ISBN-10:
0136028950
ISBN-13:
2900136028955
Pub. Date:
03/03/2008
Publisher:
Pearson
Introductory & Intermediate Algebra for College Students [With CDROM] / Edition 3

Introductory & Intermediate Algebra for College Students [With CDROM] / Edition 3

by Robert F. Blitzer
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  • Product Details

    ISBN-13: 2900136028955
    Publisher: Pearson
    Publication date: 03/03/2008
    Series: Blitzer Developmental Algebra Series
    Edition description: Older Edition
    Pages: 1029
    Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

    About 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’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Intermediate Algebra for College Students, Bob has written textbooks covering introductory algebra, college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Prentice Hall. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

    Table of Contents

    A Brief Guide to Getting the Most from This Book

    Preface

    To The Student

    About the Author

    1. Variables, Real Numbers, and Mathematical Models

    1.1 Introduction to Algebra: Variables and Mathematical Models

    1.2 Fractions in Algebra

    1.3 The Real Numbers

    1.4 Basic Rules of Algebra

    Mid-Chapter Check Point Section 1.1—Section 1.4

    1.5 Addition of Real Numbers

    1.6 Subtraction of Real Numbers

    1.7 Multiplication and Division of Real Numbers

    1.8 Exponents and Order of Operations

    Chapter 1 Group Project

    Chapter 1 Summary

    Chapter 1 Review Exercises

    Chapter 1 Chapter Test

    2. Linear Equations and Inequalities in One Variable

    2.1 The Addition Property of Equality

    2.2 The Multiplication Property of Equality

    2.3 Solving Linear Equations

    2.4 Formulas and Percents

    Mid-Chapter Check Point Section 2.1—Section 2.4

    2.5 An Introduction to Problem Solving

    2.6 Problem Solving in Geometry

    2.7 Solving Linear Inequalities

    Chapter 2 Group Project

    Chapter 2 Summary

    Chapter 2 Review Exercises

    Chapter 2 Test

    Cumulative Review Exercises (Chapters 1—2)

    3. Linear Equations in Two Variables

    3.1 Graphing Linear Equations in Two Variables

    3.2 Graphing Linear Equations Using Intercepts

    3.3 Slope

    3.4 The Slope-Intercept Form of the Equation of a Line

    Mid-Chapter Check Point Section 3.1—Section 3.4

    3.5 The Point-Slope Form of the Equation of a Line

    Chapter 3 Group Project

    Chapter 3 Summary

    Chapter 3 Review Exercises

    Chapter 3 Test

    Cumulative Review Exercises (Chapters 1—3)

    4. Systems of Linear Equations

    4.1 Solving Systems of Linear Equations by Graphing

    4.2 Solving Systems of Linear Equations by the Substitution Method

    4.3 Solving Systems of Linear Equations by the Addition Method

    Mid-Chapter Check Point Section 4.1—Section 4.3

    4.4 Problem Solving Using Systems of Equations

    4.5 Systems of Linear Equations in Three Variables

    Chapter 4 Group Project

    Chapter 4 Summary

    Chapter 4 Review Exercises

    Chapter 4 Test

    Cumulative Review Exercises (Chapters 1—4)

    5. Exponents and Polynomials

    5.1 Adding and Subtracting Polynomials

    5.2 Multiplying Polynomials

    5.3 Special Products

    5.4 Polynomials in Several Variables

    Mid-Chapter Check Point Section 5.1—Section 5.4

    5.5 Dividing Polynomials

    5.6 Long Division of Polynomials; Synthetic Division

    5.7 Negative Exponents and Scientific Notation

    Chapter 5 Group Project

    Chapter 5 Summary

    Chapter 5 Review Exercises

    Chapter 5 Test

    Cumulative Review Exercises (Chapters 1—5)

    6. Factoring Polynomials

    6.1 The Greatest Common Factor and Factoring By Grouping

    6.2 Factoring Trinomials Whose Leading Coefficient Is 1

    6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1

    Mid-Chapter Check Point Section 6.1—Section 6.3

    6.4 Factoring Special Forms

    6.5 A General Factoring Strategy

    6.6 Solving Quadratic Equations By Factoring

    Chapter 6 Group Project

    Chapter 6 Summary

    Chapter 6 Review Exercises

    Chapter 6 Test

    Cumulative Review Exercises (Chapters 1—6)

