What are the cultural and technological developments in Central and South America and Mexico during 1000-1700 BC and AC including colonial days?

That is a generally accepted defenition. (yarow12) Although, Mexico is a part of Central America.

569 million, including the peoples of countries such as Mexico, Argentina, Chile, Brazil or Cuba, Haiti and Panama.

Latin America.

Right.

It is called Latin America, however it does not just include countries influenced by Spain, but also by Portugal (in the case of Brazil) as well as France (for example, at Haiti or the French Guyana).