In need of some advice!

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I am doing Mechanical Engineering (2nd year) and it's already becoming clear that I am no more interested in this course.I am very much motivated to study Theoretical Physics and Pure Mathematics(I believe this is the best thing a human can do!) but my country's education system (India) doesn't allow me to switch from engineering to any other courses(at least in my University). Can I quit engineering,go home,spend two years studying and then apply to a Grad School? If that is not the best strategy,I have no problems continuing engineering! Thank You.

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I don't know about the educational system in India, but North American graduate schools would be very unlikely to give much consideration to someone who dropped out of university to study at home. I would suggest that you complete your engineering degree while taking as many physics and mathematics courses as possible within that degree program. Also, try to get in contact with someone at one of the grad schools you are interested in, to get more specific advice.