A Textbook Of Engineering Mathematics M.T.U Sem 1

A branch of mathematics concerned chiefly with the study of the rate of change of functions with respect to their variables especially through the use of derivatives and differentials

A branch of mathematics concerned chiefly with the study of the rate of change of functions with respect to their variables especially through the use of derivatives and differentials

Multiple integral is a natural extension of a definite integral to a function of two variables (double
integral) or three variables (triple integral) or more variables. Double and triple integrals are
useful in finding area, volume, mass, centroid and moments of inertia of plane and solid regions.

Scalar function f(x, y, z) is a function defined at each point in a certain domain D in space. Its
value is real and depends only on the point P(x, y, z) in space but not on any particular coordinate
system being used.

A matrix is defined as a rectangular array (or arrangement in rows or columns) of scalars
subject to certain rules of operations.

Examination Papers