# 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

## No comments