Terran

The terrans are a young technology species with psionic potential. The terrans of the Koprulu Sector descend from the survivors of a 23rd century colonization mission from Earth. Compared to the protoss and zerg, the terrans are highly factionalized and endure frequent wars amongst themselves in addition to the more recent conflicts with their alien neighbors.

The term terran generally refers to the humans descending from the survivors of the "Long Sleep" and consequently to the human inhabitants of the Koprulu Sector. The term may be used synonymously with human and terrans of the Sector may extend its meaning to encompass those not descending from the "Long Sleep".

Humans of the Earth-based United Earth Directorate refer to themselves with as humans, mankind or humanity.

The terrans are physically similar to humans of the twenty-first century, but are slowly evolving into a psionically potent race although they are still generations from reaching their full potential. The genetic basis was brought from Earth during the "Long Sleep". At present, only a small number possess psionic powers.

While technologically more advanced than their twenty-first century counterparts many technologies remain familiar rather than exotic. For example, bullets, rockets, and missiles remain prominent in the terran arsenal, while energy comes from mined fuels and nuclear sources

History
For more on history refer to the starcraft wikia

terran history