College Algebra / Edition 2

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Overview

Applications are the hallmark of this series, along with student-friendly pedagogy and engaging examples and exercises. The integration of Connect Hosted by ALEKS, along with new lecture and exercise videos, provides students with the support they need to understand the key concepts of college algebra.
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Product Details

  • ISBN-13: 9780077276492
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 1/8/2009
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 864
  • Sales rank: 616,047
  • Product dimensions: 8.70 (w) x 11.00 (h) x 1.30 (d)

Meet the Author

John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
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Table of Contents

Chapter R: A Review of Basic Concepts and Skills

R-1 The Language, Notation, and Numbers of Mathematics

R-2 Algebraic Expressions and the Properties of Real Numbers

R-3 Exponents, Scientific Notation, and a Review of Polynomials

R-4 Factoring Polynomials

R-5 Rational Expressions

R-6 Radicals and Rational Exponents

Chapter 1: Equations and Inequalities


1-1 Linear Equations, Formulas, and Problem Solving

1-2 Linear Inequalities in One Variable

1-3 Absolute Value Equations and Inequalities

1-4 Complex Numbers

1-5 Solving Quadratic Equations

1-6 Solving Other Types of Equation

Chapter 2: Relations, Functions and Graphs


2-1 Rectangular Coordinates; Graphing Circles and Relations

2-2 Graphs of Linear Equations

2-3 Linear Equations and Rates of Change

2-4 Functions, Notation, and Graphs of Functions

2-5 Analyzing the Graph of a Function

2-6 Toolbox Functions and Transformations

2-7 Piecewise-Defined Functions

2-8 The Algebra and Composition of Functions

Chapter 3: Polynomial and Rational Functions


3-1 Quadratic Functions and Applications

3-2 Synthetic Division; The Remainder and Factor Theorems

3-3 The Zeroes of Polynomial Functions

3-4 Graphing Polynomial Functions

3-5 Graphing Rational Functions

3-6 Additional Insights into Rational Functions

3-7 Polynomial and Rational Inequalities

3-8 Variation: Function Models in Action

Chapter 4: Exponential and Logarithmic Functions


4-1 One-to-One and Inverse Functions

4-2 Exponential Functions

4-3 Logarithms and Logarithmic Functions

4-4 Properties of Logarithms; Solving Exponential and Logarithmic Equations

4-5 Applications from Business, Finance, and Science

Chapter 5: Systems of Equations and Inequalities


5-1 Linear Systems in Two Variables with Applications

5-2 Linear Systems in Three Variables with Applications

5-3 Nonlinear Systems of Equations and Inequalities

5-4 Systems of Inequalities and Linear Programming

Chapter 6: Matrices and Matrix Applications


6-1 Solving Systems Using Matrices and Row Operations

6-2 The Algebra of Matrices

6-3 Solving Linear Systems Using Matrix Equations

6-4 Applications of Matrices and Determinants:

Chapter 7: Analytical Geometry and Conic Sections


7-1 Introduction to Analytic Geometry

7-2 The Circle and the Ellipse

7-3 The Hyperbola

7-4 The Analytic Parabola

Chapter 8: Additional Topics in Algebra


8-1 Sequences and Series

8-2 Arithmetic Sequences

8-3 Geometric Sequences

8-4 Mathematical Induction

8-5 Counting Techniques

8-6 Introduction to Probability

8-7 The Binomial Theorem

APPENDICES

A-1 More on Synthetic Division

A-2 More on Matrices

A-3 Deriving the Equation of a Conic

A-4 Proof Positive - A Selection of Proofs from College Algebra
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