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Description:

Succeed in math with CONTEMPORARY COLLEGE ALGEBRA AND TRIGONOMETRY: A GRAPHING APPROACH with accompanying technology! With a student-friendly writing style, thorough integration of the graphing calculator, and the use of real data in examples and exercises, this mathematics text provides you with the tools you need to get a good grade. Studying is made easy with tools such as iLrn and vMentor, that provide you with live online tutoring, Interactive Video Skillbuilder CD-ROM with MathCue, and the Book Companion Website featuring online graphing calculator resources.

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Book details

List price: $311.95 Edition: 2nd Copyright year: 2005 Publisher: Brooks/Cole Publication date: 10/7/2004 Binding: Hardcover Pages: 992 Size: 8.00" wide x 10.25" long x 1.50" tall Weight: 4.532

AuthorTable of Contents

Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. In addition to ABSTRACT ALGEBRA: AN INTRODUCTION, these include: ALGEBRA (Springer, Graduate Texts in Mathematics, #73. 1974); MATHEMATICS WITH APPLICATIONS, Tenth Edition (Pearson, 2011; with M. Lial and J. Holcomb); and CONTEMPORARY PRECALCULUS, Fifth Edition (Cengage, 2009; with D. Shaw).

Algebra Review

The Real Number System

Special Topics: Decimal Representation of Real Numbers

Integral Exponents

Roots, Radicals, and Rational Exponents

Polynomials

Factoring

Rational Expressions

Graphs, Lines, and Technology

The Coordinate Plane

Graphs and Graphing Technology

Lines

Linear Models

Equations and Inequalities

First-Degree Equations and Applications

Special Topics: Variation

Quadratic Equations and Applications

Solving Equations Graphically and Numerically

Polynomial, Radical, and Absolute Value Equations

Linear Inequalities

Polynomial and Rational Inequalities

Functions and Graphs

Functions

Functional Notation

Graphs of Functions

Special Topics: Parametric Graphing

Graphs and Transformations

Special Topics: Symmetry

Operations on Functions

Rates of Change

Special Topics: Instantaneous Rates of Change

Polynomial and Rational Functions

Quadratic Functions and Models

Polynomial Functions and Roots

Special Topics: Synthetic Division

Graphs of Polynomial Functions

Special Topics: Optimization Applications

Polynomial Models

Rational Functions

Special Topics: Other Rational Functions

Complex Numbers

The Fundamental Theorem of Algebra

Exponential and Logarithmic Functions

Exponential Functions

Applications of Exponential Functions

Common and Natural Logarithmic Functions

Properties of Logarithms

Special Topics: Logarithms to Other Bases

Solving Exponential and Logarithmic Equations Algebraically

Exponential, Logarithmic, and Other Models

Inverse Functions

Systems of Equations

Systems of Linear Equations in Two Variables

Special Topics: Systems of Nonlinear Equations

Large Systems of Linear Equations

Matrix Solution Methods

Matrix Methods for Square Systems

Special Topics: Matrix Algebra

Systems of Linear Inequalities

Introduction to Linear Programming

Discrete Algebra

Sequences and Sums

Arithmetic Sequences

Geometric Sequences

Special Topics: Infinite Series

The Binomial Theorem

Permutations and Combinations

Special Topics: Distinguishable Permutations

Introduction to Probability

Mathematical Induction

Analytic Geometry

Circles and Ellipses

Hyperbolas

Parabolas

Special Topics: Rotations and Second-Degree Equations

Triangle Trigonometry

Trigonometric Functions of Acute Angles

Trigonometric Functions of Angles

Applications of Right Triangle Trigonometry

The Law of Cosines

The Law of Sines

Special Topics: The Area of a Triangle

Trigonometric Functions

Angles and Radian Measure

Special Topics: Arc Length and Angular Speed

The Sine, Cosine, and Tangent Functions

Algebra and Identities

Basic Graphs

Periodic Graphs and Simple Harmonic Motion

Special Topics: Other Trigonometric Graphs

Other Trigonometric Functions

Trigonometric Identities and Equations

Basic Identities and Proofs

Addition and Subtraction Identities

Other Identities

Inverse Trigonometric Functions

Trigonometric Equations

Special Topics: Other Solution Methods for Trigonometric Equations

Applications of Trigonometry

Plane Curves and Parametric Equations

Polar Coordinates

The Complex Plane and Polar Form for Complex Numbers

DeMoivre's Theorem and nth Roots of Complex Numbers

Vectors in the Plane

Discovery Project 12

Geometry Review Appendix

Program Appendix

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