Syllabus of GATE Instrumentation Engineering(IN)

Instrumentation Engineering (IN)

Engineering 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, 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, 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.

Instrumentation Engineering

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 multivibrator.

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.