9780534400323

Algebra for College Students (with CD-ROM and InfoTrac)

by ;
  • ISBN13:

    9780534400323

  • ISBN10:

    0534400329

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 7/21/2003
  • Publisher: Brooks Cole
  • View Upgraded Edition

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Summary

Jerome E. Kaufmann and Karen Schwitters built this book's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This no-frills text consistently reinforces the following common thread: Learn the skill, use the skill to help solve equations; and then apply what they have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses.

Table of Contents

Chapter 1: BASIC CONCEPTS AND PROPERTIES
Sets, Real Numbers, and Numerical Expressions
Operations with Real Numbers
Properties of Real Numbers and the Use of Exponents
Algebraic Expressions
Summary
Review Problem Set
Test
Chapter 2: EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING
Solving First-Degree Equations
Equations Involving Fractional Forms
Equations Involving Decimals and Problem Solving
Formulas
Inequalities
More on Inequalities and Problem Solving
Equations and Inequalities Involving Absolute Value
Summary
Review Problem Set
Test
Chapter 3: POLYNOMIALS
Polynomials: Sums and Differences
Products and Quotients of Monomials
Multiplying Polynomials
Factoring: Use of the Distributive Property
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes
Factoring Trinomials
Equations and Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-3)
Chapter 4: RATIONAL EXPRESSIONS
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
More on Rational Expressions and Complex Fractions
Dividing Polynomials
Fractional Equations
More Fractional Equations and Applications
Summary
Review Problem Set
Test
Chapter 5:EXPONENTS AND RADICALS
Using Integers as Exponents
Roots and Radicals
Combining Radicals and Simplifying Radicals That Contain Variables
Products and Quotients Involving Radicals
Equations Involving Radicals
Merging Exponents and Roots
Scientific Notation
Summary
Review Problems Set
Test
Chapter 6: QUADRATIC EQUATIONS AND INEQUALITIES
Complex Numbers
Quadratic Equations
Completing the Square
Quadratic Formula
More Quadratic Equations and Applications
Quadratic and Other Nonlinear Inequalities
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapters 1-6)
Chapter 7: LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES
Rectangular Coordinate System
Linear Equations in Two Variables
Linear Inequalities in Two Variables
Distance and Slope
Determining the Equation of a Line
Summary
Review Problem Set
Test
Chapter 8: FUNCTIONS
Concept of a Function
Linear Functions and Applications
Quadratic Functions
More Quadratic Functions and Applications
Transformations of Some Basic Curves
Combining Functions
Direct and Inverse Variation
Summary
Review Problem Set
Test
Chapter 9: POLYNOMIAL AND RATIONAL FUNCTIONS
Synthetic Division
Remainder and Factor Theorems
Polynomial Equations
Graphing Polynomial Functions
Graphing Rational Functions
More on Graphing Rational Functions
Summary
Review Problem Set
Test
Chapter 10: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponents and Exponential Functions
Applications of Exponential Functions
Inverse Functions
Logarithms
Logarithmic Functions
Exponential Equations, Logarithmic Equations, and Problem Solving
Summary
Review Problem Set
Test
Cumulative Review Problem Set (Chapter 1-10)
Chapter 11: SYSTEMS OF EQUATIONS
Systems of Two Linear Equations in Two Variables
Systems of Three Linear Equations in Three Variables
Matrix Approach to Solving Linear Systems
Determinants
Cramer's Rule
Summary
Review Problem Set
Test
CHAPTER 12: ALGEBRA of Matrices
Algebra of 2_2 Matrices
Multiplicative Inverses
m x n Matrices
Systems of Linear Inequalities: Linear Programming
Summary
Review Problem Set
Test
Chapter 13: CONIC SECTIONS
Circles
Parabolas
Ellipses
Hyperbolas
System Involving Nonlinear Equations
Summary
Review Problem Set
Test
Chapter 14: SEQUENCES AND MATHEMATICAL INDUCTION
Arithmetic Sequences
Geometric Sequences
Another Look at Problem Solving
Mathematical Induction
Summary
Review Problem Set
Test
Chapter 15: COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM
Fundamental Principle of Counting
Permutations and Combinations
Probability
Some Properties of Probability: Expected Values
Conditional Probability: Dependent and Independent Events
Binomial Theorem
Summary
Review Problem Set
Test
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, and Cumulative Review Problems
Index

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