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
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 non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform,Laplace transform, Z-transform.
Basics of Circuits and Measurement Systems:Kirchoff’s laws, mesh and nodal Analysis. Circuit theorems. One-port and two-port Network Functions. Static and dynamic characteristics of Measurement Systems. Error and uncertainty analysis. Statistical analysis of data and curve fitting.
Transducers, Mechanical Measurement and Industrial Instrumentation: Resistive, Capacitive, Inductive and piezoelectric transducers and their signal conditioning. Measurement of displacement, velocity and acceleration (translational and rotational), force, torque, vibration and shock. Measurement of pressure, flow, temperature and liquid level.Measurement of pH, conductivity, viscosity and humidity.
Analog Electronics: Characteristics of diode, BJT, JFET and MOSFET. Diode circuits. Transistors at low and high frequencies, Amplifiers, single and multi-stage. Feedback amplifiers.Operational amplifiers, characteristics and circuit configurations. Instrumentation amplifier. Precision rectifier. V-to-I and I-to-V converter. Op-Amp based active filters. Oscillators and signal generators.
Digital Electronics: Combinational logic circuits, minimization of Boolean functions. IC families, TTL, MOS and CMOS. Arithmetic circuits. Comparators, Schmitt trigger, timers and mono-stable multi-vibrator. Sequential circuits, flip-flops, counters, shift registers. Multiplexer, S/H circuit.Analog-to-Digital and Digital-to-Analog converters. Basics of number system.Microprocessor applications, memory and input-output interfacing. Microcontrollers.
Signals, Systems and Communications: Periodic and aperiodic signals. Impulse response, transfer function and frequency response of first- and second order systems. Convolution, correlation and characteristics of linear time invariant systems. Discrete time system, impulse and frequency response. Pulse transfer function. IIR and FIR filters. Amplitude and frequency modulation and demodulation. Sampling theorem, pulse code modulation. Frequency and time division multiplexing. Amplitude shift keying, frequency shift keying and pulse shift keying for digital modulation.
Electrical and Electronic Measurements: Bridges and potentiometers, measurement of R,L
and C. Measurements of voltage, current, power, power factor and energy. A.C & D.C current
probes. Extension of instrument ranges. Q-meter and waveform analyzer. Digital voltmeter and
multi-meter. Time, phase and frequency measurements. Cathode ray oscilloscope. Serial and
parallel communication. Shielding and grounding.
Control Systems and Process Control: Feedback principles. Signal flow graphs. Transient Response, steady-state-errors. Routh and Nyquist criteria. Bode plot, root loci. Time delay systems. Phase and gain margin. State space representation of systems. Mechanical, hydraulic and pneumatic system components. Synchro pair, servo and step motors. On-off, cascade, P, P-I, P-I-D, feed forward and derivative controller, Fuzzy controllers. Analytical, Optical and Biomedical Instrumentation: Mass spectrometry. UV, visible and IR spectrometry. X-ray and nuclear radiation measurements. Optical sources and detectors, LED, laser, Photo-diode, photo-resistor and their characteristics. Interferometers, applications in
metrology. Basics of fiber optics. Biomedical instruments, EEG, ECG and EMG. Clinical measurements. Ultrasonic transducers and Ultrasonography. Principles of Computer Assisted Tomography.
Graduate Aptitude Test in Engineering (GATE)
GATE 2015: Graduate Aptitude Test in Engineering
GATE 2015 Registration Date Extended
Who are eligible to write GATE Computer Based Test (CBT)?
GATE Examination Pattern, Types of Questions and Marking Scheme
GATE Examination Cities
Negative Marking in GATE 2015
GATE 2015 Syllabus: General Aptitude (GA)
GATE 2015 Syllabus: Life Sciences (XL)
GATE 2015 Syllabus: Agricultural Engineering (AG)
GATE 2015 Syllabus: Architecture and Planning (AR)
GATE 2015 Syllabus: Engineering Sciences (XE)
GATE 2015 Syllabus: Aerospace Engineering (AE)
GATE 2015 Syllabus: Textile Engineering and Fibre Science (TF)
GATE 2015 Syllabus: Production and Industrial Engineering (PI)
GATE 2015 Syllabus: Physics (PH)
GATE 2015 Syllabus: Metallurgical Engineering (MT)
GATE 2015 Syllabus: Mining Engineering (MN)
GATE 2015 Syllabus: Mechanical Engineering (ME)
GATE 2015 Syllabus: Mathematics (MA)
GATE 2015 Syllabus: Instrumentation Engineering (IN)
GATE 2015 Syllabus: Geology and Geophysics (GG)
GATE 2015 Syllabus: Ecology and Evolution (EY)
GATE 2015 Syllabus: Electrical Engineering (EE)
GATE 2015 Syllabus: Electronics and Communication Engineering (EC)
GATE 2015 Syllabus: Chemistry (CY)
GATE 2015 Syllabus: Computer Science and Information Technology (CS)
GATE 2015 Syllabus: Chemical Engineering (CH)
GATE 2015 Syllabus: Civil Engineering (CE)
GATE 2015 Syllabus: Biotechnology (BT)
Notification: Power your career with OPGC through GATE 2015
GATE 2015: Indian Oil Engineers Recruitment 2015
BPCL Engineers Recruitment as Management Trainee
Powergrid Recruitment: Executive Trainees Electrical - 20th Batch