Algebra for College Students

by Kaufmann, Jerome E.; Schwitters, Karen L.

• ISBN13: 9780495109952
• ISBN10: 0495109959
• Edition: 8th
• Format: Hardcover
• Copyright: 2006-01-23
• Publisher: Brooks Cole

Summary

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; use the skill to help solve equations; and then apply what you 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 in an easy-to-read format. The new Eighth Edition of ALGEBRA FOR COLLEGE STUDENTS includes new and updated problems, revised content based on reviewer feedback and a new function in iLrn. This enhanced iLrn homework functionality was designed specifically for Kaufmann/Schwitters' users. Textbook-specific practice problems have been added to iLrn to provide additional, algorithmically-generated practice problems, along with useful support and assistance to solve the problems for students.

Table of Contents

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

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

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)

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

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

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)

Linear Equations and Inequalities In Two Variables

Rectangular Coordinate System and Linear Equations

Graphing Nonlinear Equations Linear Inequalities in Two Variables

Distance and Slope

Determining the Equation of a Line

Summary

Review Problem Set

Test

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

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

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)

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

Partial Fractions

Summary

Review Problem Set

Test

Algebra Of Matrices

Algebra of 2 X 2 Matrices

Multiplicative Inverses

m x n Matrices

Systems of Linear Inequalities: Linear Programming

Summary

Review Problem Set

Test

Conic Sections

Circles

Parabolas

Ellipses

Hyperbolas

System Involving Nonlinear Equations

Summary

Review Problem Set

Test

Sequences And Mathematical Induction

Arithmetic Sequences

Geometric Sequences

Another Look at Problem Solving

Mathematical Induction

Summary

Review Problem Set

Test

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

Common Logarithms

Table of Contents provided by Publisher. All Rights Reserved.