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Please share the syllabus of GATE Mechanical Engineering Exam.

What are the topics included in Engineering Mathematics, General Aptitude?

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  • strongSyllabus for GATE Mechanical Engineering/strongbr /General Aptitude- Study logical reasoning and English grammar topics.br /Technical Section- Revise technical coding and software topics.br /Engineering Mathematics- Practice college-level mathematics topics.

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

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