Here is the complete syllabus as Mentioned in the official site.

Instrumentation Engineering

Section 1: Engineering Mathematics

Linear Algebra: Matrix algebra, systems of linear equations, Eigen values and Eigen 

vectors.

Calculus: Mean value theorems, theorems of integral calculus, partial derivatives, maxima 

and minima, multiple integrals, Fourier series, vector identities, 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, solution of partial 

differential equations: variable separable method.

Analysis of complex variables: Analytic functions, Cauchy’s integral theorem and integral 

formula, Taylor’s and Laurent’s series, residue theorem, solution of integrals.

Probability and Statistics: Sampling theorems, conditional probability, mean, median, 

mode and standard deviation, random variables, discrete and continuous distributions: 

normal, Poisson and binomial distributions.

Numerical Methods: Matrix inversion, solutions of non-linear algebraic equations, iterative 

methods for solving differential equations, numerical integration, regression and 

correlation analysis.

Instrumentation Engineering

Section 2: Electrical Circuits: 

Voltage and current sources: independent, dependent, ideal and practical; v-i 

relationships of resistor, inductor, mutual inductor and capacitor; transient analysis of RLC 

circuits with dc excitation. 

Kirchoff’s laws, mesh and nodal analysis, superposition, Thevenin, Norton, maximum power 

transfer and reciprocity theorems. 

Peak-, average- and rms values of ac quantities; apparent-, active- and reactive powers; 

phasor analysis, impedance and admittance; series and parallel resonance, locus 

diagrams, realization of basic filters with R, L and C elements. 

One-port and two-port networks, driving point impedance and admittance, open-, and 

short circuit parameters.

Section 3: Signals and Systems 

Periodic, aperiodic and impulse signals; Laplace, Fourier and z-transforms; transfer 

function, frequency response of first and second order linear time invariant systems, 

impulse response of systems; convolution, correlation. Discrete time system: impulse 

response, frequency response, pulse transfer function; DFT and FFT; basics of IIR and FIR 

filters.Section 4: Control Systems

Feedback principles, signal flow graphs, transient response, steady-state-errors, Bode 

plot, phase and gain margins, Routh and Nyquist criteria, root loci, design of lead, lag and 

lead-lag compensators, state-space representation of systems; time-delay systems; 

mechanical, hydraulic and pneumatic system components, synchro pair, servo and 

stepper motors, servo valves; on-off, P, P-I, P-I-D, cascade, feedforward, and ratio 

controllers.

Section 5: Analog Electronics 

Characteristics and applications of diode, Zener diode, BJT and MOSFET; small signal 

analysis of transistor circuits, feedback amplifiers. Characteristics of operational amplifiers; 

applications of opamps: difference amplifier, adder, subtractor, integrator, differentiator, 

instrumentation amplifier, precision rectifier, active filters and other circuits. Oscillators, 

signal generators, voltage controlled oscillators and phase locked loop.

Section 6: Digital Electronics 

Combinational logic circuits, minimization of Boolean functions. IC families: TTL and CMOS. 

Arithmetic circuits, comparators, Schmitt trigger, multi-vibrators, sequential circuits, flip-

flops, shift registers, timers and counters; sample-and-hold circuit, multiplexer, analog-to-

digital (successive approximation, integrating, flash and sigma-delta) and digital-to-

analog converters (weighted R, R-2R ladder and current steering logic). Characteristics of 

ADC and DAC (resolution, quantization, significant bits, conversion/settling time); basics of 

number systems, 8-bit microprocessor and microcontroller: applications, memory and 

input-output interfacing; basics of data acquisition systems. 

Section 7: Measurements 

SI units, systematic and random errors in measurement, expression of uncertainty -

accuracy and precision index, propagation of errors. PMMC, MI and dynamometer type 

instruments; dc potentiometer; bridges for measurement of R, L and C, Q-meter. 

Measurement of voltage, current and power in single and three phase circuits; ac and dc 

current probes; true rms meters, voltage and current scaling, instrument transformers, 

timer/counter, time, phase and frequency measurements, digital voltmeter, digital 

multimeter; oscilloscope, shielding and grounding.

Section 8: Sensors and Industrial Instrumentation 

Resistive-, capacitive-, inductive-, piezoelectric-, Hall effect sensors and associated signal 

conditioning circuits; transducers for industrial instrumentation: displacement (linear and 

angular), velocity, acceleration, force, torque, vibration, shock, pressure (including low 

pressure), flow (differential pressure, variable area, electromagnetic, ultrasonic, turbine 

and open channel flow meters) temperature (thermocouple, bolometer, RTD (3/4 wire), 

thermistor

Hello,

Here is the link to detailed syllabus for instrumentaion engineering for GATE 

https://engineering.careers360.com/articles/gate-syllabus-for-instrumentation-engineering

I would suggest you to go through with the given below link to check the sections and topics that need to be studied to prepare for Instrumentation Engineering programme. 

https://engineering.careers360.com/articles/gate-syllabus-for-instrumentation-engineering

Good Luck!