I see people use both in their job titles. Which one is correct?
closed as primarily opinion-based by Jan Doggen, keshlam, gnat, DJClayworth, Masked Man May 26 '16 at 16:04
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Both. Nobody cares.
So long as you're not massively misrepresenting what you did, the only point at which anyone is ever going to care about exactly what your job title was is if they are attempting to verify your work history, and even then they're not going to care about "engineer" vs "engineering". If you're still worrying about this, use whatever is listed on your contract.
I don't know if there's a 'correct' as it could simply come down to preference, but I would choose the one that highlighted the engineer job title over the intern job title.
Do you want to be a software engineer who interned somewhere or a intern who did software engineering?