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Re: GATE Made Easy Study Material Download
Made Easy is a coaching centre which prepares for various entrance examination to the students. GATE entrance examination is one of them, it entrance examination is being conducted for admission in the M. tech program. Following is the curriculum of GATE: Made Easy Gate syllabus: 1) Electronics and Communication Engineering Networks: • Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. • Solution methods: nodal and mesh analysis. • Network theorems: superposition, the venin and Norton's maximum power transfer, WyeDelta transformation. • Steady state sinusoidal analysis using phasors. • Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency domain analysis of RLC circuits. • 2port network parameters: driving point and transfer functions. • State equations for networks. Electronic Devices: • Energy bands in silicon, intrinsic and extrinsic silicon. • Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. • Generation and recombination of carriers. • P n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, pIn and avalanche photo diode, Basics of LASERs. • Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, ntub, ptub and twintub CMOS process. Analog Circuits: • Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. • Simple diode circuits, clipping, clamping, rectifier. • Biasing and bias stability of transistor and FET amplifiers. • Amplifiers: singleand multistage, differential and operational, feedback, and power. • Frequency response of amplifiers. • Simple opamp circuits. • Filters. • Sinusoidal oscillators; criterion for oscillation; singletransistor and opamp configurations. • Function generators and waveshaping circuits, 555 Timers. • Power supplies. Digital circuits: • Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). • Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. • Sequential circuits: latches and flipflops, counters and shiftregisters. • Sample and hold circuits, ADCs, DACs. • Semiconductor memories. Microprocessor (8085): architecture, programming, memory and I/O interfacing. Signals and Systems: • Definitions and properties of Laplace transform continuoustime and discretetime Fourier series, continuoustime and discretetime Fourier Transform, DFT and FFT, z transform. • Sampling theorem. • Linear TimeInvariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. • Signal transmission through LTI systems. Control Systems: • Basic control system components; block diagrammatic description, reduction of block diagrams. • Open loop and closed loop (feedback) systems and stability analysis of these systems. • Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. • Tools and techniques for LTI control system analysis: root loci, RouthHurwitz criterion, Bode and Nyquist plots. • Control system compensators: elements of lead and lag compensation, elements of ProportionalIntegralDerivative (PID) control. • State variable representation and solution of state equation of LTI control systems. Communications: • Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. • Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, super heterodyne receivers; elements of hardware, realizations of analog communication systems; signaltonoise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. • Fundamentals of information theory and channel capacity theorem. • Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM. Electromagnetics: • Elements of vector calculus: divergence and curl; Gauss' and Stokes' theorems, Maxwell's equations: differential and integral forms. • Wave equation, Poynting vector. • Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. • Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. • Waveguides: modes in rectangular waveguides; boundary conditions; cutoff frequencies; dispersion relations. • Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain. 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 improper integrals, Partial Derivatives, Maxima and minima, multiple integrals, Fourier series. • Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: • First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method. Complex variables: • Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals. Probability and Statistics: • Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis. Numerical Methods: • Solutions of nonlinear algebraic equations, single and multistep methods for differential equations. Transform Theory: • Fourier transform, Laplace transform, Ztransform. 2) Electrical Engineering Electric Circuits and Fields: • Network graph, KCL, KVL, node and mesh analysis, transient response of dc and ac networks; sinusoidal steadystate analysis, resonance, basic filter concepts; ideal current and voltage sources. • The venin's, Norton's and Superposition and Maximum Power Transfer theorems, twoport networks, three phase circuits; Gauss Theorem, electric field and potential due to point, line, plane and spherical charge distributions; Ampere's and BiotSavart's laws; inductance; dielectrics; capacitance. Signals and Systems: • Representation of continuous and discretetime signals; shifting and scaling operations; linear, timeinvariant and causal systems. • Fourier series representation of continuous periodic signals; sampling theorem; Fourier, Laplace and Z transforms. Electrical Machines: • Single phase transformer  equivalent circuit, phasor diagram, tests, regulation and efficiency; three phase transformers  connections, parallel operation; autotransformer; energy conversion principles. • DC machines  types, windings, generator characteristics, armature reaction and commutation, starting and speed control of motors; three phase induction motors  principles, types, performance characteristics, starting and speed control; single phase induction motors; synchronous machines  performance, regulation and parallel operation of generators, motor starting, characteristics and applications; servo and stepper motors. Power Systems: • Basic power generation concepts; transmission line models and performance; cable performance, insulation; corona and radio interference; distribution systems; perunit quantities; bus impedance and admittance matrices; load flow; voltage control. • Power factor correction; economic operation; symmetrical components; fault analysis; principles of overcurrent, differential and distance protection; solid state relays and digital protection; circuit breakers; system stability concepts, swing curves and equal area criterion; HVDC transmission and FACTS concepts. Control Systems: • Principles of feedback; transfer function; block diagrams; steadystate errors; Routh and Niquist techniques; Bode plots; root loci; lag, lead and leadlag compensation; state space model; state transition matrix, controllability and observability. Electrical and Electronic Measurements: • Bridges and potentiometers; PMMC, moving iron, dynamometer and induction type instruments; measurement of voltage, current, power, energy and power factor; instrument transformers; digital voltmeters and multimeters; phase, time and frequency measurement; Qmeters; oscilloscopes; potentiometric recorders; error analysis. Analog and Digital Electronics: • Characteristics of diodes, BJT, FET; amplifiers  biasing, equivalent circuit and frequency response; oscillators and feedback amplifiers; operational amplifiers  characteristics and applications; simple active filters; VCOs and timers; combinational and sequential logic circuits; multiplexer; Schmitt trigger; multivibrators; sample and hold circuits; A/D and D/A converters; 8bit microprocessor basics, architecture, programming and interfacing. Power Electronics and Drives: • Semiconductor power diodes, transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs  static characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters  fully controlled and half controlled; principles of choppers and inverters; basis concepts of adjustable speed dc and ac drives. 