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Description:

This text, written by best-selling developmental mathematics author Pat McKeague, features a more streamlined review of elementary algebra, allowing for earlier coverage of intermediate topics. An early introduction to graphing presents the foundation for a wide variety of graphing problems throughout the text. Early coverage of functions helps students feel comfortable with the many examples and graphs of functions that occur in later chapters. The first ten chapters of this book cove the topics usually found in a college-level algebra course. The last three chapters cover the essential topics from trigonometry. Optional technology sections and integrated throughout text as a way for… More students to better understand the material being discussed.Less

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Book details

List price: $348.95 Edition: 5th Copyright year: 2002 Publisher: Brooks/Cole Publication date: 12/20/2001 Binding: Hardcover Pages: 874 Size: 8.00" wide x 9.00" long x 1.50" tall Weight: 4.092 Language: English

AuthorTable of Contents

Charles P. "Pat" McKeague earned his B.A. in Mathematics from California State University, Northridge, and his M.S. in Mathematics from Brigham Young University. A well-known author and respected educator, he is a full-time writer and a part-time instructor at Cuesta College. He has published twelve textbooks in mathematics covering a range of topics from basic mathematics to trigonometry. An active member of the mathematics community, Professor McKeague is a popular speaker at regional conferences, including the California Mathematics Council for Community Colleges, the American Mathematical Association of Two-Year Colleges, the National Council of Teachers of Mathematics, the Texas… More Mathematics Association of Two-Year Colleges, the New Mexico Mathematics Association of Two-Year Colleges, and the National Association for Developmental Education. He is a member of the American Mathematics Association for Two-Year Colleges, the Mathematics Association of America, the National Council of Teachers of Mathematics, and the California Mathematics Council for Community Colleges.Less

Preface to the Instructor

Preface to the Student

Basic Properties and Definitions

Fundamental Definitions and Notation

Properties of Real Numbers

Arithmetic With Real Numbers

Exponents and Scientific Notation

Polynomials, Sums, Differences, and Products

Factoring

Special Factoring

Recognizing Patterns

Summary

Review

Test

Projects

Equations and Inequalities in One Variable

Linear and Quadratic Equations in One Variable

Formulas

Applications

Linear Inequalities in One Variable

Equations With Absolute Value

Inequalities Involving Absolute Value

Summary

Review

Test

Cumulative Review

Projects

Equations and Inequalities in Two Variables

Paired Data and the Rectangular Coordinate System

The Slope of a Line

The Equation of a Line

Linear Inequalities in Two Variables

Introduction to Functions

Function Notation

Algebra With Functions

Variation

Summary

Review

Test

Cumulative Review

Projects

Systems of Linear Equations and Inequalities

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Introduction to Determinants

Cramer's Rule

Applications

Systems of Linear Inequalities

Summary

Review

Test

Cumulative Review

Projects

Rational Expressions and Rational Functions

Basic Properties and Reducing to Lower Terms

Division of Polynomials

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Equations Involving Rational Expressions

Applications

Summary

Review

Test

Cumulative Review

Projects

Rational Exponents and Roots

Rational Exponents

More Expressions Involving Rational Exponents

Simplified Form for Radicals

Addition and Subtraction of Radical Expressions

Multiplication and Division of Radical Expressions

Equations With Radicals

Complex Numbers

Summary

Review

Test

Cumulative Review

Projects

Quadratic Functions

Completing the Square

The Quadratic Formula

Additional Items Involving Solutions to Equations

Equations Quadratic in Form

Graphing Parabolas

Quadratic Inequalities

Summary

Review

Test

Cumulative Review

Projects

Exponential and Logarithmic Functions

Exponential Functions

The Inverse of a Function

Logarithms Are Exponents

Properties of Logarithms

Common Logarithms and Natural Logarithms

Exponential Equations and Change of Base

Summary

Review

Test

Cumulative Review

Projects

Sequences and Series

Sequences

Series

Arithmetic Sequences

Geometric Sequences

The Binomial Expansion

Summary

Review

Test

Cumulative Review

Projects

Conic Sections

The Circle

Ellipses and Hyperbolas

Second-Degree Inequalities and Nonlinear Systems

Summary

Review

Test

Cumulative Review

Projects

Introduction to Trigonometry

Degrees, Radians, and Special Triangles

Trigonometric Functions

Trigonometric Functions and Calculators

Graphing I: Amplitude and Period

Graphing II: Phase Shift

Finding an Equation from Its Graph

Inverse Trigonometric Functions

Summary

Review

Test

Cumulative Review

Projects

Trigonometric Identities and Equations

Introduction to Identities

Proving Identities

Sum and Difference Formulas

Double-Angle and Half-Angle Formulas

Solving Trigonometric Equations

Summary

Review

Test

Cumulative Review

Projects

Triangles

Definition II: Right Triangle Trigonometry

The Law of Sines

The Ambiguous Case

The Law of Cosines

Summary

Review

Test

Cumulative Review

Projects

Synthetic Division

Matrix Solutions to Linear Systems

Conditional Statements

Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews

Index

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