GATE Mechanical Engineering (ME) Syllabus Topic Map & Practice
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
Official scope and learning resources
This is our practice taxonomy, not a verbatim official syllabus or a claim that every subtopic has published questions. Check the current official document before planning examination coverage.
Solved GATE ME previous year questions
1,690 questions with official answers and step-by-step solutions.
General Aptitude
Revise General Aptitude: concept notes, worked examples and PYQsVerbal 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
Revise Engineering Mathematics: concept notes, worked examples and PYQsLinear 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
Revise Engineering Mechanics: concept notes, worked examples and PYQsStatics
- 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
Revise Strength of Materials: concept notes, worked examples and PYQsStress, 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
Revise Theory of Machines & Vibrations: concept notes, worked examples and PYQsMechanisms & 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
Revise Machine Design: concept notes, worked examples and PYQsStatic & 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
Revise Fluid Mechanics: concept notes, worked examples and PYQsFluid 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
Revise Heat Transfer: concept notes, worked examples and PYQsConduction
- 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
Revise Thermodynamics: concept notes, worked examples and PYQsLaws & 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
Revise Turbomachinery: concept notes, worked examples and PYQsHydraulic 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
Revise Engineering Materials: concept notes, worked examples and PYQsStructure & 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
Revise Manufacturing Processes: concept notes, worked examples and PYQsCasting
- 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
Revise Metrology, CIM & Additive Mfg: concept notes, worked examples and PYQsMetrology & 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
Revise Industrial Engineering: concept notes, worked examples and PYQsProduction 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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