Vector Fields: Gradient and Divergence

This lecture covers the concepts of vector fields, focusing on the gradient and divergence operations. Starting with the definition of the gradient and its application to temperature fields, the instructor explains the concept of heat flux vectors and thermal conductivity. The lecture then delves into the definition of divergence, illustrating how to relate surface tractions to internal stress. By considering a continuum body with no body forces, the lecture concludes with the application of the divergence theorem via stress vectors and stress tensor.