Module 1 : A Crash Course in Vectors
Lecture 5 : Curl of a Vector - Stoke's Theorem
 
   Recap
   In this lecture you have learnt the following
Curl of a vector field was defined.
Stokes theorem was established. According to Stoke's theorem the surface integral of the curl of a vector through a
  surface is equal to the line integral of the field over any curve which binds the surface.
Stokes theorem was verified by calculating the curl for several cases of vector field.
Laplacian was defined and its expression in spherical polar and cylindrical coordinates was obtained.
We defined a generalized function called Dirac- Delta function which has the property that it vanishes everywhere
  except at a point where its argument vanishes. Even so, the integral of the function over any region of space which
  includes the point at which the argument of the delta function vanishes, is, in general, non-zero.
 

 

 

 

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