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Focusing on and reinforcing problem-solving throughout, Kaufmann and Schwitters help students learn to analyze a word problem by approaching it logically and extracting all its essential mathematical components so that the process of solving a problem can be approached with ease. The authors' proven approach of "learn a skill" then "use a skill to solve equations and inequalities" and finally, "use equations and inequalities to solve word problems" helps students apply their newly learned skills immediately for better comprehension and retention. This is the same approach used by the authors in their highly successful developmental mathematics texts.

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Book details

List price: $266.95 Edition: 6th Copyright year: 2005 Publisher: Brooks/Cole Publication date: 11/22/2004 Binding: Hardcover Pages: 816 Size: 8.25" wide x 9.50" long x 1.25" tall Weight: 3.080 Language: English

AuthorTable of Contents

Jerome E. Kaufmann received his Ed.D. in Mathematics Education from the University of Virginia. Now a retired Professor of Mathematics from Western Illinois University, he has more than 30 years of teaching experience at the high school, two-year, and four-year college levels. He is the author of 45 college mathematics textbooks.

Karen L. Schwitters graduated from the University of Wisconsin with a B.S. in Mathematics. She earned an M.S. Ed. in Professional Secondary Education from Northern Illinois University. Schwitters is currently teaching at Seminole Community College in Sanford, Florida, where she is very active in multimedia instruction and is involved in planning distance learning courses with multimedia materials. She is an advocate for Enhanced WebAssign and uses it in her classroom. In 1998, she received the Innovative Excellence in Teaching, Learning, and Technology Award.

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

Linear Equations in Two Variables

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 The orems

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

Summary

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Test

Algebra of matrices

Algebra of 2_2 Matrices

Multiplicative Inverses

m x n Matrices

Systems of Linear Inequalities: Linear Programming

Summary

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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 The orem

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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