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 improper integrals, Partial Derivatives, Maxima and minima, multiple integrals, Fourier series. • Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: • First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method. Complex variables: • Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals. Probability and Statistics: • Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis. Numerical Methods: • Solutions of nonlinear algebraic equations, single and multistep methods for differential equations. Transform Theory: • Fourier transform, Laplace transform, Ztransform. 3) Mechanical Engineering Applied Mechanics and Design Engineering Mechanics: • Free body diagrams and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion, including impulse and momentum (linear and angular) and energy formulations; impact. Strength of Materials: • Stress and strain, stressstrain relationship and elastic constants, Mohr's circle for plane stress and plane strain, thin cylinders; shear force and bending moment diagrams; bending and shear stresses; deflection of beams; torsion of circular shafts; Euler's theory of columns; strain energy methods; thermal stresses. Theory of Machines: • Displacement, velocity and acceleration analysis of plane mechanisms; dynamic analysis of slidercrank mechanism; gear trains; flywheels. Vibrations: • Free and forced vibration of single degree of freedom systems; effect of damping; vibration isolation; resonance, critical speeds of shafts. Design: • Design for static and dynamic loading; failure theories; fatigue strength and the SN diagram; principles of the design of machine elements such as bolted, riveted and welded joints, shafts, spur gears, rolling and sliding contact bearings, brakes and clutches. Fluid Mechanics and Thermal Sciences Fluid Mechanics: • Fluid properties; fluid statics, manometry, buoyancy; controlvolume analysis of mass, momentum and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli's equation; viscous flow of incompressible fluids; boundary layer; elementary turbulent flow; flow through pipes, head losses in pipes, bends etc. HeatTransfer: • Modes of heat transfer; one dimensional heat conduction, resistance concept, electrical analogy, unsteady heat conduction, fins; dimensionless parameters in free and forced convective heat transfer, various correlations for heat transfer in flow over flat plates and through pipes; thermal boundary layer; effect of turbulence; radiative heat transfer, black and grey surfaces, shape factors, network analysis; heat exchanger performance, LMTD and NTU methods. Thermodynamics: • Zeroth, First and Second laws of thermodynamics; thermodynamic system and processes; Carnot cycle. Irreversibility and availability; behavior of ideal and real gases, properties of pure substances, calculation of work and heat in ideal processes; analysis of thermodynamic cycles related to energy conversion. Applications: • Power Engineering: Steam Tables, Rankine, Brayton cycles with regeneration and reheat. I.C. Engines: airstandard Otto, Diesel cycles. Refrigeration and airconditioning: Vapour refrigeration cycle, heat pumps, gas refrigeration, Reverse Brayton cycle; moist air: psychrometric chart, basic psychrometric processes. Turbomachinery: Peltonwheel, Francis and Kaplan turbines  impulse and reaction principles, velocity diagrams. • Manufacturing and Industrial Engineering Engineering Materials • Structure and properties of engineering materials, heat treatment, stressstrain diagrams for engineering materials. Metal Casting: • Design of patterns, moulds and cores; solidification and cooling; riser and gating design, design considerations. Forming: • Plastic deformation and yield criteria; fundamentals of hot and cold working processes; load estimation for bulk (forging, rolling, extrusion, drawing) and sheet (shearing, deep drawing, bending) metal forming processes; principles of powder metallurgy. Joining: • Physics of welding, brazing and soldering; adhesive bonding; design considerations in welding. Machining and Machine Tool Operations: • Mechanics of machining, single and multipoint cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of nontraditional machining processes; principles of work holding, principles of design of jigs and fixtures. Metrology and Inspection: • Limits, fits and tolerances; linear and angular measurements; comparators; gauge design; interferometry; form and finish measurement; alignment and testing methods; tolerance analysis in manufacturing and assembly. Computer Integrated Manufacturing: • Basic concepts of CAD/CAM and their integration tools. Production Planning and Control: • Forecasting models, aggregate production planning, scheduling, materials requirement planning. Inventory Control: • Deterministic and probabilistic models; safety stock inventory control systems. Operations Research: • Linear programming, simplex and duplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM. Engineering Mathematics Linear Algebra: • Matrix algebra, Systems of linear equations, Eigen values and Eigen vectors. Calculus: • Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: • First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation. Complex variables: • Analytic functions, Cauchy's integral theorem, Taylor and Laurent series. Probability and Statistics: • Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions. Numerical Methods: • Numerical solutions of linear and nonlinear algebraic equations Integration by trapezoidal and Simpson's rule, single and multistep methods for differential equations. Complete syllabus is in the attachment, please click on it… Contact details: 44A/1, Kalu Sarai, Near Hauz Khas Metro Station, New Delhi110016 Contact No: 01145124612, 09958995830, 09810541651 Email: madeeasydelhi@gmail.com Last edited by Vinodt; February 17th, 2014 at 06:11 PM. 
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