Syllabus for Gate
In this blog, we have provided a syllabus for gate 2021. You can study power plant engineering, thermodynamics and english ,etc from our previous blogs it will help you to get concepts required to crack GATE 2021.
Section 1: Engineering Mathematics (GATE 2021)
Linear Algebra:
Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.
Calculus:
Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate
forms; evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total
derivative, Taylor series (in one and two variables), maxima and minima, Fourier series; gradient, divergence and
curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes
and Green’s theorems.
Differential equations:
First order equations (linear and nonlinear); higher order linear differential equations with
constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions
of heat, wave and Laplace’s equations.
Complex variables:
Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and integral
formula; Taylor and Laurent series.
Probability and Statistics: Definitions of probability, sampling theorems, conditional probability; mean, median,
mode and standard deviation; random variables, binomial, Poisson, and normal distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations; integration by trapezoidal
and Simpson’s rules; single and multi-step methods for differential equations.
Section 2: Applied Mechanics and Design (GATE 2021)
Engineering Mechanics:
Free-body diagrams and equilibrium; friction and its applications including rolling
friction, belt-pulley, brakes, clutches, screw jack, wedge, vehicles, etc.; trusses and frames; virtual work;
kinematics and dynamics of rigid bodies in plane motion; impulse and momentum (linear and angular) and
energy formulations; Lagrange’s equation.
Mechanics of Materials:
Stress and strain, elastic constants, Poisson’s ratio; Mohr’s circle for plane stress and
plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear stresses; concept of
shear centre; deflection of beams; torsion of circular shafts; Euler’s theory of columns; energy methods; thermal
stresses; strain gauges and rosettes; testing of materials with universal testing machine; testing of hardness and
impact strength.
Theory of Machines:
Displacement, velocity and acceleration analysis of plane mechanisms; dynamic analysis of
linkages; cams; gears and gear trains; flywheels and governors; balancing of reciprocating and rotating masses;
gyroscope.
Vibrations:
Free and forced vibration of single degree of freedom systems, effect of damping; vibration isolation;
resonance; critical speeds of shafts.
Machine Design:
Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram;
principles of the design of machine elements such as bolted, riveted and welded joints; shafts, gears, rolling and
sliding contact bearings, brakes and clutches, springs.
Section 3: Fluid Mechanics and Thermal Sciences (GATE 2021)
Fluid Mechanics:
Fluid properties; fluid statics, forces on submerged bodies, stability of floating bodies; controlvolume analysis of mass, momentum and energy; fluid acceleration; differential equations of continuity and
momentum; Bernoulli’s equation; dimensional analysis; viscous flow of incompressible fluids, boundary layer,
elementary turbulent flow, flow through pipes, head losses in pipes, bends and fittings; basics of compressible
fluid flow.
Heat-Transfer:
Modes of heat transfer; one dimensional heat conduction, resistance concept and electrical
analogy, heat transfer through fins; unsteady heat conduction, lumped parameter system, Heisler’s charts; thermal
boundary layer, dimensionless parameters in free and forced convective heat transfer, heat transfer correlations
for flow over flat plates and through pipes, effect of turbulence; heat exchanger performance, LMTD and NTU
methods; radiative heat transfer, Stefan- Boltzmann law, Wien’s displacement law, black and grey surfaces, view
factors, radiation network analysis.
Thermodynamics:
Thermodynamic systems and processes; properties of pure substances, behavior of ideal and
real gases; zeroth and first laws of thermodynamics, calculation of work and heat in various processes; second
law of thermodynamics; thermodynamic property charts and tables, availability and irreversibility;
thermodynamic relations.
Applications: Power Engineering: Air and gas compressors; vapour and gas power cycles, concepts of
regeneration and reheat. I.C. Engines: Air-standard Otto, Diesel and dual cycles. Refrigeration and airconditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air, psychrometric chart,
basic psychrometric processes. Turbomachinery: Impulse and reaction principles, velocity diagrams, Peltonwheel, Francis and Kaplan turbines; steam and gas turbines.
Section 4: Materials, Manufacturing and Industrial Engineering (GATE 2021)
Engineering Materials:
Structure and properties of engineering materials, phase diagrams, heat treatment, stressstrain diagrams for engineering materials.
Casting, Forming and Joining Processes:
Different types of castings, design of patterns, moulds and cores;
solidification and cooling; riser and gating design. Plastic deformation and yield criteria; fundamentals of hot and
cold working processes; load estimation for bulk (forging, rolling, extrusion, drawing) and sheet (shearing, deep
drawing, bending) metal forming processes; principles of powder metallurgy. Principles of welding, brazing,
soldering and adhesive bonding.
Machining and Machine Tool Operations:
Mechanics of machining; basic machine tools; single and multi-point
cutting tools, tool geometry and materials, tool life and wear; economics of machining; principles of nontraditional machining processes; principles of work holding, jigs and fixtures; abrasive machining processes;
NC/CNC machines and CNC programming.
Metrology and Inspection:
Limits, fits and tolerances; linear and angular measurements; comparators;
interferometry; form and finish measurement; alignment and testing methods; tolerance analysis in
manufacturing and assembly; concepts of coordinate-measuring machine (CMM).
Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their integration tools; additive
manufacturing.
Production Planning and Control:
Forecasting models, aggregate production planning, scheduling, materials
requirement planning; lean manufacturing.
Inventory Control:
Deterministic models; safety stock inventory control systems.
Operations Research:
Linear programming, simplex method, transportation, assignment, network flow models,
simple queuing models, PERT and CPM.
