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More About This Textbook
Overview
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Meet the Author
Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at MiamiDade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at MiamiDade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, Precalculus, and Trigonometry all published by Pearson.
Read an Excerpt
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 realworld problems; and third, to enable students to develop problemsolving 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 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. Realworld 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 realworld 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 (0130894109); (8941K1) Includes fully worked out solutions to most of the oddnumbered exercises in the text as well as all exercises in chapter tests and all review exercises.
MathPak Integrated Learning Environment (0130882674); (882660) Contains the College Algebra MathPro 4.0 along with a passcodeprotected Website specifically designed to accompany this text. This product combines the series' key supplements into a comprehensive, easytonavigate package. Materials on the Website include but are not limited to: Sectionbysection reading quizzes, SectionbySection 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 (0130882690); (8826J3)
Review Videos (013088264X); (8826D7) Sectionbysection 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. (0130109541); (1095D6) A three year NSFfunded 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 (0130894176); (894160) 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 (0130894184); (8941H8) The College Algebra IRM contains the full solutions to the evennumbered exercises in the text. The Precalculus IRM contains solutions to both the odd and the evennumbered exercises in the text.
TestGenEQ WINIMAC CD (0130882607); (8826K1) New to Prentice Hall Mathematics is the use of TestGen EQ for our mathematics testing. TestGenEQ is a fully algorithmic, easytouse software program written and based on the section objectives in the text.
Test Item File (0130894214); (8942A2) A hardcopy version of materials derived from the TestGenEQ program.
Table of Contents
P. Prerequisites: Fundamental Concepts of Algebra
P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
P.2 Exponents and Scientific Notation
P.3 Radicals and Rational Exponents
P.4 Polynomials
MidChapter Check Point
P.5 Factoring Polynomials
P.6 Rational Expressions
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER P TEST
1. Equations and Inequalities
1.1 Graphs and Graphing Utilities
1.2 Linear Equations and Rational Equations
1.3 Models and Applications
1.4 Complex Numbers
1.5 Quadratic Equations
MidChapter Check Point
1.6 Other Types of Equations
1.7 Linear Inequalities and Absolute Value Inequalities
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 1 TEST
2. Functions and Graphs
2.1 Basics of Functions and Their Graphs
2.2 More on Functions and Their Graphs
2.3 Linear Functions and Slope
2.4 More on Slope
MidChapter Check Point
2.5 Transformations of Functions
2.6 Combinations of Functions; Composite Functions
2.7 Inverse Functions
2.8 Distance and Midpoint Formulas; Circles
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 2 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 12)
3. Polynomial and Rational Functions
3.1 Quadratic Functions
3.2 Polynomial Functions and Their Graphs
3.3 Dividing Polynomials; Remainder and Factor Theorems
3.4 Zeros of Polynomial Functions
MidChapter Check Point
3.5 Rational Functions and Their Graphs
3.6 Polynomial and Rational Inequalities
3.7 Modeling Using Variation
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 3 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 13) 410
4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Properties of Logarithms
MidChapter Check Point
4.4 Exponential and Logarithmic Equations
4.5 Exponential Growth and Decay; Modeling Data
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 4 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 14)
5. Systems of Equations and Inequalities
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in Three Variables
5.3 Partial Fractions
5.4 Systems of Nonlinear Equations in Two Variables
MidChapter Check Point
5.5 Systems of Inequalities
5.6 Linear Programming
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 5 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 15)
6. Matrices and Determinants
6.1 Matrix Solutions to Linear Systems
6.2 Inconsistent and Dependent Systems and Their Applications
6.3 Matrix Operations and Their Applications
MidChapter Check Point
6.4 Multiplicative Inverses of Matrices and Matrix Equations
6.5 Determinants and Cramer's Rule
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 6 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 16)
7. Conic Sections
7.1 The Ellipse
7.2 The Hyperbola
MidChapter Check Point
7.3 The Parabola
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 7 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 17)
8. Sequences, Induction, and Probability
8.1 Sequences and Summation Notation
8.2 Arithmetic Sequences
8.3 Geometric Sequences and Series
MidChapter Check Point
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles, Permutations, and Combinations
8.7 Probability
SUMMARY, REVIEW, AND TEST
REVIEW EXERCISES
CHAPTER 8 TEST
CUMULATIVE REVIEW EXERCISES (CHAPTERS 18)
Appendix: Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Subject Index
Photo Credits
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 realworld problems; and third, to enable students to develop problemsolving 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 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. Realworld 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 realworld 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 (0130894109); (8941K1) Includes fully worked out solutions to most of the oddnumbered exercises in the text as well as all exercises in chapter tests and all review exercises.
MathPak Integrated Learning Environment (0130882674); (882660) Contains the College Algebra MathPro 4.0 along with a passcodeprotected Website specifically designed to accompany this text. This product combines the series' key supplements into a comprehensive, easytonavigate package. Materials on the Website include but are not limited to: Sectionbysection reading quizzes, SectionbySection 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 (0130882690); (8826J3)
Review Videos (013088264X); (8826D7) Sectionbysection 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. (0130109541); (1095D6) A three year NSFfunded 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 (0130894176); (894160) 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 (0130894184); (8941H8) The College Algebra IRM contains the full solutions to the evennumbered exercises in the text. The Precalculus IRM contains solutions to both the odd and the evennumbered exercises in the text.
TestGenEQ WINIMAC CD (0130882607); (8826K1) New to Prentice Hall Mathematics is the use of TestGen EQ for our mathematics testing. TestGenEQ is a fully algorithmic, easytouse software program written and based on the section objectives in the text.
Test Item File (0130894214); (8942A2) A hardcopy version of materials derived from the TestGenEQ program.