Engineering Entrance Exam

VITMEE 2018 Electronics and Communication Engineering Syllabus
ENGINEERING MATHEMATICS
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improperintegrals, Partial Derivatives, Maxima and minimal, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Greens theorems. Differential equations: First order equation (linear and nonlinear), Higher order linear differentialequations with constant coefficients, Method of variation of parameters, Cauchys and Eulers equations, Initial and boundar y Value problems, Partial Differ re ntial Equations and variable separable method. Complex variables: Analytic functions, Cauchys integral theorem and integral formula, Taylors andLaurent series, Residue theorem, solution integrals. Numerical Methods: Solutions of non-linear algebraic equations, single and multi-s tep methodsfo r differential equations. Transform Theory y: Fourier transform, Laplace transform, Z-transform. NETWORK graphs: Matrices associated with graphs; incidence, fundamental cut set and fundamentalcircuit matrices. Solution methods; nodal and mesh analysis. Network theorems; superposition, Thevenin and Nortans, maximum po wer transfe r, wye-delta transformation, steady state sinusoidal analysis using phasors, fourier series, linear constant coefficient differential and difference equations; time domain analysis of simple RLC circuits. Laplace and Z transforms: frequency domain analysis of RLC circuits, convolution, 2-port network parameters, driving point and transfer functions, state equation for networks. Analog Circuits: Characteristics and equivalent circuits (large and small signal) of diodes, BJT, JFETsand MOSFET simple diode circuits: clipping, clamping, rectifier, biasing and bias stability of transistor and FET amplifiers. Amplifiers: single and multi-s stage, differential, operational, feedback and power. Analysis of amplifiers; frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators: criterion for osci llation; single-transis tor and op-amp configurations. Function generators and waveshaping circuits, Power supplies.