One Stop GATE Forum: Gate Syllabus of INSTRUMENTATION ENGINEERING

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   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

                                    

                                    Measurement Basics and Metrology: Static and
                                    dynamic characteristics of measurement
                                    systems. Standards and calibration. Error
                                    and uncertainty analysis, statistical
                                    analysis of data, and curve fitting. Linear
                                    and angular measurements; Measurement of
                                    straightness, flatness, roundness and
                                    roughness.

                                    

                                    Transducers, Mechanical Measurements and
                                    Industrial Instrumentation: Transducers -
                                    elastic, resistive, inductive, capacitive,
                                    thermo-electric, piezoelectric,
                                    photoelectric, electro-mechanical,
                                    electro-chemical, and ultrasonic.
                                    Measurement of displacement, velocity
                                    (linear and rotational), acceleration,
                                    shock, vibration, force, torque, power,
                                    strain, stress, pressure, flow, temperature,
                                    humidity, viscosity, and density. energy
                                    storing elements, suspension systems and
                                    dampers.

                                    

                                    Analog Electronics: Characteristics of
                                    diodes, BJTs, JFETs and MOSFETs; Diode
                                    circuits; Amplifiers: single and
                                    multi-stage, feedback; Frequency response;
                                    Operational amplifiers - design,
                                    characteristic, linear and non-linear
                                    applications: difference amplifiers;
                                    instrumentation amplifiers; precision
                                    rectifiers, I-to-V converters, active
                                    filters, oscillators, comparators, signal
                                    generators, wave shaping circuits.

                                    

                                    Digital Electronics: Combinational logic
                                    circuits, minimization of Boolean functions;
                                    IC families (TTL, MOS, CMOS), arithmetic
                                    circuits, multiplexer and decoders.
                                    Sequential circuits: flip-flops, counters,
                                    shift registers. Schmitt trigger, timers,
                                    and multivibrators. Analog switches,
multiplexers, S/H circuits.
                                    Analog-to-digital and digital-to-analog
                                    converters. Basics of computer organization
                                    and architecture. 8-bit microprocessor
                                    (8085), applications, memory, I/O
                                    interfacing, and microcontrollers.

                                    

                                    Signals and Systems: Vectors and matrices;
                                    Fourier series; Fourier transforms; Ordinary
                                    differential equations. Impulse and
                                    frequency responses of first and second
                                    order systems. Laplace transform and
                                    transfer function, convolution and
                                    correlation. Amplitude and frequency
                                    modulations and demodulations. Discrete time
                                    systems, difference equations, impulse and
                                    frequency responses; Z-transforms and
                                    transfer functions; IIR and FIR filters.

                                    

                                    Electrical and Electronic Measurements:
                                    Measurement of R, L and C; bridges and
                                    potentiometers. Measurement of voltage,
                                    current, power, power factor, and energy;
                                    Instrument transformers; Q meter, waveform
                                    analyzers. Digital volt-meters and
                                    multi-meters. Time, phase and frequency
                                    measurements; Oscilloscope. Noise and
                                    interference in instrumentation.

                                    

                                    Control Systems & Process Control:
                                    Principles of feedback; transfer function,
                                    signal flow graphs. Stability criteria, Bode
                                    plots, root-loci, Routh and Nyquist
                                    criteria. Compensation techniques; State
                                    space analysis. System components:
                                    mechanical, hydraulic, pneumatic, electrical
                                    and electronic; Servos and synchros; Stepper
                                    motors. On-off, cascade, P, PI, PID and
                                    feed-forward controls. Controller tuning and
                                    general frequency response.

                                    

                                    Analytical, Optical and Biomedical
                                    Instrumentation: Principles of spectrometry,
                                    UV, visible, IR mass spectrometry, X-ray
                                    methods; nuclear radiation measurements,
                                    gas, solid and semi conductor lasers and
                                    their characteristics, interferometers,
                                    basics of fibre optics, transducers in
                                    biomedical applications, cardiovascular
                                    system measurements, instrumentation for
                                    clinical laboratory.

Author	Message
annu Newbie Joined: 03Apr2007 Online Status: Offline Posts: 19	Topic: Gate Syllabus of INSTRUMENTATION ENGINEERING Posted: 03Apr2007 at 10:52pm
	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 Measurement Basics and Metrology: Static and dynamic characteristics of measurement systems. Standards and calibration. Error and uncertainty analysis, statistical analysis of data, and curve fitting. Linear and angular measurements; Measurement of straightness, flatness, roundness and roughness. Transducers, Mechanical Measurements and Industrial Instrumentation: Transducers - elastic, resistive, inductive, capacitive, thermo-electric, piezoelectric, photoelectric, electro-mechanical, electro-chemical, and ultrasonic. Measurement of displacement, velocity (linear and rotational), acceleration, shock, vibration, force, torque, power, strain, stress, pressure, flow, temperature, humidity, viscosity, and density. energy storing elements, suspension systems and dampers. Analog Electronics: Characteristics of diodes, BJTs, JFETs and MOSFETs; Diode circuits; Amplifiers: single and multi-stage, feedback; Frequency response; Operational amplifiers - design, characteristic, linear and non-linear applications: difference amplifiers; instrumentation amplifiers; precision rectifiers, I-to-V converters, active filters, oscillators, comparators, signal generators, wave shaping circuits. Digital Electronics: Combinational logic circuits, minimization of Boolean functions; IC families (TTL, MOS, CMOS), arithmetic circuits, multiplexer and decoders. Sequential circuits: flip-flops, counters, shift registers. Schmitt trigger, timers, and multivibrators. Analog switches, multiplexers, S/H circuits. Analog-to-digital and digital-to-analog converters. Basics of computer organization and architecture. 8-bit microprocessor (8085), applications, memory, I/O interfacing, and microcontrollers. Signals and Systems: Vectors and matrices; Fourier series; Fourier transforms; Ordinary differential equations. Impulse and frequency responses of first and second order systems. Laplace transform and transfer function, convolution and correlation. Amplitude and frequency modulations and demodulations. Discrete time systems, difference equations, impulse and frequency responses; Z-transforms and transfer functions; IIR and FIR filters. Electrical and Electronic Measurements: Measurement of R, L and C; bridges and potentiometers. Measurement of voltage, current, power, power factor, and energy; Instrument transformers; Q meter, waveform analyzers. Digital volt-meters and multi-meters. Time, phase and frequency measurements; Oscilloscope. Noise and interference in instrumentation. Control Systems & Process Control: Principles of feedback; transfer function, signal flow graphs. Stability criteria, Bode plots, root-loci, Routh and Nyquist criteria. Compensation techniques; State space analysis. System components: mechanical, hydraulic, pneumatic, electrical and electronic; Servos and synchros; Stepper motors. On-off, cascade, P, PI, PID and feed-forward controls. Controller tuning and general frequency response. Analytical, Optical and Biomedical Instrumentation: Principles of spectrometry, UV, visible, IR mass spectrometry, X-ray methods; nuclear radiation measurements, gas, solid and semi conductor lasers and their characteristics, interferometers, basics of fibre optics, transducers in biomedical applications, cardiovascular system measurements, instrumentation for clinical laboratory. Post Resume: Click here to Upload your Resume & Apply for Jobs

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