The question of how much of human action is directed by free will and how much is determined by fate has fascinated people from the Greeks to the present. Think about this issue in historical terms, considenng the impact of the natural sciences on this debate or in philosophical terms, researching the ideas of Existentialist writers like Jean Paul Sartre and Albert Camus.

In many ways, Electra is a powerful woman and can be seen as someone driven toward a higher purpose by her profound inner strength. How do her actions fit into the Greek definition of hero? Is that definition different for a woman that it would be for a man? You might research classical mythology generally (reading Ovid's Metamorphosis, for example) or Homer's Odyssey. Or you could compare Electra with another of Sophocles's titular heroines, Antigone

The cycle of plays...