1) In what ways did Christianity represent a departure from the ideals and practices of ancient Greece and Rome? 

Christianity presents a very different perspective than the ideals and practices of ancient Greece and Rome.  Christianity changed civilization, and ultimately put an end to multiple corrupted aspects of the culture.

Christians value the virtue of humility.  Prior to Christianity, the Greeks and Romans did not value humility, in fact, they resented it.  Ancient Greeks and Romans did not view humility as a virtue. When humility was practiced, the practitioner was perceived by classic cultures as a weak individual.  Christians changed this perspective, and practiced humility as a virtue.  After the impact of the Christians, humility was perceived as a strength, not a weakness.

Christians also changed the ancient ideas of charitable work.  Prior to Christianity, charity was only done with the idea that the person would return the favor.  Ancient Greeks and Romans would participate in acts of charity only to achieve fame; or something in return.  Christians, however, practiced charity as a routine part of their daily life.  They developed systematic charitable institutions for orphans, homeless people, and widows.  They never expected anything in return, it was never an inconvenience for them, and it was just part of their lives.  Christian people also influenced the removal of the corrupted system of gladiatorial contests from Roman culture.  These are just a few of the examples of  how Christianity departed from the classic cultures.
2) Discuss the relationship between Rome and the Visigoths. 

In the 4th century, Rome encountered invasion attempts from multiple different Germanic tribes who wanted to be a part of Roman culture.  One of those Germanic tribes, were the Visigoths.  The emperor Valens, of the eastern region of Rome allows the Visigoths to enter the empire in 376.  However, the Visigoths rebel, Valens takes up arms against them, unfortunately, he is defeated at Adrianople in 378.

In 395, the leader of the Visigoths and his troops attack and pillage Italy, this requires Roman legions to abandon Britain, and return to defend their own land.  Britain then falls to the other barbaric Germanic tribes.  In 410, the Visigoths enter the actual city of Rome, they stay there for 3 days, then go on to take over Gaul, then Spain, and remain there until they are invaded by Muslims.

The Roman relationship with the Visigoths was very tense.  They were a barbaric tribe that pillaged Roman society.  They respected the Romans and they wanted to absorb the culture, however, they went about that in the wrong way.