Module 1 : A Crash Course in Vectors
Lecture 4 : Gradient of a Scalar Function
 
   Recap
   In this lecture you have learnt the following
Gradint of a scalar function was defined. Gradient is a scalar function.
The magnitude of the gradient is equal to the maxium rate of change of the scalar field and its direction is along the
  direction of greatest change in the scalar function.
The net outward flux from a volume element around a point is a measure of the divergence of the vector field at that
  point.
We derived trhe divergence theorem which shows that the volume integral of the divergence of a vector function over
  any volume is equal to the outward flux through a surface which encloses this volume.
Divergence was calculated for functions in different coordinate systems and divergence theorem was verified.
 

 

 

 

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