Unfortunately UCSD will not accept you for any major in the Economics department without both differential and integral calculus completed. Business calculus is also not accepted as an equivalent for differential calculus.
See: http://admissions.ucsd.edu/transfers/prep-programs/transfer-major-preparation.html
It’s also worth noting that UCSD accepts very few transfers into the economics department who don’t have the Math 20C equivalent completed.
See your CCC’s TAG articulation for options, but management science won’t happen without those two classes.