GATE RA Conquest Book
Compiled and Signed @ 2026JUL22IST © CC BY-NC-ND 4.0
Conquer GATE RA 2027 by mastering total 0 concepts of this book
available through website, downloadable PDF, or scannable QR code link.
The knowledge of all things is possible.
Leonardo da Vinci
Part A: Common Section
Engineering Mathematics: Linear Algebra: matrices, transpose, determinant, rank, eigenvalues
and eigenvectors, trace, adjoint, solutions to system of linear equations; Calculus: functions of a single
variable, limit, continuity, differentiability, mean value theorems, indeterminate forms, definite and im-
proper integrals, double and triple integrals, partial derivatives, Taylor series, maxima and minima, gra-
dient, divergence and curl, vector identities; Differential Equations: first-order equations, higher-order
linear ODEs with constant coefficients, Euler-Cauchy equation, initial and boundary value problems,
Laplace transforms, heat/wave/Laplace equations, Fourier series; Probability and Statistics: axioms,
conditional probability, mean, median, mode, standard deviation, random variables, expectation, bino-
mial, Poisson, normal distributions, hypothesis testing, PDF, CDF; Numerical Methods: solutions of
linear and non-linear algebraic equations, trapezoidal and Simpson’s rules, finite differences, single and
multi-step methods for ODEs.
Basics of Mechatronics: Network Elements: KCL, KVL, node and mesh analysis, Thevenin’s,
Norton’s, superposition, maximum power transfer, transient response, AC analysis, resonance, two-port
networks, three-phase circuits; Digital Circuits: Boolean algebra, combinational and sequential circuits;
Sensors: resistive, capacitive, inductive, piezoelectric, Hall effect, signal conditioning, transducers; Actua-
tors: hydraulic, pneumatic, DC motors, stepper motors, servo motors; Engineering Mechanics: free-body
diagrams, equilibrium, friction, trusses and frames, kinematics and dynamics of rigid bodies; Program-
ming: Python — data types, operators, conditional statements, looping, functions, arrays, dictionary,
strings, recursion; Data Structures: stack, queue, linked list, binary search tree, binary heap, graph.
Principles of Robotics and Automation: Robotic classification: serial and parallel manipulators,
links and joints, coordinate systems, degrees-of-freedom, rotation matrices, homogeneous transforma-
tions, forward kinematics, robot applications, end-effectors, accuracy and repeatability; Manufacturing
automation: CIM, PLCs, automated material handling, storage and retrieval, identification and detec-
tion systems, CNC, positioning systems, concurrent design and manufacturing planning.
Part B1: Electrical Engineering
Analog Circuits and Embedded Systems: Analog filters, amplifiers, operational amplifiers,
oscillators, VCOs and timers, Schmitt triggers, sample and hold, A/D and D/A converters, SMPS; Mi-
croprocessors and microcontrollers: CPU, memory, I/O ports, timers, interrupt handling, interfacing,
data acquisition.
Signals and Systems: Signal representation, shifting and scaling, LTI and causal systems, Fourier
series, Shannon’s sampling theorem, Fourier, Laplace and Z transforms.
Control Systems: Mathematical modeling, feedback principle, transfer function, block diagrams,
signal flow graphs, transient and steady-state analysis, stability: Routh-Hurwitz, Nyquist, Bode plots,
root loci, compensators, P, PI and PID controllers.
Part B2: Mechanical Engineering
Mechanics of Materials: Stress and strain, elastic constants, Poisson’s ratio, Mohr’s circle, thin
cylinders, beams: shear force, bending moment, bending and shear stresses, shear centre, deflection,
torsion of shafts, Euler’s theory of columns, Castigliano’s theorems, thermal stresses, strain gauges, ma-
terial testing.
Kinematics and Dynamics: Displacement, velocity, acceleration analysis of plane mechanisms,
dynamic analysis of linkages, gears and gear trains, balancing of reciprocating and rotating masses, gy-
roscope, vibrations: free, forced, damping, isolation, resonance, critical speeds.
Machine Design and Computer Integrated Manufacturing: Design for static and dynamic
loading, failure theories, fatigue strength and S-N diagram, machine elements: bolted, riveted, welded
joints, shafts, bearings, brakes, clutches, springs, CAD/CAM and integration tools, additive manufac-
10 PYQs
10.1 Sample Paper
10.2 GATE DA 2024
10.3 GATE DA 2025
10.4 GATE DA 2026
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