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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 | |
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