This department has just recently been established at the university.
This faculty is a recent addition to the university.
1) This department has just recently been established at the university.
「この学部は大学に最近新しく設立された。」
「学部」は department
2) This faculty is a recent addition to the university.
「この学部は最近大学に加えられた。」
「学部」は faculty とも言えます。
ご参考になれば幸いです!