GATE Mechanical Engineering (ME) Syllabus
GATE ME tests engineering mathematics, applied mechanics and design, fluid mechanics and thermal sciences, materials, manufacturing and industrial engineering, plus the common general aptitude section.
14 subjects · 52 topics · 325 subtopics
General Aptitude
Verbal Aptitude
- English Grammar (Tenses, Articles, Prepositions, Conjunctions)
- Verb-Noun Agreement & Parts of Speech
- Vocabulary (Words, Idioms, Phrases in Context)
- Reading Comprehension
- Narrative Sequencing
Quantitative Aptitude
- Data Interpretation (Bar, Pie, Graphs, Tables)
- Ratios, Percentages, Powers, Exponents & Logarithms
- Permutations & Combinations
- Series
- Mensuration & Geometry
- Elementary Statistics & Probability
- Simple & Compound Interest
- Alligation & Mixture
- Partnership
- Time & Work
Analytical Aptitude
- Deduction & Induction
- Analogy
- Numerical Relations & Reasoning
Spatial Aptitude
- Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
- Paper Folding, Cutting & Patterns
- 2D & 3D Patterns
Engineering Mathematics
Linear Algebra
- Matrix Algebra & Operations
- Determinants & Inverses
- Rank of a Matrix
- Systems of Linear Equations
- Consistency of Linear Systems
- Gaussian Elimination
- Eigenvalues & Eigenvectors
- Characteristic Equation
- Diagonalization
- Cayley-Hamilton Theorem
Single Variable Calculus
- Functions of Single Variable
- Limits, Continuity & Differentiability
- Mean Value Theorems
- Indeterminate Forms & L'Hospital
- Taylor Series (Single Variable)
- Maxima & Minima
- Fourier Series
- Definite & Improper Integrals
- Applications of Integrals
Multivariable Calculus
- Partial & Total Derivatives
- Taylor Series (Two Variables)
- Maxima & Minima (Several Variables)
- Double & Triple Integrals
- Change of Order of Integration
- Jacobian & Change of Variables
- Applications of Multiple Integrals
Vector Calculus
- Gradient, Divergence & Curl
- Vector Identities
- Directional Derivatives
- Line, Surface & Volume Integrals
- Gauss Divergence Theorem
- Stokes' Theorem
- Green's Theorem
- Conservative Vector Fields
Differential Equations
- First-Order Equations
- Exact Differential Equations
- Higher-Order Linear ODEs
- Complementary Function & PI
- Euler-Cauchy Equation
- Initial & Boundary Value Problems
- Laplace Transforms & Applications
- Heat, Wave & Laplace Equations
Complex Variables
- Analytic Functions
- Cauchy-Riemann Equations
- Cauchy's Integral Theorem
- Taylor & Laurent Series
- Singularities & Residues
- Residue Theorem
Probability
- Axioms of Probability
- Conditional Probability
- Bayes' Theorem
- Random Variables
- PMF, PDF & CDF
- Expectation & Moments
- Correlation & Covariance
Statistics & Distributions
- Mean, Median, Mode & SD
- Sampling Theorems
- Binomial Distribution
- Poisson Distribution
- Normal Distribution
Numerical Methods
- Linear & Nonlinear Algebraic Equations
- Gauss, Jacobi & Gauss-Seidel
- Bisection Method
- Newton-Raphson Method
- Secant Method
- Fixed-Point Iteration
- Error Analysis
- Trapezoidal & Simpson's Rules
- Single & Multi-Step ODE Methods
- Euler & Runge-Kutta Methods
- Interpolation
Engineering Mechanics
Statics
- Free-Body Diagrams & Equilibrium
- Force Systems, Resultants & Couples
- Friction & Applications
- Rolling & Vehicle Friction
- Belt, Brake, Clutch & Screw Friction
- Trusses (Joints & Sections)
- Frames & Machines
- Virtual Work
Dynamics
- Kinematics of Rigid Bodies
- Instantaneous Center of Rotation
- Dynamics of Rigid Bodies
- Linear & Angular Impulse-Momentum
