It's the college calculus class that students majoring in business must take. It includes the same concepts as any calculus class, but it discusses them in the business setting; like how to interpret definite integrals as useful business data, or how to find the maximum value on a curve that represents profit.
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Actually, business students are more likely to take bothstatistics and calculus since students are more likely to do computation. Business jobs deal with the great uses of calculus, matrix algebra, statistics and programming.
Calculus; by a long shot.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
It is certainly used in calculus, just as calculus can be used in trigonometry.
Calculus is the correct spelling.