Instrumentation Engineering Syllabus for GATE 2015 Examinations:
Engineering Mathematics Syllabus:
Matrix Algebra, systems of Linear Equations, Eigen Values and Eigen Vectors.
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, suface and volume integrals, Stokes, Gauss and Green’s theorems.
First order equation (linear and non-linear) higher order linear differential equations with constant coefficients , methods of variation of parameters, Cauchy’s and Euler’s equations, initial and boundary value problems, partial differential equation and variable separable method.
Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent’s series, Residue theorem, solution integrals.
Probability and Statistics:
Sampling theorems, conditional probability, mean , median and mode and standard deviation, random variable, discrete and continous distributions, poisson, normal and binomial distribution, correlation and regression analysis.
Numerical methods: solution 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 Indusrial Instrumentation:
Resistive, capacitive, inductive and piezoelectric transducers and their signals conditioning. Measurement of displacement, velocity and acceleration (Translation and Rotational) Force, Torque, vibration and shock. Measurement of pressure, flow, temperature and liquid level, measurement of pH, conductivity, viscosity and humidity.
Characteristics of diode, BJT, JFET and MOSFET. Diode circuits. Transistors at low and high frequencies, amplifiers, single and multi stage. Feedback amplifiers. Operational A1 mplifiers, 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.
Combinational Logic Circuits, Minimization of Boolean Functions, IC families, TTL, MOS and CMOS. Arithmetic circuits. Comparators, Schmitt triggers, Timers and Mono –stable Multi –vibrator. Sequential circuits Flip-flops, counters, shift registers, Multiplexer, S/H circuit. Analog –to- digital and digital to analogue converters. Basics of number system. Microprocessors Applications, Memory and Input-output interfacing. Micro controllers.
Signals, systems and communications:
Periodic and aperodic signals, impulse response, transfer function and frequency of first and second order systems. Convolution, correlations and characteristics of linear time variant 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, measurements of R. L and C. measurements of voltage, current, power power factory and energy. AC and DC current probes. Extension of instrument ranges. Q-meter and waveform analyzer. Digital voltmeter and multi-meter. Time and phase and frequency measurements. Cathode ray oscilloscope. Serial and parallel communications. 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 representations of systems. Mechanical, hydraulic and pneumatic system and 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.