Functions

• Key Features of Functions and Their Graphs
• Polynomial Functions
• Rational Functions
• Radical Functions
• Exponential Functions
• Logarithmic Functions
• Piecewise Functions

Applications of Functions

• Compare Key Features of Functions
• Systems of Equations
• Combining Functions
• Composing Functions
• Inverse Functions
• Difference Quotient

Conic Sections

• Exploring Conic Sections
• Circles
• Parabolas
• Ellipses
• Hyperbolas Applications Using Conic Sections

Sequences and Series

• Sequences vs. Series
• Arithmetic Sequences
• Geometric Sequences
• Series
• Applications of Sequences and Series

Trigonometry

• Defining Trigonometric Functions and Their Angles
• Law of Sines
• Law of Cosines
• Unit Circle
• Making the Unit Circle Work for You
• Graphing the Sine and Cosine Functions
• Graphing Other Trigonometric Functions
• Analyzing Trigonometric Functions

Trigonometric Identities and Formulas

• Trigonometric Identities
• Angle Sum and Difference Formulas
• Double-Angle and Half-Angle Formulas
• Applying Trigonometric Identities
• Solving Trigonometric Equations

Vectors

• What is a vector?
• How are vectors written?
• What vector operations can be applied?
• How are vectors multiplied?
• Can vectors change size?
• Why are vectors useful?

Analyzing the Coordinate Plane

• Polar Coordinates
• Polar Equations
• Complex Numbers
• Applications of Complex Numbers
• Parametric Equations