Syllabus for VITMEE (Instrumentation Engineering)
VIT University organizes Masters Entrance Exam (VITMEE) to select candidates in to M.Tech or MCA programs. Candidates who have completed B.E or B.Tech in related stream with at least 50% marks are eligible to apply for M.Tech programmes . The syllabus of VITMEE (Instrumentation Engineering) include subjects like - basics of circuits and measurement systems, control systems and process control, transducers, mechanical measurement and industrial instrumentation, signals, systems and communications and digital electronics.
Detailed Syllabus of VITMEE (Instrumentation Engineering)
Basics of Circuits and Measurement Systems
- Statistical analysis of data and curve fitting
- Static and dynamic characteristics of Measurement Systems
- One port and two-port Network Functions
- Mesh and nodal Analysis
- Kirchoff’s laws
- Error and uncertainty analysis
- Circuit theorems
Linear Algebra
- Systems of linear equations
- Matrix Algebra
- Eigen vectors
- Eigen values
Calculus
- Vector identities
- Theorems of integral calculus
- Stokes
- Partial Derivatives
- Multiple integrals
- Mean value theorems
- Maxima and minima
- Line, Surface and Volume integrals
- Gauss and Green’s theorems
- Fourier series
- Evaluation of definite and improper integrals
- Directional derivatives
Control Systems and Process Control
- Transient Response
- Time delay systems
- Synchro pair, servo and step motors
- Steady state- errors
- State space representation of systems
- Signal flow graphs
- Routh and Nyquist criteria
- Phase and gain margin
- On- off, cascade, P, P-I, P-I-D, feed forward and derivative controller
- Mechanical, hydraulic and pneumatic system components
- Fuzzy controllers
- Feedback principles
Differential equations
- Partial Differential Equations and variable separable method
- Method of variation of parameters
- Initial and boundary value problems
- Higher order linear differential equations with constant coefficients
- First order equation (linear and nonlinear)
- Cauchy’s and Euler’s equations
Complex variables
- Taylor’s and Laurent’ series
- Solution integrals
- Residue theorem
- Cauchy’s integral theorem and integral formula
- Analytic functions
Digital Electronics
- TTL
- Timers and mono-stable multi-vibrator
- Shift registers
- Sequential circuits
- Schmitt trigger
- S/H circuit
- Multiplexer
- MOS and CMOS
- Minimization of Boolean functions
- Microprocessor applications
- Microcontrollers
- Memory and input-output interfacing
- IC families
- Flip-flops
- Counters
- Comparators
- Combinational logic circuits
- Basics of number system
- Arithmetic circuits
- Analog-to-Digital and Digital to- Analog converters
Analytical, Optical and Biomedical Instrumentation
- X- Ray and nuclear radiation measurements
- UV, visible and IR spectrometry
- Ultrasonic transducers and Ultrasonography
- Principles of Computer Assisted Tomography
- Optical sources and detectors
- Mass spectrometry
- LED, laser, photo-diode, photo - resistor and their characteristics
- Interferometers, applications in metrology
- EEG, ECG and EMG
- Clinical measurements
- Biomedical instruments
- Basics of fiber optics
Numerical Methods
- Single and multi-step methods for differential equations
- Solutions of non-linear algebraic equations
Transform Theory
- Z-transform
- Laplace Transform
- Fourier transform
Transducers, Mechanical Measurement and Industrial Instrumentation
- Acceleration (translational and rotational) force
- Measurement of dis placement
- Measurement of pH, conductivity, viscosity and humidity
- Measurement of pressure, flow, temperature and liquid level
- Resistive Transducers
- Capacitive Transducers
- Inductive Transducers
- Piezoelectric transducers
- Torque
- Velocity
- Vibration and shock
Signals, Systems and Communications
- Transfer function and frequency response of first- and second order systems
- Sampling theorem, pulse code modulation
- Pulse transfer function
- Periodic and aperiodic signals
- Impulse response
- Impulse and frequency response
- IIR and FIR filters
- Frequency shift keying and pulse shift keying for digital modulation
- Frequency and time division multiplexing
- Discrete time system
- Convolution, correlation and characteristics of linear time invariant systems
- Amplitude shift keying
- Amplitude and frequency modulation and demodulation
VITMEE (Instrumentation Engineering) format will be a computer based test for a total of 100 marks. Candidates need to attempt a total of 110 questions in this entrance exam category.
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