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{Mathematical Physics --- PHZ 3113}\\\vspace {2mm} 
Classwork 12 (April 3, 2013) \\ 
Jacobi Determinant
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In the following assignments you are requested to write down all 
elements of the Jacobi determinant first and NOT to short-cut to 
the final result (what would be legitimate when it is needed in 
some other calculations).
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\noindent 1. Calculate the Jacobi determinant for the
transformation from Cartesian to cylindrical coordinates.
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\noindent 2. Calculate the Jacobi determinant for the
transformation from Cartesian to spherical coordinates.

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