### Precalculus

### Single Variable Calculus

- Derivative and Tangent Line
- Constant, Linear, Quadratic and Cubic Approximations
- Newton’s Method
- Numerical Integration
- Lagrange Multipliers with Two Variables

### Vectors and Algebra

- Rotating Coordinates
- Operations on Vectors
- Determinant and Vector Products
- Multiplication of a Vector by a Matrix
- Linear Transformations in Three Dimensions

### Application to 3D Linear Geometry

### Curves

### Fields and Surfaces

- Directional Derivatives
- Contour Lines, Gradients and Directional Derivatives
- Curves and Surfaces
- Functions of Two Variables
- Newton’s Method with Two Equations and Two Variables