The word "precursor" means "preceding requirement". This means that before a student is able to take courses in Calculus, it is required that the passed all the requirements for his Algebra. Calculus is a course which involves the study on derivatives and integrals.
Answer:
Tragic hero’s- Faces downfall and Evokes pity
Sage- Teaches the hero and offers guidance
Rebel- rejects social norms and lives by own moral code.