Algebra and Trigonometry, Global Edition

<div class="c-un-numbered-list_container"> <ul> <li><strong>P. Prerequisites: Fundamental Concepts of Algebra</strong></li> <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> </ul> <ul> <li><strong>1. Equations and Inequalities</strong></li> <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>1.6 Other Types of Equations</li> <li>1.7 Linear Inequalities and Absolute Value Inequalities</li> </ul> <ul> <li><strong>2. Functions and Graphs</strong></li> <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>2.5Transformations 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> </ul> <ul> <li><strong>3. Polynomial and Rational Functions</strong></li> <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>3.5 Rational Functions and Their Graphs</li> <li>3.6 Polynomial and Rational Inequalities</li> <li>3.7 Modeling Using Variation</li> </ul> <ul> <li><strong>4. Exponential and Logarithmic Functions</strong></li> <li>4.1 Exponential Functions</li> <li>4.2 Logarithmic Functions</li> <li>4.3 Properties of Logarithms</li> <li>4.4 Exponential and Logarithmic Equations</li> <li>4.5 Exponential Growth and Decay; Modeling Data</li> </ul> <ul> <li><strong>5. Trigonometric Functions</strong></li> <li>5.1 Angles and Radian Measure</li> <li>5.2 Right Triangle Trigonometry</li> <li>5.3 Trigonometric Functions of Any Angle</li> <li>5.4 Trigonometric Functions of Real Numbers; Periodic Functions</li> <li>5.5 Graphs of Sine and Cosine Functions</li> <li>5.6 Graphs of Other Trigonometric Functions</li> <li>5.7 Inverse Trigonometric Functions</li> <li>5.8 Applications of Trigonometric Functions</li> </ul> <ul> <li><strong>6. Analytic Trigonometry</strong></li> <li>6.1 Verifying Trigonometric Identities</li> <li>6.2 Sum and Difference Formulas</li> <li>6.3Double-Angle, Power-Reducing, and Half-Angle Formulas</li> <li>6.4 Product-to-Sumand Sum-to-Product Formulas</li> <li>6.5 Trigonometric Equations</li> </ul> <ul> <li><strong>7. Additional Topics in Trigonometry</strong></li> <li>7.1 The Law of Sines</li> <li>7.2 The Law of Cosines</li> <li>7.3 Polar Coordinates</li> <li>7.4 Graphs of Polar Equations</li> <li>7.5 Complex Numbers in Polar Form; De Moivre's Theorem</li> <li>7.6 Vectors</li> <li>7.7 The Dot Product</li> </ul> <ul> <li><strong>8. Systems of Equations and Inequalities</strong></li> <li>8.1 Systems of Linear Equations in Two Variables</li> <li>8.2 Systems of Linear Equations in Three Variables</li> <li>8.3 Partial Fractions</li> <li>8.4 Systems of Nonlinear Equations in Two Variables</li> <li>8.5 Systems of Inequalities</li> <li>8.6 Linear Programming</li> </ul> <ul> <li><strong>9. Matrices and Determinants</strong></li> <li>9.1 Matrix Solutions to Linear Systems</li> <li>9.2 Inconsistent and Dependent Systems and Their Applications</li> <li>9.3 Matrix Operations and Their Applications</li> <li>9.4 Multiplicative Inverses of Matrices and Matrix Equations</li> <li>9.5 Determinants and Cramer's Rule</li> </ul> <ul> <li><strong>10. Conic Sections and Analytic Geometry</strong></li> <li>10.1 The Ellipse</li> <li>10.2 The Hyperbola</li> <li>10.3 The Parabola</li> <li>10.4 Rotation of Axes</li> <li>10.5 Parametric Equations</li> <li>10.6 Conic Sections in Polar Coordinates</li> </ul> <ul> <li><strong>11. Sequences, Induction, and Probability</strong></li> <li>11.1 Sequences and Summation Notation</li> <li>11.2 Arithmetic Sequences</li> <li>11.3 Geometric Sequences and Series</li> <li>11.4 Mathematical Induction</li> <li>11.5 The Binomial Theorem</li> <li>11.6 Counting Principles, Permutations, and Combinations</li> <li>11.7 Probability</li> </ul> </div>