College Algebra

by Sullivan, Michael

• ISBN13: 9780132402866
• ISBN10: 0132402866
• Edition: 8th
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Prentice Hall

Summary

The Eighth Edition of this highly dependable book retains its best featuresaccuracy, precision, depth, and abundant exercise setswhile substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers.Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more.For individuals with an interest in learning algebra as it applies to their everyday lives.

Table of Contents

Chapter R Review

Real Numbers

Algebra Essentials

Geometry Essentials

Polynomials

Factoring Polynomials

Synthetic Division

Rational Expressions

nth Roots

Rational Exponents

Equations and Inequalities

Linear Equations

Quadratic Equations

Complex Numbers

Quadratic Equations in the Complex Number System

Radical Equations

Equations Quadratic in Form

Factorable Equations

Solving Inequalities

Equations and Inequalities Involving Absolute Value

Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications

Graphs

The Distance and Midpoint Formulas

Graphs of Equations in Two Variables

Intercepts

Symmetry

Lines

Circles

Variation

Functions and Their Graphs

Functions

The Graph of a Function

Properties of Functions

Library of Functions

Piecewise-defined Functions

Graphing Techniques: Transformations

Mathematical Models: Building Functions

Linear and Quadratic Functions

Linear Functions and Their Properties

Building Linear Functions from Data

Quadratic Functions and Their Properties

Quadratic Models

Building Quadratic Functions from Data

Inequalities Involving QuadraticFunctions

Polynomial and Rational Functions

Polynomial Functions and Models

Properties of Rational Functions

The Graph of a Rational Function

Polynomial and Rational Inequalities

The Real Zeros of a Polynomial Function

Complex Zeros: Fundamental Theorem of Algebra

Exponential and Logarithmic Functions

Composite Functions

One-to-One Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Logarithmic and Exponential Equations

Compound Interest

Exponential Growth and Decay Models

Newtons Law

Logistic Growth and Decay Models

Building Exponential, Logarithmic, and Logistic Functions from Data

Analytic Geometry

Conics

The Parabola

The Ellipse

The Hyperbola

Systems of Equations and Inequalities

Systems of Linear Equations: Substitution and Elimination

Systems of Linear Equations: Matrices

Systems of Linear Equations: Determinants

Matrix Algebra

Partial Fraction Decomposition

Systems of Nonlinear Equations

Systems of Inequalities

Linear Programming

Sequences

Induction the Binomial Theorem

Sequences

Arithmetic Sequences

Geometric Sequences

Geometric Series

Mathematical Induction

The Binomial Theorem

Counting and Probability

Sets and Counting

Permutations and Combinations

Probability Appendix Graphing Utilities

The Viewing Rectangle

Graphing Equations in Two Variables

Locating Intercepts and Checking for Symmetry

Solving Equations Using a Graphing Utility

Square Screens

Graphing Inequalities in Two Variables

Solving Systems of Linear Equations

Graphing a Polar Equation 9 Graphing Parametric Equations

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