In this part we will study a new type of optimization problem: that of finding the maximum (or minimum) value of a function *w* = *f*(*x, y, z*) when we are only allowed to consider points (*x, y, z*) which are constrained to lie on a surface. The technique we will use to solve these problems is called Lagrange multipliers.

» Session 39: Statement of Lagrange Multipliers and Example

» Session 40: Proof of Lagrange Multipliers

» Session 41: Advanced Example

» Session 42: Constrained Differentials

» Session 43: Clearer Notation

» Session 44: Example

» Problem Set 6