sequences, whereas others will complete their math requirements with this course. This text is designed and written to help both sets of students succeed. The book has three fundamental goals: First, to help students acquire a solid foundation in college algebra, preparing them for other college courses such as calculus, business calculus, finite mathematics, and computer science; second, to show students how algebra can model and solve authentic real-world problems; and third, to enable students to develop problem-solving skills, fostering critical thinking within a varied and interesting setting.

Writing The Second Edition

A source of frustration for me and my colleagues is that very few students read their textbook. When I ask students why they do not take full advantage of the text, their responses generally fall into two categories:

  • "I cannot follow the explanations."
  • "The applications are not interesting."

I thought about both of these objections in writing every page of the Second Edition.

"I can't follow the explanations." For many of my students, textbook explanations are too compressed. The chapters in the Second Edition have been extensively rewritten to make them more accessible. I have paid close attention to ensuring that the amount of detail and depth of coverage is appropriate for a liberal arts college algebra course. Every section has been rewritten to contain a better range of simple, intermediate, and challenging examples. Voiceballoons allow for more specific annotations in examples, further clarifying procedures and concepts. A more open format with a softer color palette gives the book a less crowded look than the First Edition.

"The applications are not interesting." One of the things I enjoy most about teaching in a large urban community college is the diversity of who my students are and what interests them. Real-world data that celebrate this variety are used to bring relevance to examples, discussions, and applications. All data from the previous edition have been replaced to include data that extend as far up to the present as possible. I selected all updated real-world data to be interesting and intriguing to students. By connecting algebra to the whole spectrum of their interests, it is my intent to show students that their world is profoundly mathematical and, indeed, pi is in the sky.

Student Supplements

Student Solutions Manual (0-13-089410-9); (8941K-1) Includes fully worked out solutions to most of the odd-numbered exercises in the text as well as all exercises in chapter tests and all review exercises.

MathPak Integrated Learning Environment (0-13-088267-4); (88266-0) Contains the College Algebra MathPro 4.0 along with a passcode-protected Website specifically designed to accompany this text. This product combines the series' key supplements into a comprehensive, easy-to-navigate package. Materials on the Website include but are not limited to: Section-by-section reading quizzes, Section-by-Section Powerpoint downloads, additional chapter projects, Chapter Quizzes and Tests, Student Solutions Manuals presented by chapter (exactly what is in the print version), Chapter Destinations and to interesting math Websites, and Graphing Calculator Manuals for the full line of TI's, Sharp, HP, and Casio Calculators.

MathPro4 Network Version The best algorithmic tutorial software on the market – MathPro steps the student objective by objective, section by section, throughout the entire College Algebra text, including the Appendix review materials. Students can benefit from over 100 Quicklime instructional segments video.

MathPro4 Network Version (0-13-088269-0); (8826J-3)

Review Videos (0-13-088264-X); (8826D-7) Section-by-section videos written by and highlighting Jacquelyn White of St. Leo College. Each segment covers approximately 20 minutes of the key concepts and examples for each section. Each set of videos comes with a permissions letter allowing the school to duplicate for specific campus needs.

Precalculus Investigations/Simundza, et al. (013-010954-1); (1095D-6) A three year NSF-funded project integrates an applied approach to the topics in the Precalculus curriculum via applied projects The investigations reflect the AMATYC and NCTM Standards in both curriculum content and pedagogy.

Companion Website (www.prenhall.com/blitzer) This CW address will lead to the bridge page for all of the Blitzer titles. On the CW sites (which are different than the MathPak sites) are the following: Chapter Quizzes, Chapter Tests, Projects, Graphing Calculator Manual, Destinations, and PowerPoints.

WebCT/Blackboard Contains all the materials from the MathPak website (i.e., no MathPro) plus testing materials. Can be made available in Blackboard on adoption.

Instructor Supplements

Instructor's Edition (0-13-089417-6); (89416-0) Includes full student text as well as the full set of answers at the back of the text for both odds and even exercises.

Instructor's Resource Manual (0-13-089418-4); (8941H-8) The College Algebra IRM contains the full solutions to the even-numbered exercises in the text. The Precalculus IRM contains solutions to both the odd- and the even-numbered exercises in the text.

TestGen-EQ WINIMAC CD (0-13-088260-7); (8826K-1) New to Prentice Hall Mathematics is the use of TestGen EQ for our mathematics testing. TestGen-EQ is a fully algorithmic, easy-to-use software program written and based on the section objectives in the text.

Test Item File (0-13-089421-4); (8942A-2) A hard-copy version of materials derived from the TestGen-EQ program.

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Table of Contents

(*Each chapter ends with Summary, Review Exercises, and Chapter Test sections.)
P. Prerequisites: Fundamental Concepts of Algebra.

Real Numbers and Algebraic Expressions. Exponents and Scientific Notation. Radicals and Rational Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Complex Numbers. Graphs and Graphing Utilities.

1. Equations, Inequalities, and Mathematical Models.
Linear Equations. Formulas and Applications. Quadratic Equations. Other Types of Equations. Linear Inequalities. Quadratic and Rational Inequalities.

2. Functions and Graphs.
Lines and Slope. Parallel and Perpendicular Lines and Circles. Introduction to Functions. Graphs of Functions. Transformations and Combinations of Functions. Composite and Inverse Functions.

3. Polynomial and Rational Functions.
Quadratic Functions. Polynomial Functions and Their Graphs. Dividing Polynomials: Remainder and Factor Theorems. Zeros of Polynomial Functions. More on Zeros of Polynomial Functions. Rational Functions and Their Graphs. Modeling Using Variation.

