Manav means man. In the Hindu religion, Manu is the one who saved the mankind from the great flood and all human beings are from his race. (similar to Noah of the Bible).
I think "man" in Manav and Manu is the Indo-Aryan man, mann. Mansi means woman or literally "man like"/"man jaisi". Link
The name Vikrant was taken from Sanskrit vikranta = "stepped beyond", i.e. "courageous", "victorious". Link
Sarasvati is the goddess of knowledge and arts. The subtitle had only "knowledge".
Mansi's father called Manav's aunt "cuRail" that is subtitled as bitch. It actually means witch, or a dracula like female that scares and kills people at night and at lonely places. Bitch is more abusive then witch.