| |
| |
| |
| Graphs and Functions | |
| |
| |
| |
| The Distance and Midpoint Formulas | |
| |
| |
| |
| Graphs of Equations; Circles | |
| |
| |
| |
| Functions and Their Graph | |
| |
| |
| |
| Properties of Functions | |
| |
| |
| |
| Library of Functions; Piecewise-defined Functions | |
| |
| |
| |
| Graphing Techniques: Transformations | |
| |
| |
| |
| One-to-One Functions; Inverse Functions Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Trigonometric Functions | |
| |
| |
| |
| Angles and Their Measure | |
| |
| |
| |
| Trigonometric Functions: Unit Circle Approach | |
| |
| |
| |
| Properties of the Trigonometric Functions | |
| |
| |
| |
| Graphs of the Sine and Cosine Functions | |
| |
| |
| |
| Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |
| |
| |
| |
| Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Analytic Trigonometry | |
| |
| |
| |
| The Inverse Sine, Cosine, and Tangent Functions | |
| |
| |
| |
| The Inverse Trigonometric Functions (continued) | |
| |
| |
| |
| Trigonometric Identities | |
| |
| |
| |
| Sum and Difference Formulas | |
| |
| |
| |
| Double-Angle and Half-Angle Formulas | |
| |
| |
| |
| Product-to-Sum and Sum-to-Product Formulas | |
| |
| |
| |
| Trigonometric Equations (I) | |
| |
| |
| |
| Trigonometric Equations (II) Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Applications of Trigonometric Functions | |
| |
| |
| |
| Applications Involving Right Triangles | |
| |
| |
| |
| Law of Sines | |
| |
| |
| |
| Law of Cosines | |
| |
| |
| |
| Area of a Triangle | |
| |
| |
| |
| Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Polar Coordinates; Vectors | |
| |
| |
| |
| Polar Coordinates | |
| |
| |
| |
| Polar Equations and Graphs | |
| |
| |
| |
| The Complex Plane; DeMoivres Theorem | |
| |
| |
| |
| Vectors | |
| |
| |
| |
| The Dot Product | |
| |
| |
| |
| Vectors in Space | |
| |
| |
| |
| The Cross Product Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Analytic Geometry | |
| |
| |
| |
| Conics | |
| |
| |
| |
| The Parabola | |
| |
| |
| |
| The Ellipse | |
| |
| |
| |
| The Hyperbola | |
| |
| |
| |
| Rotation of Axes; General Form of a Conic | |
| |
| |
| |
| Polar Equations of Conics | |
| |
| |
| |
| Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Exponential Functions | |
| |
| |
| |
| Logarithmic Functions | |
| |
| |
| |
| Properties of Logarithms | |
| |
| |
| |
| Logarithmic and Exponential Equations | |
| |
| |
| |
| Compound Interest | |
| |
| |
| |
| Exponential Growth and Decay Models; Newtons Law; Logistic Growth and Decay Models | |
| |
| |
| |
| Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects | |
| |
| |
| |
| Review | |
| |
| |
| |
| Algebra Essentials | |
| |
| |
| |
| Geometry Essentials | |
| |
| |
| |
| Factoring Polynomials | |
| |
| |
| |
| Solving Equations | |
| |
| |
| |
| Complex Numbers; Quadratic Equations in the Complex Number System | |
| |
| |
| |
| Interval Notation; Solving Inequalities | |
| |
| |
| |
| nth Roots; Rational Exponents; Radical Equations | |
| |
| |
| |
| Lines | |
| |
| |
| |
| Building Linear Functions from Data | |
| |
| |
| |
| Graphing Utilities | |
| |
| |
| |
| The Viewing Rectangle | |
| |
| |
| |
| Using a Graphing Utility to Graph Equations | |
| |
| |
| |
| Using a Graphing Utility to Locate Intercepts and Check for Symmetry | |
| |
| |
| |
| Using a Graphing Utility to Solve Equations | |
| |
| |
| |
| Square Screens | |