In the J-STD-001 training a lot of theoretical background is discussed about the production process and also practical hand soldering is a part of the training program (but only soldering!).
In the IPC-7711/7721 training, more attention is paid to practice (maintenance of the equipment), how can you desolder (remove) a component without damaging the component and / or the printed circuit board, how to solder components (different methods with different tools/equipment), how to create a modification (jumper wire) between two components, and last but not least if something is damaged…… how can you repair it?
