# GATE Instrumentation Engineering IN Syllabus 2019 Download GATE IN Full Syllabus

## GATE Instrumentation Engineering IN Syllabus 2019 WWW.RAHBARS.COM

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### Section 1: Engineering Mathematics

Linear Algebra

Matrix algebra

Systems of linear equations

Eigenvalues and Eigenvectors

Calculus

Mean value theorems

Theorems of integral calculus

Partial derivatives

Maxima and Minima

Multiple integrals

Fourier series

Vector identities

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

Solution of partial differential equations: variable separable method

Analysis of complex variables

Analytic functions

Cauchy’s integral theorem and integral formula

Taylor’s and Laurent’s series

Residue theorem

Solution of integrals

Probability and Statistics

Sampling theorems

Conditional probability

Mean, Median, mode and Standard deviation

Random variables

Discrete and continuous distributions

Normal

Poisson and binomial distributions

Numerical Methods

Matrix inversion

Solutions of non-linear algebraic equations

Iterative methods for solving differential equations

Numerical integration

Regression and correlation analysis

## GATE Instrumentation Engineering IN Syllabus 2019

### Section 2: Electrical Circuits

Voltage and current sources: independent, dependent, ideal and practical

v-i relationships of resistor, inductor, mutual inductor, and capacitor

Transient analysis of RLC circuits with dc excitation

Kirchhoff’s laws, mesh and nodal analysis, superposition, Thevenin, Norton, maximum power transfer and reciprocity theorems

Peak-average- and RMS values of ac quantities

Apparent-Active- and reactive powers

Series and parallel resonance, locus diagrams, the realization of basic filters with R, L and C elements

One-port and two-port networks, driving point impedance and admittance, open-, and short circuit parameters

## GATE Instrumentation Engineering IN Syllabus 2019

### Section 3: Signals and Systems

Periodic, aperiodic and impulse signals

Laplace, Fourier, and z-transforms

Transfer function, the frequency response of first and second order linear time-invariant systems, an impulse response of systems

Convolution and Correlation

Discrete time system: impulse response, frequency response, pulse transfer function

DFT and FFT

Basics of IIR and FIR filters

## GATE Instrumentation Engineering IN Syllabus 2019

### Section 4: Control Systems

Feedback principles, signal flow graphs, transient response, steady-state-errors, Bode plot, phase and gain margins, Routh and Nyquist criteria, root loci, design of lead, lag and lead-lag compensators, state-space representation of systems

Time-delay systems

Mechanical, hydraulic and pneumatic system components, synchro pair, servo and stepper motors, servo valves

On-off, P, P-I, P-I-D, cascade, feedforward, and ratio controllers

### Section 5: Analog Electronics

Characteristics and applications of the diode, Zener diode, BJT, and MOSFET

Small signal analysis of transistor circuits, feedback amplifiers

Characteristics of operational amplifiers

applications of opamps: difference amplifier, adder, subtractor, integrator, differentiator, instrumentation amplifier, precision rectifier, active filters and other circuits

Oscillators, signal generators, voltage controlled oscillators and phase locked loop

## GATE Instrumentation Engineering IN Syllabus 2019

### Section 6: Digital Electronics

Combinational logic circuits, minimization of Boolean functions

IC families: TTL and CMOS

Arithmetic circuits, comparators, Schmitt trigger, multi-vibrators, sequential circuits, flipflops, shift registers, timers and counters

Sample-and-hold circuit, multiplexer, analog-to-digital (successive approximation, integrating, flash and sigma-delta) and digital-to-analog converters (weighted R, R-2R ladder, and current steering logic).

Characteristics of ADC and DAC (resolution, quantization, significant bits, conversion/settling time)

Basics of number systems, 8-bit microprocessor and microcontroller: applications, memory, and input-output interfacing

Basics of data acquisition systems

### Section 7: Measurements

SI units, systematic and random errors in measurement, expression of uncertainty – accuracy and precision index, propagation of errors

PMMC, MI and dynamometer type instruments

DC potentiometer

Bridges for measurement of R, L and C, Q-meter

Measurement of voltage, current and power in single and three phase circuits

AC and DC current probes

true RMS meters, voltage, and current scaling, instrument transformers, timer/counter, time, phase and frequency measurements, digital voltmeter, digital multimeter

Oscilloscope, shielding, and grounding

## GATE Instrumentation Engineering IN Syllabus 2019

### Section 8: Sensors and Industrial Instrumentation

Resistive-, capacitive-, inductive-, piezoelectric-Hall effect sensors and associated signal conditioning circuits

Transducers for industrial instrumentation: displacement (linear and angular), velocity, acceleration, force, torque, vibration, shock, pressure (including low pressure), flow (differential pressure, variable area, electromagnetic, ultrasonic, turbine and open channel flow meters) temperature (thermocouple, bolometer, RTD (3/4 wire), thermistor, pyrometer and semiconductor)

Liquid level, pH, conductivity and viscosity measurement

## GATE Instrumentation Engineering IN Syllabus 2019

### Section 9: Communication and Optical Instrumentation

Amplitude- and frequency modulation and demodulation

Shannon’s sampling theorem, pulse code modulation

frequency and time division multiplexing, amplitude-, phase-, frequency-, pulse shift keying for digital modulation

Optical sources and detectors: LED, laser, photo-diode, light dependent resistor and their characteristics

Interferometer: applications in metrology

Basics of fiber optic sensing

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