AP Calculus Power Points

Chapter 1: Prerequisites for Calculus

1. Lines

2. Functions and Graphs

3. Exponential Functions

4. Parametric Equations

5. Functions and Logarithms

6. Trigonometric Functions

Chapter 2: Limits and Continuity

1. Rates of Change and Limits

2. Limits Involving Infinity

3. Continuity

4. Rates of Change and Tangent Lines

Chapter 3: Derivatives

1. Derivative of a Function

2. Differentiability

3. Rules for Differentiation

4. Velocity and Other Rates of Change

5. Derivatives of Trigonometric Functions

6. Chain Rule

7. 7 Implicit Differentiation

8. 8 Derivatives of Inverse Trigonometric Functions

9. 9 Derivatives of Exponential and Logarithmic Functions

Chapter 4: Applications of Derivatives

1. Extreme Values of Functions

2. Mean Value Theorem

3. Connecting f' and f'' with the Graph of f

4. Modeling and Optimization

5. Linearization and Newton's Method

6. Related Rates

Chapter 5: The Definite Integral

1. Estimating with Finite Sums

2. Definite Integrals

3. Definite Integrals and Antiderivatives

4. Fundamental Theorem of Calculus

5. Trapezoidal Rule

Chapter 6: Differential Equations and Mathematical Modeling

1. Slope Fields and Euler's Method

2. Antidifferentiation by Substitution

Chapter 8: Sequences, L’Hôpital’s Rule, and Improper Integrals

2. L'Hôpital's Rule