3 | | The tutorial is divived in six parts. The first three ones regard vector calculus in the 3-dimensional Euclidean space **E**^3^ in a given coordinate system (respectively Cartesian, spherical and cylindrical coordinates). The fourth part is devoted to changes between the above three coordinate systems. The fifth part presents some advanced aspects, namely the treatment of **E**^3^ as a Riemannian manifold. Finally, the last part is devoted to 2-dimensional vector calculus, using both Cartesian and polar coordinates in the Euclidean plane **E**^2^ , and combines various features of the first five parts. |

| 3 | The tutorial is divived in five parts. The first one regards |

| 4 | vector calculus in the 3-dimensional Euclidean space **E**^3^ in |

| 5 | Cartesian coordinates, focusing on the evaluation of the standard |

| 6 | vector operators. The second tutorial deals with the same topic |

| 7 | but based on curvilinear (spherical and cylindrical) coordinates. |

| 8 | The third tutorial is devoted to changes between the various coordinate systems. The fourth tutorial presents some advanced aspects, namely the treatment of **E**^3^ as a Riemannian manifold. Finally, the last tutorial is devoted to 2-dimensional vector calculus, using both Cartesian and polar coordinates in the |

| 9 | Euclidean plane **E**^2^ ; it combines various features of the other tutorials. |