- Work-Energy Formulation
- Lagrange's Equation
Strength of Materials
Stress, Strain & Elastic Constants
- Stress & Strain
- Elastic Constants & Poisson's Ratio
- Relation Among Elastic Constants
- Thermal Stresses
- Mohr's Circle
- Thin Cylinders & Pressure Vessels
Beams & Columns
- Shear Force & Bending Moment
- Bending & Shear Stresses
- Shear Centre
- Deflection of Beams
- Torsion of Shafts
- Euler's Theory of Columns
- Energy Methods & Castigliano
Testing of Materials
- Strain Gauges & Rosettes
- Universal Testing Machine
- Hardness & Impact Tests
Theory of Machines & Vibrations
Mechanisms & Linkages
- Kinematic Pairs, Chains & DOF
- Four-Bar & Slider-Crank
- Velocity & Acceleration Analysis
- Dynamic Analysis of Linkages
Cams, Gears & Gear Trains
- Cams & Followers
- Gear Terminology & Law of Gearing
- Interference & Undercutting
- Simple, Compound & Epicyclic Trains
Balancing, Flywheels & Gyroscopes
- Flywheels & Governors
- Balancing of Rotating Masses
- Balancing of Reciprocating Masses
- Gyroscope & Gyroscopic Couple
Free Vibration
- SDOF Free Vibration
- Undamped Free Vibration
- Damped Free Vibration
- Logarithmic Decrement & Damping Ratio
Forced Vibration
- Harmonic Excitation Response
- Magnification & Transmissibility
- Vibration Isolation
- Resonance
- Critical Speeds of Shafts
Machine Design
Static & Dynamic Loading
- Theories of Failure
- Fatigue, S-N Diagram & Endurance
- Goodman, Soderberg & Gerber
- Stress Concentration
Machine Elements
- Bolted, Riveted & Welded Joints
- Shafts, Keys & Couplings
- Spur Gear Design
- Rolling & Sliding Bearings
- Brakes, Clutches & Springs
Fluid Mechanics
Fluid Properties & Statics
- Fluid Properties
- Pressure in Static Fluids
- Manometry
- Forces on Submerged Bodies
- Centre of Pressure
- Buoyancy & Stability
- Metacentric Height
Fluid Kinematics & Dynamics
- Streamlines, Pathlines & Streaklines
- Control Volume Analysis
- Local, Convective & Material Acceleration
- Continuity & Momentum Equations
- Euler & Bernoulli Equations
- Applications of Bernoulli
- Impulse-Momentum Principle
Dimensional Analysis & Similitude
- Buckingham Pi Theorem
- Dimensionless Numbers
- Model Testing
- Geometric, Kinematic & Dynamic Similarity
Viscous & Pipe Flow
- Viscous Incompressible Flow
- Laminar & Turbulent Flow
- Parallel Plate & Hagen-Poiseuille
- Boundary Layer Theory
- Boundary Layer Separation
- Turbulent Flow
- Darcy-Weisbach & Moody Diagram
- Major & Minor Losses
- Pipes in Series & Parallel
Compressible Flow
- Speed of Sound & Mach Number
- Isentropic Flow & Stagnation
- Normal Shock
- Nozzle & Choked Flow
Heat Transfer
Conduction
- Modes of Heat Transfer
- Thermal Conductivity & Resistance
- Electrical Analogy
- Overall Heat Transfer Coefficient
- Critical Radius of Insulation
- 1D Steady Conduction
- Composite Wall Conduction
- Heat Transfer Through Fins
- Lumped Parameter System
- Biot & Fourier Numbers
- Heisler Charts
Convection
- Forced & Free Convection
- Thermal Boundary Layer
- Dimensionless Parameters
- Flat Plate & Pipe Correlations
- Turbulence Effects
Radiation
- Stefan-Boltzmann & Wien's Laws
- Black & Grey Surfaces
- Kirchhoff's Law
- View Factors
- Radiation Exchange
- Radiation Network & Shields
Heat Exchangers
- Parallel, Counter & Cross Flow
- LMTD Method
- LMTD Correction Factor
- Effectiveness-NTU Method
- Fouling Factor
Thermodynamics
Laws & Properties
- Systems, Properties & Processes
- Pure Substances & Phase Change
- Ideal & Real Gas Behaviour
- Zeroth & First Laws
- Work & Heat in Processes