    7. Rational Expressions

    7.1 Rational Expressions and Their Simplification

    7.2 Multiplying and Dividing Rational Expressions

    7.3 Adding and Subtracting Rational Expressions with the Same Denominator

    7.4 Adding and Subtracting Rational Expressions with Different Denominators

    Mid-Chapter Check Point Section 7.1—Section 7.4

    7.5 Complex Rational Expressions

    7.6 Solving Rational Equations

    7.7 Applications Using Rational Equations and Proportions

    7.8 Modeling Using Variation

    Chapter 7 Group Project

    Chapter 7 Summary

    Chapter 7 Review Exercises

    Chapter 7 Test

    Cumulative Review Exercises (Chapters 1—7)

    Mid-Textbook Check Point

    8. Basics of Functions

    8.1 Introduction to Functions

    8.2 Graphs of Functions

    8.3 The Algebra of Functions

    Mid-Chapter Check Point Section 8.1—Section 8.3

    8.4 Composite and Inverse Functions

    Chapter 8 Group Project

    Chapter 8 Summary

    Chapter 8 Review Exercises

    Chapter 8 Test

    Cumulative Review Exercises (Chapters 1—8)

    9. Inequalities and Problem Solving

    9.1 Business Applications Using Linear Inequalities

    9.2 Compound Inequalities

    9.3 Equations and Inequalities Involving Absolute Value

    Mid-Chapter Check Point Section 9.1—Section 9.3

    9.4 Linear Inequalities in Two Variables

    Chapter 9 Group Project

    Chapter 9 Summary

    Chapter 9 Review Exercises

    Chapter 9 Test

    Cumulative Review Exercises (Chapters 1—9)

    10. Radicals, Radical Functions, and Rational Exponents

    10.1 Radical Expressions and Functions

    10.2 Rational Exponents

    10.3 Multiplying and Simplifying Radical Expressions

    10.4 Adding, Subtracting, and Dividing Radical Expressions

    Mid-Chapter Check Point Section 10.1—Section 10.4

    10.5 Multiplying with More Than One Term and Rationalizing Denominators

    10.6 Radical Equations

    10.7 Complex Numbers

    Chapter 10 Group Project

    Chapter 10 Summary

    Chapter 10 Review Exercises

    Chapter 10 Test

    Cumulative Review Exercises (Chapters 1—10)

    11. Quadratic Equations and Functions

    11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas

    11.2 The Quadratic Formula

    11.3 Quadratic Functions and Their Graphs

    Mid-Chapter Check Point Section 11.1—Section 11.3

    11.4 Equations Quadratic in Form

    11.5 Polynomial and Rational Inequalities

    Chapter 11 Group Project

    Chapter 11 Summary

    Chapter 11 Review Exercises

    Chapter 11 Test

    Cumulative Review Exercises (Chapters 1—11)

    12. Exponential and Logarithmic Functions

    12.1 Exponential Functions

    12.2 Logarithmic Functions

    12.3 Properties of Logarithms

    Mid-Chapter Check Point Section 12.1—Section 12.3

    12.4 Exponential and Logarithmic Equations

    12.5 Exponential Growth and Decay; Modeling Data

    Chapter 12 Group Project

    Chapter 12 Summary

    Chapter 12 Review Exercises

    Chapter 12 Test

    Cumulative Review Exercises (Chapters 1—12)

    13. Conic Sections and Systems of Nonlinear Equations

    13.1 The Circle

    13.2 The Ellipse

    13.3 The Hyperbola

    Mid-Chapter Check Point Section 13.1—Section 13.3

    13.4 The Parabola; Identifying Conic Sections

    13.5 Systems of Nonlinear Equations in Two Variables

    Chapter 13 Group Project

    Chapter 13 Summary

    Chapter 13 Review Exercises

    Chapter 13 Test

    Cumulative Review Exercises (Chapters 1—13)

    14. Sequences, Series, and the Binomial Theorem

    14.1 Sequences and Summation Notation

    14.2 Arithmetic Sequences

    14.3 Geometric Sequences and Series

    Mid-Chapter Check Point Section 14.1—Section 14.3

    14.4 The Binomial Theorem

    Chapter 14 Group Project

    Chapter 14 Summary

    Chapter 14 Review Exercises

    Chapter 14 Test

    Cumulative Review Exercises (Chapters 1—14)

    Appendices

    A: Mean, Median, and Mode

    B: Matrix Solutions to Systems of Linear Equations

    C: Determinants and Cramer's Rule

    D: Where Did That Come From? Selected Proofs

    Answers to Selected Exercises

    Graphing Answer Section (AIE only)

    Applications Index

    Subject Index

    Photo Credits

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