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