- Second Law Statements
- Carnot Cycle & Entropy
- Property Charts & Tables
- Availability, Exergy & Irreversibility
- Maxwell Relations
- Clapeyron Equation
Power Cycles
- Air & Gas Compressors
- Rankine, Reheat & Regenerative
- Brayton Cycle
- Regeneration, Reheat & Intercooling
- Combined Cycle
IC Engines
- Otto, Diesel & Dual Cycles
- Mean Effective Pressure & Efficiency
- SI & CI Engines
- Engine Performance Parameters
- Combustion & Knocking
Refrigeration & Air Conditioning
- Vapour Compression Cycle
- Vapour Absorption Cycle
- Gas & Heat Pump Cycles
- Coefficient of Performance
- Refrigerants & Properties
- Psychrometric Chart & Moist Air
- Psychrometric Processes
- Sensible Heating & Cooling
- Humidification & Dehumidification
- AC Load Estimation
Turbomachinery
Hydraulic Turbines & Pumps
- Impulse & Reaction Principles
- Velocity Diagrams & Euler Equation
- Specific Speed
- Pelton, Francis & Kaplan
- Centrifugal & Reciprocating Pumps
- Cavitation & NPSH
Steam & Gas Turbines
- Steam Turbine Staging
- Gas Turbine Cycles
- Velocity Diagrams (Turbines)
- Degree of Reaction & Compounding
Engineering Materials
Structure & Properties
- Crystal Structures & Imperfections
- Mechanical Properties & Stress-Strain
- Iron-Carbon Diagram
- Binary Phase Diagrams & Lever Rule
- TTT & CCT Diagrams
Heat Treatment
- Annealing, Normalizing & Hardening
- Tempering & Case Hardening
- Ferrous & Non-Ferrous Materials
- Composite Materials
Manufacturing Processes
Casting
- Casting Types
- Pattern Design & Allowances
- Moulds, Cores & Core Prints
- Solidification & Chvorinov's Rule
- Riser & Gating Design
- Casting Defects & Yield
Forming
- Plastic Deformation & Yield Criteria
- Hot & Cold Working
- Forging (Types & Load)
- Rolling (Load & Torque)
- Extrusion & Drawing
- Sheet Metal Operations
- Springback & Forming Limits
- Powder Metallurgy
Joining
- Welding Processes
- Welding Metallurgy & HAZ
- Weld Defects & Joint Design
- Brazing, Soldering & Adhesives
Machining & Machine Tools
- Orthogonal & Oblique Cutting
- Merchant's Circle & Forces
- Tool Geometry, Materials & Wear
- Tool Life (Taylor's Equation)
- Economics of Machining
- Conventional Machine Tools
- Non-Traditional Machining
- Abrasive Machining
CNC & Work Holding
- Work Holding & 3-2-1 Location
- Jigs & Fixtures
- NC & CNC Machines
- CNC Programming (G & M Codes)
- Interpolation in CNC
- Machining Centres & FMS
Metrology, CIM & Additive Mfg
Metrology & Inspection
- Limits, Fits & Tolerances
- Tolerance Stack-Up
- Linear & Angular Measurement
- Calipers, Micrometers & Slip Gauges
- Comparators & Interferometry
- Form & Surface Finish
- Alignment & Testing
- Coordinate Measuring Machine
- Gauge Design
Computer Integrated Manufacturing
- CAD/CAM & Integration
- Computer Aided Process Planning
- Group Technology & Cellular Mfg
- Flexible Manufacturing Systems
- Additive Manufacturing & 3D Printing
Industrial Engineering
Production Planning & Control
- Forecasting Models
- Aggregate Production Planning
- Scheduling & Job Sequencing
- Materials Requirement Planning
- Lean Manufacturing (JIT & Kanban)
- Line Balancing
Inventory Control
- EOQ Model
- EOQ with Shortages & Discounts
- Production Inventory Model
- Reorder Point & Safety Stock
- Periodic & Continuous Review
- ABC & VED Analysis
Operations Research
- LP (Graphical & Simplex)
- Big M & Two-Phase Methods
- Duality & Sensitivity
- Transportation & Assignment
- Network Flow Models
- Queuing Models (M/M/1)
- PERT & CPM
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