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These experienced authors have been praised for their in-depth explanations and their commitment to avoiding a cookbook approach. Their text addresses three critical issues in teaching college algebra: poor student preparation, the need for thoughtful integration of the graphing calculator, and poor student study skills. Their texts have a strong reputation built on mathematically sound presentation, excellent applications, and on challenging students to develop algebraic, graphical, and verbal mathematical skills. Goodman and Hirsch help students go beyond the mechanics of mathematics to developing a coherent strategy to solving problems.

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List price: $296.95 Copyright year: 2004 Publisher: Brooks/Cole Publication date: 11/19/2003 Binding: Hardcover Pages: 864 Size: 8.25" wide x 10.50" long x 1.25" tall Weight: 3.388 Language: English

AuthorTable of Contents

Dr. Arthur Goodman (Ph.D., Yeshiva University) currently teaches in the mathematics department at Queens College of the City University of New York. Dr. Goodman takes great pride in the mathematical accuracy and in depth explanation in all of his textbooks.

Lewis Hirsch (Ph.D., Pennsylvania State University) currently teaches in the mathematics department at Rutgers University. Both are very successful developmental mathematics authors.

Algebra: The Fundamentals

The Real Numbers

Operations with Real Numbers

Polynomials

Rational Expressions

Exponents and Radicals

The Complex Numbers

Chapter Summary

Review Exercises

Practice Test

Equations and Inequalities

First-Degree Equations and Inequalities in One Variable

Absolute Value Equations and Inequalities

Quadratic Equations

Radical Equations: Equations Reducible to Quadratic Form

Quadratic and Rational Inequalities

Substitution

Chapter Summary

Review Exercises

Practice Test

Functions and graphs:

The Cartesian Coordinate System: Graphing Straight Lines Functions and Circles

Slope

Equations of a Line

Relations and Functions

Function Notation

Relating Equations to Their Graphs

Introduction to Graph Sketching: Symmetry

Chapter Summary

Review Exercises

Practice Test

Functions And Graphs:

Basic Graphing Principles

More Graphing Principles: Types of Functions

Extracting Functions from Real-Life Situations

Quadratic Functions

Operations on Functions

Inverse Functions

Chapter Summary

Review Exercises

Practice Test

Polynomial, Rational And Radical Functions

Polynomial Functions

More Polynomial Functions and Mathematical Models

Polynomial Division, Roots of Polynomial Equations; The Remainder and Factor Theorems

Roots of Polynomial Equations (continued); The Rational Root Theorem and Descartes's Rule of Signs

Rational Functions

Radical Functions

Variation

Chapter Summary

Review Exercises

Practice Test

Exponential And Logarithmic Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms: Logarithmic Equations

Common and Natural Logarithms: Exponential Equations and Change of Base

Applications

Chapter Summary

Review Exercises

Practice Test

Systems Of Linear Equations And Inequalities

Elimination and Substitution: 2 X 2 Linear Systems

Elimination and Gaussian Elimination: 3 X 3 Linear Systems

Solving Linear Systems Using Augmented Matrices

The Algebra of Matrices

Solving Linear

Systems Using Matrix Inverses

Determinants and Cramer's Rule: 2 X 2 and 3 X 3 Systems

Properties of Determinants

Systems of Linear Inequalities

An Introduction to Linear Programming: Geometric Solutions

Chapter Summary

Review Exercises

Practice Test

Conic Sections And Nonlinear Systems

Conic Sections: Circles

The Parabola

The Ellipse

The Hyperbola

Identifying Conic Sections: Degenerate Forms

Nonlinear Systems of Equations and Inequalities

Chapter Summary

Review Exercises

Practice Test

Sequence, Series And Related Topics

Sequences

Series and Sigma Notation

Arithmetic Sequences and Series

Geometric Sequences and Series

Mathematical Induction

Permutations and Combinations

Probability

The Binomial Theorem

Chapter Summary

Review Exercises

Practice Test

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