- Rules for evaluating limits

- Rules for differentiation

- l'Hospital's rule

- Fundamental Theorem of Calculus

- Integration techniques

- Differentiating improper integrals

- Functions of Several Variables

- Higher order partial derivatives

- The Greeks

- Change of variables

- Polar coordinates

- Vectors

- Matrices

- Solving Ax = b

- Eigenvalues and eigenvectors

- Matrix factorizations

- Optimal investment portfolios

- Finite difference approximation

- Newton's method

- Numerical integration