**Precalculus- Review**

- Solving Equations
- Functions
- Exponents, Logarithms and Their Properties
- Trig and The Unit Circle

**Limits**

- Definition of a Limit
- Finding Limits Graphically
- Finding Limits with Tables
- Finding Limits Algebraically
- Factoring
- Conjugates
- Trig Identities

- Special Limits

Derivatives

- Secant and Tangent Lines
- The Equation of a Tangent and Normal Line
- The Limit Definition of the Derivative
- Graphing a Derivative from a Function
- Basic Derivatives: The Power Rule and e^x
- The Product Rule and The Quotient Rule
- Derivatives of Trigonometric Functions
- Implicit Differentiation
- Derivatives of Inverse Functions inc. Inverse Trig
- Logarithmic Differentiation

**Applications of Derivatives**

- Related Rates
- Critical Points, Extrema and Points of Inflection
- First and Second Derivative Tests (Increasing/Decreasing/Concavity)
- Curve Sketching
- Optimization
- Linear Approximation

**Integrals**