### AP Calculus

Big Idea 1: Limits
• Limits in Calculus
• Obj. 1: Limit Notation & Basic Definition
• Obj. 2: Reviewing continuous functions.
• Obj. 3: Limits and Discontinuity
• Obj. 4: Estimating Limits Graphically
• Obj. 5: Evaluating Limits Algebraically
• Obj. 6: Formal Definition of Continuity
• Obj. 7: One-Sided Limits
• Obj. 8: Nonexistent Limits
• Obj. 9: Limits & Infinity
• Obj. 10: Intermediate Value Theorem, Extreme Value Theorem, Mean Value Theorem
• L-Hospital's Rule for Indeterminate Forms (learn after reviewing Big Idea 2)

Big Idea 2: Derivatives

• Definition of a Derivative and the Difference Quotient
• Estimating the Derivative
• Derivative Rules
• Derivative Applications
• Related Rates & Optimization
• The Chain Rule
• Implicit Differentiation
• Derivative of an Inverse Function
• Vector-, Parametric-, and Polar Forms of Derivatives
• Higher Order Derivatives
• Differentiability and Continuity
• Analyzing Functions using Derivatives
• Analyzing Functions using Derivatives in Polar Form

Big Idea 3: Integrals

Big Idea 4: Series (BC)

Extra:

• Epsilon-Delta Definition of a Limit