At the community college where I took calc, differentiation was covered the first quarter, integration the second, series & sequences, along with 3-d vectors, were covered in the third quarter, and multi-variable calc was covered in the fourth quarter. If you started Calc A in the summer you could be done with all of it by the next spring.
At my university (and I feel this is very common, at least if one is using Stewart), they cover differentiation and the basics of integration the first semester, more difficult concepts of integration and series & sequences the second semester, and everything 3-d+ related (as well as some basic differential equations) the final semester.
Most economics programs want their students to have all there semesters' worth of calc, altho, looking at Varian, I imagine all of the multi-variable stuff that econ uses could be picked up fairly quickly.
To
the OP: have you considered looking at some of the programs in the UK? They have a similar system to that of India, so they might be more sympathetic. And I know that a lot of Indians go to - or apply - to the London School of Economics. Not sure of their backgrounds, of course... (My Indian mother-in-law-to-be was pushing for me to apply to LSE, despite that fact that neither her son nor myself actually want to live in England.)