Course Curriculum Overview:
There wasn't really any. It was mostly the friendliness of the profs that pulled me into maths. Do note that in IISc, the first three semesters are common and you pick majors after that.
The maths curriculum prepares you for a future in either industry or academia. Moreover, one can take courses in other departments to help their industry pursuits.
Only way would be to make some courses more interactive, but this hasn't been a problem for me personally.
Most high level courses have two exams. Sometimes not even that. And exams generally aren't difficult for someone who has kept up with the course.
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