Social Media shouldn't be a major in University because of its constant changing nature. Do you agree?

I'm inclined to agree, social media can be included as part of the curriculum on mass communications, journalism and business communications.  It doesn't need to be studied as a separate phenomena.  Too often the business of education convinces students that every new thing should have it's own courses and degree.  Who needs a Bachelor of Arts (Twitter)?

My two cents as a journalism student: As far as technology is concerned, students are generally a step ahead of professors, and academic curriculum often struggles to keep pace with rapidly changing trends. This would especially be true for something like social media. I think that social media strategy, SEO etc. should definitely be taught as courses within a university, as part of a broader degree in communications, advertising, marketing, and so on. However, I don't really see the need for it to be taught as a major, at least not yet. 

Then again we can argue that anything that changes shouldn't be taught in university. That means Science, economics, politics, law, etc etc Nothing is time proof except the basics of everything. And moreover the professors/experts will always change the material to keep up with the changing trends.

don't you think the professors know that and they won't change the course contents according to latest trends and demands.