Table of Contents 
1 

Limits and Continuity (free) 

1.0 
Introduction: What Is Calculus 

1.1 
Rate of Change and Limits 

1.2 
Limits Involving Infinity 

1.3 
Continuity 

1.4 
Rate of Change and Tangent Lines 
2 

Derivatives 

2.1 
Derivative of a Function 

2.2 
Differentiability 

2.3 
Rules for Differentiation 

2.4 
Velocity and Other Rates of Change 

2.5 
Derivatives of Trigonometric Functions 

2.6 
Chain Rule 

2.7 
Implicit Differentiation 

2.8 
Derivatives of Inverse Trigonometric Functions 

2.9 
Derivatives of Exponential and Logarithmic Functions 
3 

Applications of Derivatives 

3.1 
Extreme Values of Functions 

3.2 
Mean Value Theorem 

3.3 
Connecting f' and f'' with the Graph of f 

3.4 
Modeling and Optimization 

3.5 
Linearization and Newton's Method 

3.6 
Related Rates 