Analysis of GATE Syllabus (by IISc)

Transcription

1 Civil Engineering CE ENGINEERING MATHEMATICS 1. Differential Equations : Solutions of one dimentional heat and wave equations and Laplace equation 2. Complex Variables: Analytic functions, Cauchy s integral theorem, Taylor and Laurent Series. (Complete Topic Removed) 1. Calculus: Taylor and Maclaurin series, Application of definite integral to obtain area and volume 2. Probability and Statistics: Exponential distributions, Hypothesis testing. 3. Numerical Methods: Accuracy and precision, Error analysis, Least square approximation, Newton s and Lagrange Polynomials, Numerical differentiation. SOLID MECHANICS 1. Thin walled pressure vessels. 1. Theories of failures CONCRETE STRUCTURES 1. Ultimate Load Design concepts STEEL STRUCTURES 1. Working Stress and Limit State design concepts GEOTECHNICAL ENGINEERING 1. All shallow foundation methods except Terzhaghi s and Meyerhoff s 1. Soil Mechanics: Soil Structure and fabric 2. Foundation Engineering: Combined footing and Raft foundation, Contact Pressure, Pile Load Test. ENGINEERING HYDROLOGY 1. Flood routing, Surface run-off models, Application of Darcy s Law IRRIGATION ENGINEERING 1. Waterways, Sodic soils 1. Canal Regulatory Works, Cross-drainage structures, outlets and escapes. 1

2 TRANSPORTATION ENGINEERING 1. All methods of signal design except Webster s method 1. Transportation Infrastructure: Highway Alignment and Engineering Surveys, Geometric Design of Railway Track, Airport Runway Length, Taxiway and Exit Taxiway Design GEOMATICS ENGINEERING 1. Plane Table Surveying 1. Total Station, Photogrammetry - scale, flying height, Remote Sensing - basics, platform and sensors, visual image interpretation, Basics of GIS and GPS. NEW SUBJECTS INTRODUCED 1. Engineering Mechanics 1. System of forces, free-body diagrams, equilibrium equations; Internal forces in structures; Friction and its applications; Kinematics of point mass and rigid body; Centre of mass; Euler s equations of motion; Impulsemomentum; Energy methods; Principles of virtual work. 2. Construction, Materials and Management 2. Construction Materials: Structural steel-composition, material properties and behaviour; Concreteconstituents, mix design, short-term and long-term properties; Bricks and mortar; Timber; Bitumen. Construction Management: Types of construction projects; Tendering and construction contracts; Rate analysis and standard specifications; Cost estimation; Project planning and network analysis - PERT and CPM. 2

3 Mechanical Engineering ME MATHEMATICS 1. Double and Triple Integrals 2. Taylor Series (in one and two variables) 3. Fourier Series 4. Cauchy- Riemann Equations ENGINEERING MECHANICS 1. Impact 1. Collisions Mechanics of Materials 2. Strain-Stress Relationship 1. Poisson s Ratio 2. Strain Gauges and Rosettes 3. Testing of Materials with Universal Testing Machine 4. Testing of Hardness and Impact Strength THEORY OF MACHINES 1. CAMS 2. Governors 3. Balancing of Reciprocating and Rotating Mass 4. Gyroscope MACHINE DESIGN 1. Springs HEAT AND MASS TRANSFER 1. Heisliers Charts 2. View Factors 3. Radiation Network Analysis THERMODYNAMICS 1. Carnot Cycle 1. Thermodynamics Property Chart and Tables 2. Thermodynamics Relations 3. Air and Gas Compressor ENGINEERING MATERIALS 1. Phase Diagram 3

4 Electronics and Communication Engg. EC MATHEMATICS 1. Complex variables : Solution Integrals 1. Linear algebra: Vector space, basis linear dependance, independence 2. Transform Theory 2. Numerical Methods : Convergence Criteria 3. Sampling Theorems 3. Combinatorial Probability ANALOG ELECTRONICS 1. Analog CMOS 1. Voltage reference circuits. DIGITAL ELECTRONICS 2. Power Supplies : Ripple removal and regulation 1. Logic Families (Digital IC Families) 1. CMOS implementation of Logic Gates 2. PROMs 2. Finite State Machines CONTROL SYSTEMS 1. Elements of P.I.D. Controller Reduction of Block diagrams NETWORK THEORY 1. Graph Theory Linear Constant Coefficient Differential Equations SIGNALS & SYTESMS 1. Signal Transmission through LTI Systems 1. Digital Filter Design Techiques ELECTRONIC DEVICES & CIRCUITS 1. Tunnel Diode 1. Poisson & Continuity Equations 2. JFET 2. Solar Cell 3. PIN and Avalanche Photodiode 4. Basics of LASERs 4

