In American universities, an EALC department is the department of East Asian studies. EALC is an abbreviation of "East Asian Languages and Civilizations" or "East Asian Languages and Cultures".
In terms of scope, the region is East Asia, however defined – roughly, the region of traditional Chinese cultural influence, and can be narrowly defined as China and Northeast Asia (China, Japan, and Korea), as at the University of Chicago, or more broadly to also include Vietnam, Mongolia, and smaller groups such as Manchuria and Uyghurs – hence shading into Southeast Asian studies and Central Asian studies – as at Harvard.
The department name, which features "Languages", is because of the central place that language learning plays in these studies – primary research and most secondary research in the region requires faculty in the language, but due to the foreignness of East Asian languages (compared with English), students frequently require 4 or 5 years of coursework in the language before they have sufficient faculty to pursue studies. In the Sinosphere specifically, the time required to learn Chinese characters further adds to the time required, and thus EALC is a rather demanding course of study for those who do not already speak one of the languages in question.
You've got a problem, I think you know
I'll tell you mine before you go
You've been thinking about somebody new
That's not the issue
Secrets, I have some too
I'll tell you mine before I say goodbye to you
I've been thinking 'bout leaving too
That's not the issue
I'm leaving, I'm leaving now
I'd say goodbye, but I don't know how
You've been sleeping with somebody new