Includes thermodynamics, fluid mechanics, machine design, and manufacturing, preparing candidates for careers in mechanical and industrial engineering.

GATE Mechanical Engineering

Official 2025 syllabus extracted from https://gate2025.iitr.ac.in/doc/2025/GATE%20_ME_2025_Syllabus.pdf

Engineering Mathematics

Matrix algebra

Systems of linear equations

Eigen values and eigen vectors

Linear Algebra

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 (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 theorems

Calculus

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 equations

Differential Equations

Analytic functions

Cauchy-Riemann equations

Cauchy's integral theorem and integral formula

Taylor and Laurent series

Complex Variables

Definitions of probability

Sampling theorems

Conditional probability

Mean, median, mode and standard deviation

Random variables

Binomial, Poisson and normal distributions

Probability and Statistics

Numerical solutions of linear and non-linear algebraic equations

Integration by trapezoidal and Simpson rules

Single and multi-step methods for differential equations

Numerical Methods

Applied Mechanics and Design

Free-body diagrams and equilibrium

Friction and its applications

Rolling friction

Belt-pulley

Brakes, clutches

Screw jack

Wedge

Trusses and frames

Virtual work

Kinematics and dynamics of rigid bodies in plane motion

Impulse and momentum (linear and angular)

Energy formulations

Lagrange's equation

Engineering Mechanics

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 UTM

Hardness and impact strength testing

Mechanics of Materials

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

Theory of Machines

Free and forced vibration of single DOF systems

Effect of damping

Vibration isolation

Resonance

Critical speeds of shafts

Vibrations

Design for static and dynamic loading

Failure theories

Fatigue strength and S-N diagram

Bolted, riveted and welded joints

Shafts

Gears

Rolling and sliding contact bearings

Brakes and clutches

Springs

Machine Design

Fluid Mechanics and Thermal Sciences

Fluid properties

Fluid statics, forces on submerged bodies, stability of floating bodies

Control-volume 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

Fluid Mechanics

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 convection

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

Heat Transfer

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 processes

Second law of thermodynamics

Property charts and tables

Availability and irreversibility

Thermodynamic relations

Thermodynamics

Air and gas compressors

Vapour and gas power cycles

Regeneration and reheat

Air-standard Otto, Diesel and dual cycles

Vapour and gas refrigeration and heat pump cycles

Properties of moist air, psychrometric chart

Basic psychrometric processes

Impulse and reaction principles, velocity diagrams

Pelton-wheel, Francis and Kaplan turbines

Steam and gas turbines

Applications

Materials, Manufacturing and Industrial Engineering

Structure and properties of engineering materials

Phase diagrams

Heat treatment

Stress-strain diagrams for engineering materials

Engineering Materials

Types of castings

Design of patterns, moulds and cores

Solidification and cooling

Riser and gating design

Plastic deformation and yield criteria

Hot and cold working processes

Bulk metal forming: forging, rolling, extrusion, drawing

Sheet metal forming: shearing, deep drawing, bending

Powder metallurgy

Welding, brazing, soldering and adhesive bonding

Casting, Forming and Joining

Mechanics of machining

Basic machine tools

Single and multi-point cutting tools

Tool geometry and materials

Tool life and wear

Economics of machining

Non-traditional machining processes

Work holding, jigs and fixtures

Abrasive machining processes

NC/CNC machines and CNC programming

Machining and Machine Tools

Limits, fits and tolerances

Linear and angular measurements

Comparators

Interferometry

Form and finish measurement

Alignment and testing methods

Tolerance analysis in manufacturing and assembly

Coordinate-measuring machine (CMM)

Metrology and Inspection

Basic concepts of CAD/CAM and their integration

Additive manufacturing

Computer Integrated Manufacturing

Forecasting models

Production Planning and Control

GATE Mechanical Engineering Syllabus 2025, 2026 and more: Subjects, Topics, and What to Study