All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
It is not permissible for a man to touch a non-Mahram woman’s hands or any other parts of her body. It is confirmed that the Prophet said: "If one of you were to be stabbed in the head with an iron needle, it would be better for him than touching a woman whom he is not permitted to touch." [At-Tabaraani and Al-Bayhaqi]
Therefore, we advise you to discuss the matter with the people in charge in the college and clarify to them the religious rulings about it. You should ask them to provide a female teacher to teach female girls. If this is achieved, then praise be to Allaah, otherwise if you are in real need of this training, like being in a case of necessity or close to it, then you may continue these studies, and if you can wear gloves and the like, then you are obliged to do so, as this is the least of two evils. Touching a non-Mahram man with a barrier in between is a lesser evil than direct touching even though both of them are evil.
Allaah Knows best.