This book on Engineering Mathematics - I covers the syllabus for the 1st Semester course of B.E / B.Tech programmes offered by various major universities and autonomous colleges. It covers the following topics Differential Calculus, Functions of Several Variables, Integral Calculus, Multiple Integrals and Differential Equations.

Partial differentiation – Homogeneous functions and Euler‘s theorem – Total derivative – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylor‘s series for functions of two variables – Maxima and minima of functions of two variables – Lagrange‘s method of undetermined multipliers.

Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – Triple integrals – Volume of solids – Change of variables in double and triple integrals.

Higher order linear differential equations with constant coefficients - Method of variation of parameters – Homogenous equation of Euler‘s and Legendre‘s type – System of simultaneous linear differential equations with constant coefficients - Method of undetermined coefficients.

Pages: 90

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