The correct answer to this open question is the following.
Although you did not provide a reference to the sources of your notes, we can answer in general terms.
The two major civilizations that emerged in Africa, Asia, Europe, and the Americas after the collapse of ancient empires were the following.
Africa.
The Wagadu Ghana Empire and the Songhai Empire. These empires dominated the region of North Africa, Senegal, and Mauritania. There were known to be warriors and exploited raw materials through mining gold that traded with other regions.
Asia.
The Gupta Empire in India and the Persian Empire in the Middle East.
The Gupta Empire was part of the Golden Age of discoveries in India, a time in which artists, thinkers, and inventors developed great technologies and innovations in different fields.
Cyrus the Great founded the so feared Persian Empire that was known for its powerful army that conquest vast regions of the Middle East and North Africa.
Europe.
Athens and Sparta.
Athens was the place of great philosophers such as Socrates, Aristotle, and Plato. It was the center of democracy, a new form of government in which the people voted for their rulers.
Sparta was known for its formidable warriors. Children were trained since early years to be fierce warriors. The Spartans defeated Athens in the Penepolese Wars.
The Americas.
The Olmecs and Toltecs.
Historians consider that Toltecs and Olmecas were the oldest civilizations in Mesoamerica, before the Mayas and the Aztecs. Olmecs inhabited the territories of Veracruz and Tabasco, México. The Toltecs had in Tula, its capital city, modern-day the state of Hidalgo, México.
