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McGraw-Hill Education
College Algebra Essentials with ALEKS 18 Week Access Card / Edition 1

College Algebra Essentials with ALEKS 18 Week Access Card / Edition 1

by Julie Miller

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Product Details

ISBN-13: 9781259672309
Publisher: McGraw-Hill Education
Publication date: 03/16/2015
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)
Age Range: 18 Years

About the Author

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers.
My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students.

Table of Contents

College Algebra Essentials 1e
Chapter R: Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 Models, Algebraic Expressions, and Properties of Real Numbers
Section R.3 Integer Exponents and Scientific Notation
Section R.4 Rational Exponents and Radicals
Section R.5 Polynomials and Multiplication of Radicals

Problem Recognition Exercises: Simplifying Algebraic Expressions
Section R.6 Factoring
Section R.7 Rational Expressions and More Operations on Radicals
Chapter 1: Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications and Modeling with Linear Equations
Section 1.3 Complex Numbers
Section 1.4 Quadratic Equations

Problem Recognition Exercises: Simplifying Expressions versus Solving Equations
Section 1.5 Applications of Quadratic Equations
Section 1.6 More Equations and Applications
Section 1.7 Linear Inequalities and Compound Inequalities
Section 1.8 Absolute Value Equations and Inequalities

Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities
Chapter 2: Functions and Graphs
Section 2.1 The Rectangular Coordinate System and Graphing Utilities
Section 2.2 Circles
Section 2.3 Functions and Relations
Section 2.4 Linear Equations in Two Variables and Linear Functions
Section 2.5 Applications of Linear Equations and Modeling

Problem Recognition Exercises: Comparing Graphs of Equations
Section 2.6 Transformation of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2.8 The Algebra of Functions
Chapter 3: Polynomial and Rational Functions
Section 3.1 Quadratic Functions and Applications
Section 3.2 Introduction to Polynomial Functions
Section 3.3 Division of Polynomials and the Remainder and Factor Theorems
Section 3.4 Zeros of Polynomials
Section 3.5 Rational Functions

Problem Recognition Exercises: Polynomial and Rational Functions
Section 3.6 Polynomial and Rational Inequalities

Problem Recognition Exercises: Solving Equations and Inequalities
Section 3.7 Variation
Chapter 4: Exponential and Logarithmic Functions
Section 4.1 Inverse Functions
Section 4.2 Exponential Functions
Section 4.3 Logarithmic Functions

Problem Recognition Exercises: Analyzing Functions
Section 4.4 Properties of Logarithms
Section 4.5 Exponential and Logarithmic Equations
Section 4.6 Modeling with Exponential and Logarithmic Functions
Chapter 5: Systems of Equations and Inequalities
Section 5.1 Systems of Linear Equations in Two Variables and Applications
Section 5.2 Systems of Linear Equations in Three Variables and Applications
Section 5.3 Partial Fraction Decomposition
Section 5.4 Systems of Nonlinear Equations in Two Variables
Section 5.5 Inequalities and Systems of Inequalities in Two Variables

Problem Recognition Exercises: Equations and Inequalities in Two Variables
Section 5.6 Linear Programming

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