4. Exponential and Logarithmic Functions.
Exponential Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions.

5. Systems of Equations and Inequalities.
Systems of LinearEquations in Two Variables. Systems of Linear Equations in Three Variables. Partial Fractions. Systems of Nonlinear Equations in Two Variables. Systems of Inequalities. Linear Programming.

6. Matrices and Determinants.
Matrix Solutions to Linear Systems. Inconsistent and Dependent Systems and Their Applications. Matrix Operations and Their Applications. Multiplicative Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule.

7. Conic Sections.
The Ellipse. The Hyperbola. The Parabola.

8. Sequences, Induction, and Probability.
Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Counting Principles, Permutations, and Combinations. Probability.

Appendix: Where Did That Come From? Selected Proofs.
Answers to Selected Exercises.
Subject Index.
Photo Credits.
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Preface

Preface

Today's college algebra students are a diverse group. Some are going on into precalculus, calculus, or other math sequences, whereas others will complete their math requirements with this course. This text is designed and written to help both sets of students succeed. The book has three fundamental goals: First, to help students acquire a solid foundation in college algebra, preparing them for other college courses such as calculus, business calculus, finite mathematics, and computer science; second, to show students how algebra can model and solve authentic real-world problems; and third, to enable students to develop problem-solving skills, fostering critical thinking within a varied and interesting setting.

Writing The Second Edition

A source of frustration for me and my colleagues is that very few students read their textbook. When I ask students why they do not take full advantage of the text, their responses generally fall into two categories:

  • "I cannot follow the explanations."
  • "The applications are not interesting."

I thought about both of these objections in writing every page of the Second Edition.

"I can't follow the explanations." For many of my students, textbook explanations are too compressed. The chapters in the Second Edition have been extensively rewritten to make them more accessible. I have paid close attention to ensuring that the amount of detail and depth of coverage is appropriate for a liberal arts college algebra course. Every section has been rewritten to contain a better range of simple, intermediate, and challenging examples. Voice balloonsallow for more specific annotations in examples, further clarifying procedures and concepts. A more open format with a softer color palette gives the book a less crowded look than the First Edition.

"The applications are not interesting." One of the things I enjoy most about teaching in a large urban community college is the diversity of who my students are and what interests them. Real-world data that celebrate this variety are used to bring relevance to examples, discussions, and applications. All data from the previous edition have been replaced to include data that extend as far up to the present as possible. I selected all updated real-world data to be interesting and intriguing to students. By connecting algebra to the whole spectrum of their interests, it is my intent to show students that their world is profoundly mathematical and, indeed, pi is in the sky.

Student Supplements

Student Solutions Manual (0-13-089410-9); (8941K-1) Includes fully worked out solutions to most of the odd-numbered exercises in the text as well as all exercises in chapter tests and all review exercises.

MathPak Integrated Learning Environment (0-13-088267-4); (88266-0) Contains the College Algebra MathPro 4.0 along with a passcode-protected Website specifically designed to accompany this text. This product combines the series' key supplements into a comprehensive, easy-to-navigate package. Materials on the Website include but are not limited to: Section-by-section reading quizzes, Section-by-Section Powerpoint downloads, additional chapter projects, Chapter Quizzes and Tests, Student Solutions Manuals presented by chapter (exactly what is in the print version), Chapter Destinations and to interesting math Websites, and Graphing Calculator Manuals for the full line of TI's, Sharp, HP, and Casio Calculators.

MathPro4 Network Version The best algorithmic tutorial software on the market – MathPro steps the student objective by objective, section by section, throughout the entire College Algebra text, including the Appendix review materials. Students can benefit from over 100 Quicklime instructional segments video.

MathPro4 Network Version (0-13-088269-0); (8826J-3)

Review Videos (0-13-088264-X); (8826D-7) Section-by-section videos written by and highlighting Jacquelyn White of St. Leo College. Each segment covers approximately 20 minutes of the key concepts and examples for each section. Each set of videos comes with a permissions letter allowing the school to duplicate for specific campus needs.

Precalculus Investigations/Simundza, et al. (013-010954-1); (1095D-6) A three year NSF-funded project integrates an applied approach to the topics in the Precalculus curriculum via applied projects The investigations reflect the AMATYC and NCTM Standards in both curriculum content and pedagogy.

Companion Website (www.prenhall.com/blitzer) This CW address will lead to the bridge page for all of the Blitzer titles. On the CW sites (which are different than the MathPak sites) are the following: Chapter Quizzes, Chapter Tests, Projects, Graphing Calculator Manual, Destinations, and PowerPoints.

WebCT/Blackboard Contains all the materials from the MathPak website (i.e., no MathPro) plus testing materials. Can be made available in Blackboard on adoption.

Instructor Supplements

Instructor's Edition (0-13-089417-6); (89416-0) Includes full student text as well as the full set of answers at the back of the text for both odds and even exercises.

Instructor's Resource Manual (0-13-089418-4); (8941H-8) The College Algebra IRM contains the full solutions to the even-numbered exercises in the text. The Precalculus IRM contains solutions to both the odd- and the even-numbered exercises in the text.

TestGen-EQ WINIMAC CD (0-13-088260-7); (8826K-1) New to Prentice Hall Mathematics is the use of TestGen EQ for our mathematics testing. TestGen-EQ is a fully algorithmic, easy-to-use software program written and based on the section objectives in the text.

Test Item File (0-13-089421-4); (8942A-2) A hard-copy version of materials derived from the TestGen-EQ program.

Read More Show Less

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