Translation of "Colleges" in Chinese

Do colleges give homework too?

大学里也有家庭作业吗？

Peterhouse is the oldest of the 33 colleges of Cambridge.

剑桥的三十一个学院中，以彼得学院最为古老。

The private colleges and universities of the United States are autonomous.

美国的私立学院和私立大学是自给自足的。