Algebra and Trigonometry

<p>R. Basic Concepts of Algebra</p> <p>R.1 The Real-Number Systemeal Numbers</p> <p>R.2 Integer Exponents, Scientific Notation, and Order of Operations</p> <p>R.3 Addition, Subtraction, and Multiplication of Polynomials</p> <p>R.4 Factoring Terms with Common Factors</p> <p>R.5 The Basics of Equation Solving</p> <p>R.6 Rational Expressions</p> <p>R.7 Radical Notation and Rational Exponents</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>1. Graphs; Linear Functions and Models</p> <p>1.1 Introduction to Graphing</p> <p>Visualizing the Graph</p> <p>1.2 Functions and Graphs</p> <p>1.3 Linear Functions, Slope, and Applications</p> <p>Visualizing the Graph</p> <p>Mid-Chapter Mixed Review</p> <p>1.4 Equations of Lines and Modeling</p> <p>1.5 Linear Equations, Functions, Zeros, and Applications</p> <p>1.6 Solving Linear Inequalities</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>2. More on Functions</p> <p>2.1 Increasing, Decreasing, and Piecewise Functions; Applications</p> <p>2.2 The Algebra of Functions </p> <p>2.3 The Composition of Functions</p> <p>Mid-Chapter Mixed Review</p> <p>2.4 Symmetry and Transformations</p> <p>Visualizing the Graph</p> <p>2.5 Variation and Applications</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>3. Quadratic Functions and Equations; Inequalities</p> <p>3.1 The Complex Numbers</p> <p>3.2 Quadratic Equations, Functions, Zeros, and Models</p> <p>3.3 Analyzing Graphs of Quadratic Functions</p> <p>Visualizing the Graph</p> <p>Mid-Chapter Mixed Review</p> <p>3.4 Solving Rational Equations and Radical Equations</p> <p>3.5 Solving Linear Inequalities</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>4. Polynomial and Rational Functions</p> <p>4.1 Polynomial Functions and Modeling</p> <p>4.2 Graphing Polynomial Functions</p> <p>Visualizing the Graph</p> <p>4.3 Polynomial Division; The Remainder and Factor Theorems</p> <p>Mid-Chapter Mixed Review</p> <p>4.4 Theorems about Zeros of Polynomial Functions</p> <p>4.5 Rational Functions</p> <p>Visualizing the Graph</p> <p>4.6 Polynomial and Rational Inequalities</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>5. Exponential and Logarithmic Functions</p> <p>5.1 Inverse Functions</p> <p>5.2 Exponential Functions and Graphs</p> <p>5.3 Logarithmic Functions and Graphs</p> <p>Mid-Chapter Mixed Review</p> <p>5.4 Properties of Logarithmic Functions</p> <p>5.5 Solving Exponential Equations and Logarithmic Equations</p> <p>5.6 Applications and Models: Growth and Decay; Compound Interest</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>6. The Trigonometric Functions</p> <p>6.1 Trigonometric Functions of Acute Angles</p> <p>6.2 Applications of Right Triangles</p> <p>6.3 Trigonometric Functions of Any Angle</p> <p>¿ Mid-Chapter Mixed Review</p> <p>6.4 Radians, Arc Length, and Angular Speed</p> <p>6.5 Circular Functions: Graphs and Properties</p> <p>6.6 Graphs of Transformed Sine and Cosine Functions</p> <p>Visualizing the Graph</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>7. Trigonometric Identities, Inverse Functions, and Equations</p> <p>7.1 Identities: Pythagorean and Sum and Difference</p> <p>7.2 Identities: Cofunction, Double-Angle, and Half-Angle</p> <p>7.3 Proving Trigonometric Identities</p> <p>Mid-Chapter Mixed Review</p> <p>7.4 Inverses of the Trigonometric Functions</p> <p>7.5 Solving Trigonometric Equations</p> <p>Visualizing the Graph</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>¿</p> <p>8. Applications of Trigonometry</p> <p>8.1 The Law of Sines</p> <p>8.2 The Law of Cosines</p> <p>8.3 Complex Numbers: Trigonometric Form</p> <p>Mid-Chapter Mixed Review</p> <p>8.4 Polar Coordinates and Graphs</p> <p>Visualizing the Graph</p> <p>8.5 Vectors and Applications</p> <p>8.6 Vector Operations</p> <p>Study Guide</p> <p>Review Exercises</p>