College Algebra

by Sullivan, Michael

Edition:

8th

ISBN13:

9780132402866

ISBN10:

0132402866

Format:

Hardcover

Pub. Date:

1/1/2008

Publisher(s):

Prentice Hall

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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.

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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