<div class="c-un-numbered-headers-and-contents-list__container"> <h3>P. Fundamental Concepts of Algebra</h3> <ul> <li>P.1 Algebraic Expressions, Mathematical Models, and Real Numbers</li> <li>P.2 Exponents and Scientific Notation</li> <li>P.3 Radicals and Rational Exponents</li> <li>P.4 Polynomials</li> <li>Mid-Chapter Check Point</li> <li>P.5 Factoring Polynomials</li> <li>P.6 Rational Expressions</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter P Test</li> </ul> <h3>1. Equations and Inequalities</h3> <ul> <li>1.1 Graphs and Graphing Utilities</li> <li>1.2 Linear Equations and Rational Equations</li> <li>1.3 Models and Applications</li> <li>1.4 Complex Numbers</li> <li>1.5 Quadratic Equations</li> <li>Mid-Chapter Check Point</li> <li>1.6 Other Types of Equations</li> <li>1.7 Linear Inequalities and Absolute Value Inequalities</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 1 Test</li> </ul> <h3>2. Functions and Graphs</h3> <ul> <li>2.1 Basics of Functions and Their Graphs</li> <li>2.2 More on Functions and Their Graphs</li> <li>2.3 Linear Functions and Slope</li> <li>2.4 More on Slope</li> <li>Mid-Chapter Check Point</li> <li>2.5 Transformations of Functions</li> <li>2.6 Combinations of Functions; Composite Functions</li> <li>2.7 Inverse Functions</li> <li>2.8 Distance and Midpoint Formulas; Circles</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 2 Test</li> <li>Cumulative Review Exercises Chapters 1 - 2</li> </ul> <h3>3. Polynomial and Rational Functions</h3> <ul> <li>3.1 Quadratic Functions</li> <li>3.2 Polynomial Functions and Their Graphs</li> <li>3.3 Dividing Polynomials; Remainder and Factor Theorems</li> <li>3.4 Zeros of Polynomial Functions</li> <li>Mid-Chapter Check Point</li> <li>3.5 Rational Functions and Their Graphs</li> <li>3.6 Polynomial and Rational Inequalities</li> <li>3.7 Modeling Using Variation</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 3 Test</li> <li>Cumulative Review Exercises Chapters 1 - 3</li> </ul> <h3>4. Exponential and Logarithmic Functions</h3> <ul> <li>4.1 Exponential Functions</li> <li>4.2 Logarithmic Functions</li> <li>4.3 Properties of Logarithms</li> <li>Mid-Chapter Check Point</li> <li>4.4 Exponential and Logarithmic Equations</li> <li>4.5 Exponential Growth and Decay; Modeling Data</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 4 Test</li> <li>Cumulative Review Exercises Chapters 1 - 4</li> </ul> <h3>5. Systems of Equations and Inequalities</h3> <ul> <li>5.1 Systems of Linear Equations in Two Variables</li> <li>5.2 Systems of Linear Equations in Three Variables</li> <li>5.3 Partial Fractions</li> <li>5.4 Systems of Nonlinear Equations in Two Variables</li> <li>Mid-Chapter Check Point</li> <li>5.5 Systems of Inequalities</li> <li>5.6 Linear Programming</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 5 Test</li> <li>Cumulative Review Chapters 1 - 5</li> </ul> <h3>6. Matrices and Determinants</h3> <ul> <li>6.1 Matrix Solutions to Linear Systems</li> <li>6.2 Inconsistent and Dependent Systems and Their Applications</li> <li>6.3 Matrix Operations and Their Applications</li> <li>Mid-Chapter Check Point</li> <li>6.4 Multiplicative Inverses of Matrices and Matrix Equations</li> <li>6.5 Determinants and Cramer's Rule</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 6 Test</li> <li>Cumulative Review Chapters 1 - 6</li> </ul> <h3>7. Conic Sections</h3> <ul> <li>7.1 The Ellipse</li> <li>7.2 The Hyperbola</li> <li>Mid-Chapter Check Point</li> <li>7.3 The Parabola</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 7 Test</li> <li>Cumulative Review Chapters 1 - 7</li> </ul> <h3>8. Sequences, Induction, and Probability</h3> <ul> <li>8.1 Sequences and Summation Notation</li> <li>8.2 Arithmetic Sequences</li> <li>8.3 Geometric Sequences and Series</li> <li>Mid-Chapter Check Point</li> <li>8.4 Mathematical Induction</li> <li>8.5 The Binomial Theorem</li> <li>8.6 Counting Principles, Permutations, and Combinations</li> <li>8.7 Probability</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 8 Test</li> <li>Cumulative Review Chapters 1-8</li> </ul> <h3>Appendix</h3> <ul> <li>Where Did That Come From? Selected Proofs</li> </ul> <h4 class="h5">Answers to Selected Exercises (Selected answers in Student Edition. In Annotated Instructor's Edition, the longer answers that don't fit next to exercises appear here.)</h4> <h4 class="h5">Subject Index</h4> <h4 class="h5">Credits</h4> </div>
