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College Algebra

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ISBN-10: 0534998461

ISBN-13: 9780534998462

Edition: 6th 2005 (Revised)

Authors: Jerome E. Kaufmann, Karen L. Schwitters

List price: $266.95
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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

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
Review Problem Set
Test
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
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