After completing this section, students should be able to do the following.

- Understand the geometric basis of the method of Lagrange multipliers.
- Use Lagrange multipliers to solve constrained optimization problems.
- Define the Lagrangian.

After completing this section, students should be able to do the following.

- Understand the geometric basis of the method of Lagrange multipliers.
- Use Lagrange multipliers to solve constrained optimization problems.
- Define the Lagrangian.