9780072934823

Algebra For College Students

by
  • ISBN13:

    9780072934823

  • ISBN10:

    0072934824

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 12/1/2004
  • Publisher: McGraw-Hill College
  • View Upgraded Edition

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Summary

The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. Every section ending in the text begins with six simple writing exercises. These exercises are designed to get students to review the definitions and rules of the section before doing more traditional exercises.

Table of Contents

The Real Numbers
Sets
The Real Numbers
Operations on the Set of Real Numbers
Evaluating Expressions
Properties of the Real Numbers
Using the Properties
Linear Equations and Inequalities in One Variable
Linear Equations in One Variable
Formulas
Applications
Inequalities
Compound Inequalities
Absolute Value Equations and Inequalities
Linear Equations and Inequalities in Two Variables
Graphing Lines in the Coordinate Plane
Slope of a Line
Three Forms for the Equation of a Line
Linear Inequalities and Their Graphs
Functions and Relations
Systems of Linear Equations
Solving Systems by Graphing and Substitution
The Addition Method
Systems of Linear Equations in Three Variables
Solving Linear Systems Using Matrices
Determinants and Cramer's Rule
Linear Programming
Exponents and Polynomials
Integral Exponents and Scientific Notation
The Power Rules
Polynomials and Polynomial Functions
Multiplying Binomials
Factoring Polynomials
Factoring ax^2 + bx + c
Factoring Strategy
Solving Equations by Factoring
Rational Expressions and Functions
Properties of Rational Expressions and Functions
Multiplication and Division
Addition and Subtraction
Complex Fractions
Division of Polynomials
Solving Equations Involving Rational Expressions
Applications
Radicals and Rational Exponents
Radicals
Rational Exponents
Operations with Radicals
Quotients, Powers, and Rationalizing Denominators
Solving Equations with Radicals and Exponents
Complex Numbers
Quadratic Equations, Functions, and Inequalities
Factoring and Completing the Square
The Quadratic Formula
Quadratic Functions and Their Graphs
More on Quadratic Equations
Quadratic and Rational Inequalities
Additional Function Topics
Graphs of Functions and Relations
Transformations of Graphs
Combining Functions
Inverse Functions
Variation Chapter
Polynomial and Rational Functions
The Factor Theorem
Zeros of a Polynomial Function
The Theory of Equations
Graphs of Polynomial Functions
Graphs of Rational Functions
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms
Solving Equations and Applications
Nonlinear Systems and the Conic Sections
Nonlinear Systems of Equations
The Parabola
The Circle
The Ellipse and Hyperbola
Second-Degree Inequalities
Sequences and Series
Sequences
Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Binomial Expansions
Counting and Probability
Counting and Permutations
Combinations
Probability
Geometry Review Exercises
Sets
Final Exam Review
Table of Contents provided by Publisher. All Rights Reserved.

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