Precalculus, Global Edition

<div> <h3>P. Prerequisites: 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>P.5 Factoring Polynomials</li> <li>P.6 Rational Expressions</li> <li>P.7 Equations</li> <li>P.8 Modeling with Equations</li> <li>P.9 Linear Inequalities and Absolute Value Inequalities</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter P Test</li> </ul> <h3>1. Functions and Graphs</h3> <ul> <li>1.1 Graphs and Graphing Utilities</li> <li>1.2 Basics of Functions and Their Graphs</li> <li>1.3 More on Functions and Their Graphs</li> <li>1.4 Linear Functions and Slope</li> <li>1.5 More on Slope</li> <li>1.6 Transformations of Functions</li> <li>1.7 Combinations of Functions; Composite Functions</li> <li>1.8 Inverse Functions</li> <li>1.9 Distance and Midpoint Formulas; Circles</li> <li>1.10 Modeling with Functions</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 1 Test</li> </ul> <h3>2. Polynomial and Rational Functions</h3> <ul> <li>2.1 Complex Numbers</li> <li>2.2 Quadratic Functions</li> <li>2.3 Polynomial Functions and Their Graphs</li> <li>2.4 Dividing Polynomials; Remainder and Factor Theorems</li> <li>2.5 Zeros of Polynomial Functions</li> <li>2.6 Rational Functions and Their Graphs</li> <li>2.7 Polynomial and Rational Inequalities</li> <li>2.8 Modeling Using Variation</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 2 Test</li> <li>Cumulative Review Exercises (Chapters P–2)</li> </ul> <h3>3. Exponential and Logarithmic Functions</h3> <ul> <li>3.1 Exponential Functions</li> <li>3.2 Logarithmic Functions</li> <li>3.3 Properties of Logarithms</li> <li>3.4 Exponential and Logarithmic Equations</li> <li>3.5 Exponential Growth and Decay; Modeling Data</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 3 Test</li> <li>Cumulative Review Exercises (Chapters P–3)</li> </ul> <h3>4. Trigonometric Functions</h3> <ul> <li>4.1 Angles and Radian Measure</li> <li>4.2 Trigonometric Functions: The Unit Circle</li> <li>4.3 Right Triangle Trigonometry</li> <li>4.4 Trigonometric Functions of Any Angle</li> <li>4.5 Graphs of Sine and Cosine Functions</li> <li>4.6 Graphs of Other Trigonometric Functions</li> <li>4.7 Inverse Trigonometric Functions</li> <li>4.8 Applications of Trigonometric Functions</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 4 Test</li> <li>Cumulative Review Exercises (Chapters P–4)</li> </ul> <h3>5. Analytic Trigonometry</h3> <ul> <li>5.1 Verifying Trigonometric Identities</li> <li>5.2 Sum and Difference Formulas</li> <li>5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas</li> <li>5.4 Product-to-Sum and Sum-to-Product Formulas</li> <li>5.5 Trigonometric Equations</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 5 Test</li> <li>Cumulative Review Exercises (Chapters P–5)</li> </ul> <h3>6. Additional Topics in Trigonometry</h3> <ul> <li>6.1 The Law of Sines</li> <li>6.2 The Law of Cosines</li> <li>6.3 Polar Coordinates</li> <li>6.4 Graphs of Polar Equations</li> <li>6.5 Complex Numbers in Polar Form; DeMoivre's Theorem</li> <li>6.6 Vectors</li> <li>6.7 The Dot Product</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 6 Test</li> <li>Cumulative Review Exercises (Chapters P–6)</li> </ul> <h3>7. Systems of Equations and Inequalities</h3> <ul> <li>7.1 Systems of Linear Equations in Two Variables</li> <li>7.2 Systems of Linear Equations in Three Variables</li> <li>7.3 Partial Fractions</li> <li>7.4 Systems of Nonlinear Equations in Two Variables</li> <li>7.5 Systems of Inequalities</li> <li>7.6 Linear Programming</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 7 Test</li> <li>Cumulative Review Exercises (Chapters P–7)</li> </ul> <h3>8. Matrices and Determinants</h3> <ul> <li>8.1 Matrix Solutions to Linear Systems</li> <li>8.2 Inconsistent and Dependent Systems and Their Applications</li> <li>8.3 Matrix Operations and Their Applications</li> <li>8.4 Multiplicative Inverses of Matrices and Matrix Equations</li> <li>8.5 Determinants and Cramer's Rule</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 8 Test</li> <li>Cumulative Review Exercises (Chapters P–8)</li> </ul> <h3>9. Conic Sections and Analytic Geometry</h3> <ul> <li>9.1 The Ellipse</li> <li>9.2 The Hyperbola</li> <li>9.3 The Parabola</li> <li>9.4 Rotation of Axes</li> <li>9.5 Parametric Equations</li> <li>9.6 Conic Sections in Polar Coordinates</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 9 Test</li> <li>Cumulative Review Exercises (Chapters P–9)</li> </ul> <h3>10. Sequences, Induction, and Probability</h3> <ul> <li>10.1 Sequences and Summation Notation</li> <li>10.2 Arithmetic Sequences</li> <li>10.3 Geometric Sequences and Series</li> <li>10.4 Mathematical Induction</li> <li>10.5 The Binomial Theorem</li> <li>10.6 Counting Principles, Permutations, and Combinations</li> <li>10.7 Probability</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 10 Test</li> <li>Cumulative Review Exercises (Chapters P–10)</li> </ul> <h3>11. Introduction to Calculus</h3> <ul> <li>11.1 Finding Limits Using Tables and Graphs</li> <li>11.2 Finding Limits Using Properties of Limits</li> <li>11.3 Limits and Continuity</li> <li>11.4 Introduction to Derivatives</li> <li>Summary, Review, and Test</li> <li>Review Exercises</li> <li>Chapter 11 Test</li> <li>Cumulative Review Exercises (Chapters P–11)</li> </ul> <ul> <li>Appendix A: Where Did That Come From? Selected Proofs</li> <li>Appendix B: The Transition from Precalculus to Calculus</li> <li>Answers to Selected Exercises</li> <li>Subject Index</li> <li>Credits</li> </ul> </div>