Maximise and minimise a function at the boundary.

Description
How to maximise and minimise a function at the boundary are discussed in this lecture note. The method of Lagrange multipliers is used to get the minimum of a function. problems on maximum and minimum and to find critical points are solved by Prof. James McKernan.
Prof. James McKernan, Maths, 18.022. Calculus of Several Variables, Fall 2010: 21. Maxima and minima: II: Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed October17, 2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc