JIVA

Jiva, or jivatman, is the soul living in ignorance of its divine nature.  Philosophically speaking, it is the Atman identified with its coverings--body, mind, senses, etc.  Ignorant of its divinity, the Atman experiences birth and death, pleasure and pain. 

A related term is jivanmukti which is the Atman's attainment of moksha, or liberation, while living in a body.  At this point it is known as a jivanmukta.