Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria. Mean, median, mode and standard deviation; combinatorial probability, probability distribution functions — binomial, Poisson, exponential and normal; Joint and conditional probability; Correlation and regression analysis.
Delta transformation; Steady state sinusoidal analysis using phasors; Time domain analysis of simple linear circuits; Solution of network equations using Laplace transform; Frequency domain analysis of RLC circuits; Linear 2? Continuous-time signals: Fourier series and Fourier transform representations, sampling theorem and applications; Discrete-time signals: discrete-time Fourier transform DTFT , DFT, FFT, Z-transform, interpolation of discrete-time signals; LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay, digital filter design techniques.
Number systems; Combinatorial circuits: Boolean algebra, minimization of functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits, code converters, multiplexers, decoders and PLAs; Sequential circuits: latches and flip?
Basic control system components; Feedback principle; Transfer function; Block diagram representation; Signal flow graph; Transient and steady-state analysis of LTI systems; Frequency response; Routh-Hurwitz and Nyquist stability criteria; Bode and root-locus plots; Lag, lead and lag-lead compensation; State variable model and solution of state equation of LTI systems.
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GATE Syllabus for ECE Section Engineering Mathematics Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigen values and eigen vectors, rank, solution of linear equations — existence and uniqueness. Calculus: Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series.
Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria. I worked in IBM for 6 months in operations. Now, I am having a offer from another company as Soft Dev but they asking for 2yrs bond with original certificates and 2 lakh rs cheque. I am really worried what should i do??? Should I reject the offer and prepare for M. Tech or shall I join the company?? Please assist, I have to reply to the company by tommorow only.
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