Candidates can get Best Millmans Integrated Electronics Books 2018 also a Top List of Main Study Materials for 2017-2018 entrance exam in India.
Millman’s Integrated Electronics
by Jacob Millman and Christos Halkias
UNIT-I Applications of Differentiation :
Taylor’s & Maclaurin’s series, Expansion by use of known series, Expansion by forming a differential equation, Asymptotes, Curvature, Radius of Curvature for Cartesian, Parametric & polar curves, Centre of curvature & chord of curvature, Tracing of Cartesian & polar curves (standard curves).
UNIT – II Partial Differentiation & its Applications :
Functions of two or more variables Partial derivatives, Total differential and differentiability, Derivatives of composite and implicit functions, change of variables. Homogeneous functions, Euler’s theorem, Jacobian, Taylor’s & Maclaurin’s series for functions of two variables (without proof), Errors and approximations, Maxima-minima of functions of two variables, Lagrange’s method of undetermined multipliers, Differentiation under the integral sign.
UNIT – III Multiple Integrals and their Applications : Double integral, change of order of integration Double integral in polar coordinates, Applications of double integral to find area enclosed by plane curves and volume of solids of revolution. Triple integral, volume of solids, change of variables, Beta and gamma functions and relationship between them.
UNIT – IV Vector Calculus : Differentiation of vectors, scalar and vector point functions Gradient of a scalar field and directional derivative, divergence and curl of a vector field and their physical interpretations, Del applied twice to point functions, Del applied to product of point functions. Integration of vectors, line integral, surface integral, volume integral, Green’s, Stoke’s and Gauss divergence theorems (without proof), and their simple applications.