Change of variables in spherical coordinates

This lecture covers the change of variables in spherical coordinates, focusing on the mapping from spherical to Cartesian coordinates, the invertibility of the mapping, and the calculation of the Jacobian. The instructor explains the process step by step, including the differentiation of the mapping, the calculation of the determinant, and the Laplacian operator. Through detailed derivations and explanations, the lecture demonstrates how to handle the complexity of the calculations involved in the change of variables in spherical coordinates.