where were they located?
The civilization encompassed areas of south-eastern Mexico, all of Guatemala and Belize, and the western portions of Honduras and El Salvador.
Maya civilization
The Maya civilization developed in an area that encompasses southeastern Mexico, all of Guatemala and Belize, and the western portions of Honduras and El Salvador. This region consists of the northern lowlands encompassing the Yucatán Peninsula, and the highlands of the Sierra Madre, running from the Mexican state of Chiapas, across southern Guatemala and onwards into El Salvador, and the southern lowlands of the Pacific littoral plain. 
how far back can we trace the mayan culture As far as circa 2000 BC what period of history is that? The Archaic period
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Maya civilization [SEP] Introduction
Classic period rule was centred on the concept of the "divine king", who acted as a mediator between mortals and the supernatural realm. Kingship was patrilineal, and power would normally pass to the eldest son. A prospective king was also expected to be a successful war leader. Maya politics was dominated by a closed system of patronage, although the exact political make-up of a kingdom varied from city-state to city-state. By the Late Classic, the aristocracy had greatly increased, resulting in the corresponding reduction in the exclusive power of the divine king. The Maya civilization developed highly sophisticated artforms, and the Maya created art using both perishable and non-perishable materials, including wood, jade, obsidian, ceramics, sculpted stone monuments, stucco, and finely painted murals.