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GATE Online Preparation - 2019

We fill the gap between Aspiration & Reality of GATE

GATE 2019 Syllabus for Instrumentation Engineering

Engineering Mathematics


Linear Algebra
  • Matrix algebra

  • Systems of linear equations

  • Eigen values and Eigen vectors

Ordinary Differential Equation ( ODE )
  • First order ( linear and non – linear ) equations

  • higher order linear equations with constant coefficients

  • Euler – Cauchy equations

  • Laplace transform and its application in solving linear ODEs

  • Initial and boundary value problems.

Analysis of complex variables
  • Analytic functions

  • Cauchy's integral theorem and integral formula

  • Taylor's and Laurent's series

  • residue theorem

  • solution of integrals.

Calculus
  • Functions of single variable

  • Limit, continuity and differentiability

  • Mean value theorems

  • local maxima and minima

  • Taylor and Maclaurin series

  • Evaluation of definite and indefinite integrals

  • application of definite integral to obtain area and volume

  • Partial derivatives

  • Total derivative

  • Gradient

  • Divergence and Curl, Vector identities

  • Directional derivatives

  • Line, Surface and Volume integrals

  • Stokes

  • Gauss and Green's theorems.

Probability and Statistics
  • Sampling theorem

  • conditional probability

  • mean

  • median

  • mode and standard deviation

  • random variable

  • 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

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.

  • Kirchoff'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 power

  • phasor analysis

  • impedance and admittance

  • series and parallel resonance

  • locus diagrams

  • 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.

Signals and Systems


  • Periodic, aperiodic and impulse signals

  • Laplace

  • Fourier and z – transforms

  • transfer function

  • frequency response of first and second order linear time invariant systems

  • impulse response of systems

  • Convolution

  • correlation.

  • Discrete time system

  • impulse response

  • frequency response

  • pulse transfer function

  • DFT and FFT

  • basics of IIR and FIR filters.

Control Systems


  • Feedback principles

  • signal flow graph

  • transient response

  • steady – state – errors

  • Bode plot

  • phase and gain margin

  • 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.

Analog Electronics


  • Characteristics and applications of 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.

Digital Electronics


  • Combinational logic circuits

  • minimization of Boolean functions

  • IC families

  • TTL and CMOS

  • Arithmetic circuits

  • Comparators

  • Schmitt trigger

  • multi – vibrators

  • sequential circuits

  • flipflop

  • shift registers

  • timers and counter

  • 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.

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 circuit

  • 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.

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.

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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