## GATE Syllabus 2020 for ME

__Syllabus for General Aptitude (GA):__

**Verbal Ability:**English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.**Numerical Ability:**Numerical computation, numerical estimation, numerical reasoning and data interpretation.

**Engineering Mathematics:****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 Greenâ€™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; Cauchyâ€™s integral theorem and
integral formula; Taylor and Laurent series.**Numerical Methods:** Numerical solutions of linear and non-linear algebraic equations; integration by
trapezoidal and Simpsonâ€™s rules; single and multi-step methods for differential equations.**Probability and Statistics:** Definitions of probability, sampling theorems, conditional probability; mean,
median, mode and standard deviation; random variables, binomial, Poisson and normal distributions.**Applied Mechanics and Design:****Engineering Mechanics:** Free-body diagrams and equilibrium; trusses and frames; virtual work;
kinematics and dynamics of particles and of rigid bodies in plane motion; impulse and momentum
(linear and angular) and energy formulations, collisions.**Mechanics of Materials:** Stress and strain, elastic constants, Poisson’s ratio; Mohrâ€™s circle for plane stress
and plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear stresses;
deflection of beams; torsion of circular shafts; Eulerâ€™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.**Fluid Mechanics and Thermal Sciences****Fluid Mechanics:** Fluid properties; fluid statics, manometry, buoyancy, forces on submerged bodies,
stability of floating bodies; control-volume analysis of mass, momentum and energy; fluid acceleration;
differential equations of continuity and momentum; Bernoulliâ€™s equation; dimensional analysis; viscous
flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head
losses in pipes, bends and fittings.**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 air-
conditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air, psychrometric
chart, basic psychrometric processes. Turbo machinery: Impulse and reaction principles, velocity
diagrams, Pelton-wheel, Francis and Kaplan turbines.**Materials, Manufacturing and Industrial Engineering****Engineering Materials:** Structure and properties of engineering materials, phase diagrams, heat
treatment, stress-strain 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 non-traditional machining processes; principles of work holding, design of jigs and fixtures.**Metrology and Inspection:** Limits, fits and tolerances; linear and angular measurements; comparators;
gauge design; interferometry; form and finish measurement; alignment and testing methods; tolerance
analysis in manufacturing and assembly.**Computer Integrated Manufacturing:** Basic concepts of CAD/CAM and their integration tools.**Production Planning and Control:** Forecasting models, aggregate production planning, scheduling,
materials requirement planning.**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.