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Algebra for College Students

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ISBN-10: 0538733543

ISBN-13: 9780538733540

Edition: 9th 2011

Authors: Jerome E. Kaufmann, Karen L. Schwitters

List price: $199.95
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Book details

List price: $199.95
Edition: 9th
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 1/1/2010
Binding: Hardcover
Pages: 832
Size: 8.78" wide x 11.18" long x 1.46" tall
Weight: 4.092
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
Chapter 1 Summary
Chapter 1 Review Problem Set
Chapter 1 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
Chapter 2 Summary
Chapter 2 Review Problem Set
Chapter 2 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
Chapter 3 Summary
Chapter 3 Review Problem Set
Chapter 3 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
Chapter 4 Summary
Chapter 4 Review Problem Set
Chapter 4 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
Chapter 5 Summary
Chapter 5 Review Problem Set
Chapter 5 Test
Quadratic Equations and Inequalities
Complex Numbers
Quadratic Equations
Completing the Square
Quadratic Formula
More Quadratic Equations and Applications
Quadratic and Other Nonlinear Inequalities
Chapter 6 Summary
Chapter 6 Review Problem Set
Chapter 6 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
Chapter 7 Summary
Chapter 7 Review Problem Set
Chapter 7 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
Chapter 8 Summary
Chapter 8 Review Problem Set
Chapter 8 Test
Polynomial and Rational Functions
Synthetic Division
Remainder and Factor Theorems
Polynomial Equations
Graphing Polynomial Functions
Graphing Rational Functions
More on Graphing Rational Functions
Chapter 9 Summary
Chapter 9 Review Problem Set
Chapter 9 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
Chapter 10 Summary
Chapter 10 Review Problem Set
Chapter 10 Test
Cumulative Review Problem Set (Chapters 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 (optional)
Chapter 11 Summary
Chapter 11 Review Problem Set
Chapter 11 Test
Algebra of Matrices
Algebra of Matrices
Multiplicative Inverses
Matrices
Systems of Linear Inequalities: Linear Programming
Chapter 12 Summary
Chapter 12 Review Problem Set
Chapter 12 Test
Conic Sections
Circles
Parabolas
Ellipses
Hyperbolas
Systems Involving Nonlinear Equations
Chapter 13 Summary
Chapter 13 Review Problem Set
Chapter 13 Test
Sequences and Mathematical Induction
Arithmetic Sequences
Geometric Sequences
Another Look at Problem Solving
Mathematical Induction
Chapter 14 Summary
Chapter 14 Review Problem Set
Chapter 14 Test
Prime Numbers and Operations with Fractions
Binomial Theorem
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix A Problems
Answers to Selected Even-Numbered Problems
Index I-1