College Algebra / Edition 2

College Algebra / Edition 2

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McGraw-Hill Education


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College Algebra / Edition 2

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: 9780077836344
Publisher: McGraw-Hill Education
Publication date: 01/08/2016
Edition description: New Edition
Pages: 864
Sales rank: 197,777
Product dimensions: 8.80(w) x 11.00(h) x 1.20(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 2e
Chapter R: Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 Integer Exponents and Scientific Notation
Section R.3 Rational Exponents and Radicals
Section R.4 Polynomials and Multiplication of Radicals

Problem Recognition Exercises: Simplifying Algebraic Expressions

Section R.5 Factoring
Section R.6 Rational Expressions and More Operations on Radicals

Algebra for Calculus

Chapter 1: Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications with Linear and Rational 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, Compound, and Absolute Value Inequalities

Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities

Equations and Inequalities for Calculus

Chapter 2: Functions and Relations
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 Transformations of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2.8 Algebra of Functions and Function Composition
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 TheoremsSection 3.4 Zeros of PolynomialsSection 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 FunctionsSection 4.1 Inverse FunctionsSection 4.2 Exponential FunctionsSection 4.3 Logarithmic Functions

Problem Recognition Exercises: Analyzing Functions

Section 4.4 Properties of LogarithmsSection 4.5 Exponential and Logarithmic Equations and Applications
Section 4.6 Modeling with Exponential and Logarithmic FunctionsChapter 5: Systems of Equations and InequalitiesSection 5.1 Systems of Linear Equations in Two Variables and ApplicationsSection 5.2 Systems of Linear Equations in Three Variables and ApplicationsSection 5.3 Partial Fraction DecompositionSection 5.4 Systems of Nonlinear Equations in Two VariablesSection 5.5 Inequalities and Systems of Inequalities in Two Variables

Problem Recognition Exercises: Equations and Inequalities in Two Variables

Section 5.6 Linear ProgrammingChapter 6: Matrices and Determinants and ApplicationsSection 6.1 Solving Systems of Linear Equations Using MatricesSection 6.2 Inconsistent Systems and Dependent EquationsSection 6.3 Operations on MatricesSection 6.4 Inverse Matrices and Matrix EquationsSection 6.5 Determinants and Cramer’s Rule

Problem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations

Chapter 7: Analytic GeometrySection 7.1 The EllipseSection 7.2 The HyperbolaSection 7.3 The Parabola

Problem Recognition Exercises: Comparing Equations of Conic Sections and the General Equation

Chapter 8: Sequences, Series, Induction, and ProbabilitySection 8.1 Sequences and SeriesSection 8.2 Arithmetic Sequences and SeriesSection 8.3 Geometric Sequences and Series

Problem Recognition Exercises: Comparing Arithmetic and Geometric Sequences and Series

Section 8.4 Mathematical InductionSection 8.5 The Binomial TheoremSection 8.6 Principles of CountingSection 8.7 Introduction to ProbabilityAppendix A: Additional Topics Appendix (Online only)

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