Module 1 : A Crash Course in Vectors
Lecture 2 : Coordinate Systems
 
   Recap
   In this lecture you have learnt the following
In addition to the cartesian coordinates, two other coordinate systems, viz., spherical polar coordinates and
  cylindrical coordinates were introduced. The relationship of the components of a vector in various coordinates was studied.
When we transform from one coordinate to another, length, area and volume elements also change. Jacobian
  provides the transformation of such elements in different coordinate systems.
While the unit vectors in cartesian coordinates are fixed, the unit vectors associated with the position of a moving
  particle changes as the particle moves, and are therefore, time dependent.
The differentiation of such time dependent unit vectors with respect to time was discussed.
Integration techniques to find out volumes of objects having different types of symmetry was studied.
 

 

 

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