Whether the first letter of a university is capitalized or not should be treated differently. If a university is named after a proper noun such as a person's name, it does not need to be capitalized. Like Harvard University. If it is named after a place name, it must be capitalized. Peking University. If the name is given by a common noun, the first letter must be capitalized, and the following nouns can be capitalized or lowercase. Such as Lille University of Science and Technology.
Beijing Normal University: l'Université normale de Beijing (adjectives in proper nouns are usually lowercase unless at the beginning)
I should study hard. Gedova Beauchamp, the traveler.