Global Extrema of Functions in R^2

This lecture covers the concept of global extrema for functions of two variables in R^2, focusing on the existence and determination of global maximum and minimum points. The instructor explains the conditions for a function to have global extrema and provides methods to find them, including analyzing stationary points and points on the boundary of the domain. Examples and theorems are used to illustrate the concepts, emphasizing the importance of closed and bounded domains in the context of global extrema.