User talk:Ecemadhubvrit

HI

EVERYBODY, THIS IS MADHU I HAD A SYLLABUS OF GATE

GATE 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, Volume and Surface Integrals Stokes, Green and Gauss’s Theorems

Differential Equations:-

First Order Equations (linear and non-linear) Higher Order Linear Differential Equations With Constant Coefficients Method of Variation Parameters Cauchy’s and Euler’s Equations Initial and Boundary Value Problems Partial Differential Equations Variable Separable Method

Complex Variables:-

Analytic Functions Cauchy’s Integral Formula and Theorem Taylor’s Series Laurent Series Residue Theorem Solution Integrals

Probability and Stastics:-

Sampling Theorems Conditional Probability Mean, Median, Mode and Standard Deviation Random Variables Discrete and Continuous Distributions Poisson, Normal, and Binomial Distributions Correlation and Regression Analysis

Numerical Methods:-

Solutions of Non-Linear Algebraic Equations Single and Multi-Step Methods for Differential Equations

Transform Theory:-

Fourier Transform La Place Transform Z-Transform

GATE ECE SYLLABUS:-

Networks:-

Network Graphs: Matrices Associated With Graphs Incidence, Fundamental Cut Set and Fundamental Circuit Matrices Solution Methods: Nodal and Mesh Analysis Network Theorems: Superposition Theorem Thevenin Theorem Norton’s Theorem Maximum Power Transfer Theorem Wye-Delta Transformation Steady State Sinusoidal Analysis using Phasors Linear Constant Coefficient Differential Equations Time Domain Analysis of Simple RLC Circuits Solution of Network Equations using La Place Transform: Frequency Domain Analysis of RLC Circuits Two Ports 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 Resistivity Generation and Recombination of Carriers PN Junction Diode Zener Diode Tunnel Diode BJT JFET MOS Capacitor MOSFET LED P-I-N and Avalanche Photo Diodes Basic of LASERs Device Technology: Integrated Circuits Fabrication Process Oxidation Diffusion Ion Implantation Photolithography n-Tub, p-Tub and Twin tub 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:- Single and Multi-Stage Differential Operational Feedback Power Filters Sinusoidal Oscillators Criteration for Oscillation Single Transistor and OP-AMP Configurations Function Generators Wave Shaping Circuits 555 Timers Power Supplies

Digital Circuits:-

Boolean Algebra Minimization of Boolean Functions Logic Gates Digital IC Families (DTL, TTL, ECL, MOS, CMOS) Combinational Circuits:- Arithmetic Circuits Code Convetors Multiplexers Decoders PROMs PLAs Sequential Circuits:- Latches Flip-Flops Counters Shift-Registers Sample and Hold Circuits ADCs DACs Semiconductor Memories

Microprocessor (8085):-

Architecture Programming Memory and I/O Interfacing

Signals and Systems:-

Definitions and Properties of La Place Transforms Continuous-time and Discrete-time Fourier Series Continuous-time and Discrete-time Fourier Transform DFT and FFT Z-Transform Sampling Theorem Linear Time-Invariant Systems Definitions and Properties Causality Stability Impulse Response Convolution Poles and Zeros Parallel and Cascade Structure Frequency Response Group Delay Phase Delay Single Transmission through LTI Systems

Control Systems:-

Basic Control System Components Block Diagrammatic Description Reduction of Block Diagrams Open Loop and Closed Loop 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 Analysis: Root loci Routh-Hurwitz Criteration Bode and Nyguist plots Control Systems Compensators:- Elements of lead and lag compensation Elements of Proportional-Integral-Derivative 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, Angle Modulation and Demodulation Systems Spectral Analysis of these operations Super hetro dyne Receivers Elements of hardware, Realizations of analog communication systems Signals to noise ratio (SNR) calculations for Amplitude and frequency modulations for low noise conditions Fundamentals of Information Theory and Channel Capacity theorem Digital Communication Systems:- Pulse Code Modulation Differential Pulse Code Modulation Digital Modulation Schemes:- Amplitude, Phase and Frequency Shift keying schemes Matched Filter Receivers Bandwidth consideration and probability of error calculations for these schemes Basics of TDMA, FDMA, CDMA and GSM

Electromagnetic:-

Elements of Vector Calculus:- Divergence and Curl Gauss and Stoke’s 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 Cut-Off Frequencies Dispersion Relations Basics of propagation in dielectric waveguide and optical fibres Basics of Antenas:- Dipole Antenas Radiation Pattern Antena Gain