Note for Engineering Mathematics 1 - EM1 By Saurabh Singh

Some basic functions

Standard limits, continuity of function

Rolle's and Mean-Value theorum and Taylor series

Improper integrals and its convergence, Gamma function, beta function

Euler's theorum , maxima and minima, Lagrange's theorum

change of order of integration, triple integrals, change of variables, polar form, length, areas and volumes

Scalar and vector triple pdt. , vector differentiation and its properties, gradientangle between surfaces, curl and divergence

work done by force, green's theorum, surface integral, volume integral,

Dirchlet's cond. ,Convergence, half range series,