# College Algebra

1^{st}Edition

ISBN10: 0078035635

ISBN13: 9780078035630

Copyright: 2014

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

# College Algebra 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

### Chapter 6: Matrices and Determinants and Applications

#### Section 6.1 Solving Systems of Linear Equations Using Matrices

#### Section 6.2 Inconsistent Systems and Dependent Equations

#### Section 6.3 Operations on Matrices

#### Section 6.4 Inverse Matrices and Matrix Equations

#### Section 6.5 Determinants and Cramer’s Rule

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

### Chapter 7: Analytic Geometry

#### Section 7.1 The Ellipse

#### Section 7.2 The Hyperbola

#### Section 7.3 The Parabola

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

### Chapter 8: Sequences, Series, Induction, and Probability

#### Section 8.1 Sequences and Series

#### Section 8.2 Arithmetic Sequences and Series

#### Section 8.3 Geometric Sequences and Series

Problem Recognition Exercises: Comparing Arithmetic and geometric Sequences and Series

#### Section 8.4 Mathematical Induction

#### Section 8.5 The Binomial Theorem

#### Section 8.6 Principles of Counting

#### Section 8.7 Introduction to Probability

### Appendix A: Proof of the Binomial Theorem

# About the Author

**Julie Miller**

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.**

# College Algebra 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

### Chapter 6: Matrices and Determinants and Applications

#### Section 6.1 Solving Systems of Linear Equations Using Matrices

#### Section 6.2 Inconsistent Systems and Dependent Equations

#### Section 6.3 Operations on Matrices

#### Section 6.4 Inverse Matrices and Matrix Equations

#### Section 6.5 Determinants and Cramer’s Rule

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

### Chapter 7: Analytic Geometry

#### Section 7.1 The Ellipse

#### Section 7.2 The Hyperbola

#### Section 7.3 The Parabola

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

### Chapter 8: Sequences, Series, Induction, and Probability

#### Section 8.1 Sequences and Series

#### Section 8.2 Arithmetic Sequences and Series

#### Section 8.3 Geometric Sequences and Series

Problem Recognition Exercises: Comparing Arithmetic and geometric Sequences and Series

#### Section 8.4 Mathematical Induction

#### Section 8.5 The Binomial Theorem

#### Section 8.6 Principles of Counting

#### Section 8.7 Introduction to Probability

### Appendix A: Proof of the Binomial Theorem

# About the Author

**Julie Miller**

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.**

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##### Students Solutions Manual For College Algebra

1^{st} Edition

ISBN10: 0077538676

ISBN13: 9780077538675

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