College Algebra Essentials

<h1>College Algebra Essentials 1e</h1><h3>Chapter R: Review of Prerequisites</h3><h4>Section R.1 Sets and the Real Number Line</h4><h4>Section R.2 Models, Algebraic Expressions, and Properties of Real Numbers</h4><h4>Section R.3 Integer Exponents and Scientific Notation</h4><h4>Section R.4 Rational Exponents and Radicals</h4><h4>Section R.5 Polynomials and Multiplication of Radicals<p>Problem Recognition Exercises: Simplifying Algebraic Expressions</h4><h4>Section R.6 Factoring</h4><h4>Section R.7 Rational Expressions and More Operations on Radicals</h4><h3>Chapter 1: Equations and Inequalities</h3><h4>Section 1.1 Linear Equations and Rational Equations</h4><h4>Section 1.2 Applications and Modeling with Linear Equations</h4><h4>Section 1.3 Complex Numbers</h4><h4>Section 1.4 Quadratic Equations<p>Problem Recognition Exercises: Simplifying Expressions versus Solving Equations</h4><h4>Section 1.5 Applications of Quadratic Equations</h4><h4>Section 1.6 More Equations and Applications</h4><h4>Section 1.7 Linear Inequalities and Compound Inequalities</h4><h4>Section 1.8 Absolute Value Equations and Inequalities<p>Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities</h4><h3>Chapter 2: Functions and Graphs</h3><h4>Section 2.1 The Rectangular Coordinate System and Graphing Utilities</h4><h4>Section 2.2 Circles</h4><h4>Section 2.3 Functions and Relations</h4><h4>Section 2.4 Linear Equations in Two Variables and Linear Functions</h4><h4>Section 2.5 Applications of Linear Equations and Modeling<p>Problem Recognition Exercises: Comparing Graphs of Equations</h4><h4>Section 2.6 Transformation of Graphs</h4><h4>Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions</h4><h4>Section 2.8 The Algebra of Functions</h4><h3>Chapter 3: Polynomial and Rational Functions</h3><h4>Section 3.1 Quadratic Functions and Applications</h4><h4>Section 3.2 Introduction to Polynomial Functions</h4><h4>Section 3.3 Division of Polynomials and the Remainder and Factor Theorems</h4><h4>Section 3.4 Zeros of Polynomials</h4><h4>Section 3.5 Rational Functions<p>Problem Recognition Exercises: Polynomial and Rational Functions</h4><h4>Section 3.6 Polynomial and Rational Inequalities<p>Problem Recognition Exercises: Solving Equations and Inequalities</h4><h4>Section 3.7 Variation</h3><h3>Chapter 4: Exponential and Logarithmic Functions</h3><h4>Section 4.1 Inverse Functions</h4><h4>Section 4.2 Exponential Functions</h4><h4>Section 4.3 Logarithmic Functions<p>Problem Recognition Exercises: Analyzing Functions</h4><h4>Section 4.4 Properties of Logarithms</h4><h4>Section 4.5 Exponential and Logarithmic Equations</h4><h4>Section 4.6 Modeling with Exponential and Logarithmic Functions</h4><h3>Chapter 5: Systems of Equations and Inequalities</h3><h4>Section 5.1 Systems of Linear Equations in Two Variables and Applications</h4><h4>Section 5.2 Systems of Linear Equations in Three Variables and Applications</h4><h4>Section 5.3 Partial Fraction Decomposition</h4><h4>Section 5.4 Systems of Nonlinear Equations in Two Variables</h4><h4>Section 5.5 Inequalities and Systems of Inequalities in Two Variables<p>Problem Recognition Exercises: Equations and Inequalities in Two Variables</h4><h4>Section 5.6 Linear Programming</h4>