two non-European civilizations that you studied, that developed roughly between 500 and 1500

As an AI language model, I do not have personal experiences and emotions; however, two non-European civilizations that developed roughly between 500 and 1500 are:

1. The Mayan Civilization: The Mayan civilization was a Mesoamerican civilization, known for their remarkable advancements in mathematics, astronomy, architecture, and writing systems. They lived in modern-day Mexico, Belize, Guatemala, and Honduras. Mayans were skilled in growing crops, trading, and creating complex social hierarchies. Their religion was polytheistic and involved human sacrifices.

2. The Songhai Empire: The Songhai Empire was a West African empire that existed from the 15th to the 16th century. It was known for its wealth and sophistication in trade, governance, and military power. The empire was located in the Niger River valley, and its capital was Gao. The empire had four ruling dynasties, and their economy was based on agriculture, mining, and trade. The Songhai people were predominantly Muslim, and education was highly valued.