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Sample Topics

Single variable calculus is a branch of calculus that deals with functions of a single variable. The topics which are involved within single variable calculus are limits and continuity, applications of graphing, rates and approximations, differentiation and integration of functions in a single variable.

Multi variable itself defines its meaning that more than one variable. Multi variable is the extended form of calculus of single variable to more than one variable. It studies the function of more than one variable. It deals with so many topics such as Gradient, flux, vector field, surface integral Jacobian, Differential operator, Contour integral etc. There are lots of applications of multi variable calculus in day to day life, such as, in the stock market, in engineering, social science, to analyse deterministic systems etc.

The sub-subject “Vector calculus” is a branch of Mathematics that disturbed with differentiation and integration of vector fields, primarily in 3 – dimensional. Sometimes {\displaystyle \mathbb {R} ^{3}.}Sometimes vector calculus is used as an alternative of multivariable calculus, which includes partial differentiation and multiple integration along with calculus. Vector calculus plays a crucial part in differential geometry as well as study of partial differential equations.

Advanced calculus is the further advanced extension of calculus that deals with the functions of one variable together with the linear algebra. Main topics included in advanced calculus are vector spaces, Differential calculus, Reiman integration etc. Advanced calculus has its main applications in field like statistics majorly.

Voice of Experts

Chaitanya Pendam

IIT Kharagpur - Graduate

Usha Rani

M.Sc Mathematics

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