College Algebra / Edition 8

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Overview

Known for a clear and concise exposition, numerous examples, and plentiful problem sets, Jerome E. Kaufmann and Karen L. Schwitters's COLLEGE ALGEBRA is an easy-to-use book that focuses on building technique and helping students hone their problem-solving skills. The eighth edition focuses on solving equations, inequalities, and problems; and on developing graphing techniques and using the concept of a function. Updated with new application problems and examples throughout, the eighth edition is accompanied by a robust collection of teaching and learning resources, including Enhanced WebAssign, an easy-to-use online homework management system for both instructors and students.

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Product Details

  • ISBN-13: 9781111990367
  • Publisher: Cengage Learning
  • Publication date: 1/14/2012
  • Series: College Algebra Series
  • Edition description: New Edition
  • Edition number: 8
  • Pages: 800
  • Product dimensions: 9.00 (w) x 8.30 (h) x 1.40 (d)

Meet the Author

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.

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Table of Contents

0. SOME BASIC CONCEPTS OF ALGEBRA: A REVIEW. Some Basic Ideas. Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Radicals. Relationship Between Exponents and Roots. Complex Numbers. Chapter 0 Summary. Chapter 0 Review Problem Set. Chapter 0 Test. 1. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Linear Equations and Problem Solving. More Equations and Applications. Quadratic Equations. Applications of Linear and Quadratic Equations. Miscellaneous Equations. Inequalities. Quadratic and Rational Inequalities. Absolute Value Equations and Inequalities. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test. 2. COORDINATE GEOMETRY AND GRAPHING TECHNIQUES. Coordinate Geometry. Graphing Techniques: Linear Equations and Inequalities. Determining the Equation of a Li ne. More on Graphing. Circles, Ellipses, and Hyperbolas. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test. Cumulative Review Problem Set (Chapters 0-2). 3. FUNCTIONS. Concept of a Function. Linear Functions and Applications. Quadratic Equations. Transformations of Some Basic Curves. Combining Functions. Direct and Inverse Variation. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test. Cumulative Review Problem Set (Chapters 0-3). 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Dividing Polynomials and Synthetic Division. Remainder and factor Theorems. Polynomial Equations. Graphing Polynomial Functions. Graphing Rational Functions. More on Graphing Rational Functions. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Cumulative Review Problem Set (Chapters 0-4). 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponents and Exponential Functions. Applications of Exponential Functions. Inverse Functions. Logarithms. Logarithmic Functions. Exponential Equations, Logarithmic Equations, and Problem Solving. Chapter 5 Summary. Chapter 5 Review Problem Set. Chapter 5 Test. Cumulative Review Problem Set (Chapters 0-5). 6. 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. Chapter 6 Summary. Chapter 6 Review Problem Set. Chapter 6 Test. Cumulative Review Problem Set (Chapters 0-6). 7. ALGEBRA OF MATRICES. Algebra of 2 x 2 Matrices. Multiplicative Inverses. m x n Matrices. Systems of Linear Inequalities: Linear Programming. Chapter 7 Summary. Chapter 7 Review Problem Set. Chapter 7 Test. Cumulative Review Problem Set (Chapters 0-7). 8. CONIC SECTIONS. Parabolas. Ellipses. Hyperbolas. Systems Involving Nonlinear Equations. Chapter 8 Summary. Chapter 8 Review Problem Set. Chapter 8 Test. Cumulative Review Problem Set (Chapters 0-8). 9. SEQUENCES AND MATHEMATICAL INDUCTION. Arithmetic Sequences. Geometric Sequences. Another Look at Problem Solving. Mathematical Induction. Chapter 9 Summary. Chapter 9 Review Problem Set. Chapter 9 Test.

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