Gate 2012 Instrumentation Engineering(IN) Syllabus
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 Measur ement 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.
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 Measur ement 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.
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