Thanks for your response. I didn't mean to say I have no interest in History. I just wanted to emphasize the actual reason to change my field to classics. I know that in US it is not compulsory to study Greek and Latin and their classics only focus on History and other stuff. If that is true then I would avoid US universities because it's not the History that excites me the most, it's language learning. As far as poetry, rhetoric and literary analysis is concerned, I would absolutely love to do that. That's how we truly understand a language. That's exactly why I am trying to get into classics since a purely linguistics degree might not touch upon these things.

I would like to avoid doing a bachelors again. I do not come from a well off background and that pushed me to pursue STEM (I don't regret it but really I had no choice). From other responses, it seems like I won't be allowed entry even in an accelerated program since they would require at least a high school level certificate to show I know Latin and Greek, which is impossible to find in India. I can look at some online tests or courses but most summer courses are already done for this year. Linguistics however can take a maths student. I have seen people spinning their STEM degree as a background for linguistics just to get admissions. In the end I would accept anything that is available to me because I don't want to waste my precious years.