College Algebra Essentials w/ Connect Plus Hosted by ALEKS Access Card 52 Weeks / Edition 1

by Julie Miller

Overview

When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O’Neill/Hyde (or M/O/H) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area.

The main objectives of the college algebra series are three-fold:

•Provide students with a clear and logical presentation of the basic concepts that will prepare them for continued study in mathematics.

•Help students develop logical thinking and problem-solving skills that will benefit them in all aspects of life.

•Motivate students by demonstrating the significance of mathematics in their lives through practical applications.

Product Details

ISBN-13:	9780077735524
Publisher:	McGraw-Hill Higher Education
Publication date:	02/06/2013
Edition description:	New Edition
Product dimensions:	8.70(w) x 11.10(h) x 1.00(d)

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