5 COMMUNICATIONS 1. Probability, Random Variables, Probability density function 2. SNR Calculations for AM and FM for low noice conditions 1. Properties of White Noise 2. Filtering of Random Signals through LTI Systems 3. Basics of GSM 3. QAM, MAP and LTI Decoding ELECTROMAGNETICS 4. Fundamentals of Error Correction, Hamming codes 5. Timing and Frequency Synchronization 6. Inter Symbol Interference and Its Mitigation 1. Elements of Vector Calculus 1. Antenna (Types, Return Loss) 2. Pulse Excitation (Transmission Lines) 2. Antenna arrays 3. Basics of Propagation in Dielectric Waveguide 3. Basics of RADAR 5

6 Electrical Engineering EE ELECTRIC CIRCUITS 1. Nothing 1. Power and Power Factor in AC Circuits ELECTROMAGNETIC FIELDS 1. Nothing 1. Coulumb s Law, Electric Field Intensity, Electric Flux Density, Divergence, Curl, Faraday s Law, Larenty Force, Magnetomotive Force, Reluctance, Magnetic Circuit, Self and Mutual Inductance of Simple Configuration SIGNALS AND SYSTEMS 1. Fourier, Laplace and Z-transforms 1. Application of Fourier, Laplace and Z-transforms ELECTRICAL MACHINES 1. DC Machine: Armature Reaction and Commutation 1. No Change 2. Three Phase Induction Machine 2. No Load and Blocked Rotor Tests, Equipvalent Circuit 3. Synchronous Machine 3. Cylindrical and Salient Pole Machine, Type of Losses and Efficiency Calculation of Electric Machnines 4. Servo and Stepper Motors POWER SYSTEMS 1. Corona and Interference 1. Series and Shunt Compensation 2. Economic Operation 2. Electric Field Distribution and Insulator 3. Solid State Relays and Digital Protection 3. Frequency Control 4. HVDC Transmission and FACT Concepts CONTROL SYSTEMS 1. Controllability and Observability 1. Mathematical Modelling and Representation of Systems, Signal Flow Graph, Transient and Steady State Analysis of LTI System, P, PI and PID Controllers 6

7 ELECTRICAL AND ELECTRONIC MEASUREMENTS 1. PMMC, Moving Iron, Dynamometer and Induction Type Instruments, Q-meters, Potentiometric Recorders ANALOG AND DIGITAL ELECTRONICS Simple Diode Circuits, Clipping, Clamping, Rectifiers POWER ELECTRONICS AND DRIVES 1. AC Regulators, Thyristor Controlled Reactors, Switched Capacitor Networks, Switched Mode Power Supplies 1. Bidirectional AC to DC Voltage Source Converters, Issues of Line Current Harmonics, Power Factor, Distortion Factor of AC to DC Converters 7

8 Computer Science & IT CS SOFTWARE ENGINEERING & WEB TECH. All Topics Removed COMPUTER NETWORKS 1. Token Ring 1. Basic of Wifi 2. IPv6 3. Digitial Certificates in N/W Security MATHEMATICS 1. Numerical Methods 2. Linear Algebra 1. LU Decomposition 3. Calculus: Total and Partial Derivatives ALGORITHM 1. Complexity Classes: P, NP, NP Hard, NP Complete COMPILER DESIGN 1. Target Code Generation 2. Basics of Code Optimization OPERATING SYSTEMS 1. I/O Systems 2. Protection and Security 8

9 Instrumentation Engineering IN MATHEMATICS 1. Transform Theory: Fourier Transform, Laplace Transform, Z-transform 1. Numerical Methods: Matrix Inversion ELECTRICAL CIRCUITS SIGNAL AND SYSTEMS 1. Peak, Average and RMS Values of AC Quantities, 2. Apparent, Active and Reactive Powers 3. Phasor Analysis, Locus Diagrams 4. Series and Parallel Resonance 5. Realization of Basic Filters with R, L, and C Elements MEASUREMENTS 1. DFT and FFT OPTICAL INSTRUMENTATION 1. SI Units, Instrument Transformers 1. Analytical and Biomedical Instrumentation 9