College Algebra

College Algebra

2nd Edition - December 27, 1984

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  • Authors: Bernard Kolman, Arnold Shapiro
  • eBook ISBN: 9781483277776

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College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra. The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appropriate page references; key ideas for review to stress the concepts; review exercises to provide additional practice; and progress tests to provide self-evaluation and reinforcement. The answers to all Review Exercises and Progress Tests appear in the back of the book. College students will find the book very useful and invaluable.

Table of Contents

  • Preface


    To the Student

    Chapter 1 The Foundations of Algebra

    1.1 The Real Number System

    1.2 The Real Number Line

    1.3 Algebraic Expressions; Polynomials

    1.4 Factoring

    1.5 Rational Expressions

    1.6 Integer Exponents

    1.7 Rational Exponents and Radicals

    Chapter 2 Equations And Inequalities

    2.1 Linear Equations in One Unknown

    2.2 Applications

    2.3 Linear Inequalities

    2.4 Absolute Value in Equations and Inequalities

    2.5 The Quadratic Equation

    2.6 Applications of Quadratic Equations

    2.7 Second-Degree Inequalities

    Chapter 3 Functions

    3.1 The Rectangular Coordinate System

    3.2 Functions and Function Notation

    3.3 Graphs of Functions

    3.4 Linear Functions

    3.5 Direct and Inverse Variation (Optional)

    3.6 Combining Functions; Inverse Functions

    Chapter 4 Exponential and Logarithmic Functions

    4.1 Exponential Functions

    4.2 Logarithmic Functions

    4.3 Fundamental Properties of Logarithms

    4.4 Computing with Logarithms (Optional)

    4.5 Exponential and Logarithmic Equations

    Chapter 5 Analytic Geometry: The Conic Sections

    5.1 Analytic Geometry

    5.2 The Circle

    5.3 The Parabola

    5.4 The Ellipse and Hyperbola

    5.5 Identifying the Conic Sections

    Chapter 6 Systems of Equations and Inequalities

    6.1 Systems of Equations

    6.2 Solving by Elimination

    6.3 Applications

    6.4 Systems of Linear Equations in Three Unknowns

    6.5 Systems of Linear Inequalities

    6.6 Linear Programming (Optional)

    Chapter 7 Matrices and Determinants

    7.1 Matrices and Linear Systems

    7.2 Matrix Operations and Applications (Optional)

    7.3 Inverses of Matrices (Optional)

    7.4 Determinants and Cramer's Rule

    Chapter 8 Theory of Polynomials

    8.1 Polynomial Division and Synthetic Division

    8.2 The Remainder and Factor Theorems

    8.3 Factors and Zeros

    8.4 Real and Rational Zeros

    8.5 Rational Functions and Their Graphs

    Chapter 9 Topics in Algebra

    9.1 Sequences and Sigma Notation

    9.2 Arithmetic Sequences

    9.3 Geometric Sequences

    9.4 Mathematical Induction

    9.5 The Binomial Theorem

    9.6 Counting: Permutations and Combinations

    9.7 Probability

    Tables Appendix

    Answers to Odd-Numbered Exercises, and to Review Exercises and Progress Tests

    Solutions to Selected Review Exercises


Product details

  • No. of pages: 488
  • Language: English
  • Copyright: © Academic Press 1985
  • Published: December 27, 1984
  • Imprint: Academic Press
  • eBook ISBN: 9781483277776

About the Authors

Bernard Kolman

Affiliations and Expertise

Drexel University

Arnold Shapiro

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