Important definitions related to maximum and minimum.

Description
The conditions required for a set to be closed, bounded and compact are defined. Theorems on such a set are stated and application of these theorems are shown. The interior, the boundary points local maximum and critical point of a compact set are defined. Symmetric quadratic form of a matrix function is defined.
Prof. James McKernan, Maths, 18.022. Calculus of Several Variables, Fall 2010: 20. Maxima and minima: I: Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed October14, 2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc