These two terms are frequently confused, but their meanings are highly different from each other. The most common use of "perspective" is to mean "point of view":
Pickett explained the problem of poverty from a socialist perspective.
"Prospective" means "expected or likely to happen":
The National Agricultural Statistics Service publishes data projecting the prospective plantings for crops each year in the United States.
The university requires prospective students to apply by February 1.