- Introduction to Limits
- Evaluating Limits
- Infinite Limits
- Limits at Infinity
- Continuity
- Precise Definition of a Limit

- Introduction to the Derivative
- Rules of Differentiation
- Derivatives of Trigonometric Functions
- Derivatives of Logarithmic and Exponential Functions
- The Product Rule
- The Quotient Rule
- The Chain Rule
- Implicit Differentiation

- The Derivative as a Rate of Change
- Related Rates
- Maxima and Minima
- Graphing with the Derivative
- Optimization
- Linear Approximation and Differentials
- Mean Value Theorem, Newton's Method, and L'Hopital's Rule