GATE ME 2027 Syllabus: Every Subject and Topic

Linear Algebra Coming soon

Covers: Matrix Algebra · Systems of Linear Equations · Eigenvalues and Eigenvectors

Calculus Coming soon

Covers: Limits, Continuity and Differentiability · Mean Value Theorems and Indeterminate Forms · Definite and Improper Integrals · Double and Triple Integrals · Partial and Total Derivatives · Taylor Series · Maxima and Minima · Fourier Series · Gradient, Divergence and Curl · Line, Surface and Volume Integrals · Gauss, Stokes and Green's Theorems

Differential Equations Coming soon

Covers: First Order Differential Equations · Higher Order Linear Differential Equations · Euler-Cauchy Equation · Initial and Boundary Value Problems · Laplace Transforms · Heat, Wave and Laplace Equations

Complex Variables Coming soon

Covers: Analytic Functions and Cauchy-Riemann Equations · Cauchy's Integral Theorem and Formula · Taylor and Laurent Series

Probability and Statistics Coming soon

Covers: Probability and Conditional Probability · Mean, Median, Mode and Standard Deviation · Random Variables and Distributions

Numerical Methods Coming soon

Covers: Numerical Solution of Algebraic Equations · Trapezoidal and Simpson's Rules · Numerical Methods for Differential Equations

FBD, Equilibrium, Plane Trusses and Virtual Work Coming soon

Covers: Free-Body Diagrams and Equilibrium · Trusses and Frames · Virtual Work · Centroid and Moment of Inertia

Friction Coming soon

Impulse and Momentum, Energy Formulations Coming soon

Covers: Impulse and Momentum · Energy Formulations · Lagrange's Equation

Plane Motion Coming soon

Covers: Kinematics of Particles · Kinematics of Rigid Bodies

Translation and Rotation Coming soon

Covers: Dynamics of Particles · Dynamics of Rigid Bodies

Stress and Strain Coming soon

Covers: Properties and Testing of Materials · Axially Loaded Members

Stress-strain Relationship and Elastic Constants Coming soon

Mohr's Circle Coming soon

Covers: Complex Stresses and Mohr's Circle · Strain Gauges and Rosettes · Combined Loading

Thin Cylinder Coming soon

Shear-force and Bending Moment Diagrams Coming soon

Bending of Beams Coming soon

Covers: Bending Stresses in Beams · Shear Stresses in Beams · Shear Centre · Deflection of Beams

Torsion of Shafts Coming soon

Euler's Theory of Column Coming soon

Strain Energy and Thermal Stresses Coming soon

Covers: Energy Methods · Thermal Stresses

Displacement, Velocity and Acceleration Coming soon

Planar Mechanisms Coming soon

Dynamic Analysis of Slider-crank Coming soon

Cams Coming soon

Gear and Gear Train Coming soon

Flywheel Coming soon

Balancing Coming soon

Gyroscope Coming soon

Covers: Gyroscope · Governors

Vibration Coming soon

Covers: Free Vibration of Single Degree of Freedom Systems · Forced Vibration and Damping · Two Degree of Freedom Systems · Vibration Isolation and Resonance · Critical Speeds of Shafts · Control System Basics (PID, Transfer Function)

Static Dynamic Loading and Failure Theories Coming soon

Covers: Design for Static and Dynamic Loading · Failure Theories

Fatigue Strength and S-N Diagram Coming soon

Bolted, Riveted and Welded Joint Coming soon

Covers: Bolted Joints · Riveted Joints · Welded Joints

Bearings, Shafts and Keys Coming soon

Covers: Shafts · Keys and Couplings · Rolling and Sliding Contact Bearings

Gears Coming soon

Covers: Gear Design · Belt Drives

Brakes and Clutches Coming soon

Springs Coming soon

Fluid Properties Coming soon

Fluid Statics Coming soon

Covers: Pressure Measurement · Hydrostatic Forces on Submerged Bodies · Buoyancy and Stability of Floating Bodies

Fluid Kinematics Coming soon

Covers: Fluid Kinematics · Velocity Potential

Fluid Dynamics Coming soon

Covers: Control Volume Analysis and Fluid Dynamics · Bernoulli's Equation · Dimensional Analysis · Compressible Flow and Nozzles

Viscous, Turbulent Flow and Boundary Layer Theory Coming soon

Covers: Laminar Flow · Turbulent Flow · Boundary Layer Theory · Lift and Drag

Flow Through Pipes Coming soon

Turbines and Pumps Coming soon

Covers: Impulse and Reaction Turbines · Pelton, Francis and Kaplan Turbines · Steam and Gas Turbines · Pumps and Pump Characteristics

Conduction Coming soon

Covers: Modes of Heat Transfer · Steady Conduction · Critical Radius of Insulation

Fins and Unsteady Heat Transfer Coming soon

Covers: Fins · Unsteady Conduction and Lumped Parameter System

Free and Forced Convection Coming soon

Covers: Thermal Boundary Layer and Dimensionless Numbers · Free Convection · Boiling and Condensation

Heat Transfer in Flow Over Plates and Pipes Coming soon

Covers: External Forced Convection · Internal Forced Convection

Radiation Coming soon

Covers: Radiation Laws · Black and Grey Surfaces and View Factors

Heat Exchanger Coming soon

Thermodynamic System and Processes Coming soon

Covers: Thermodynamic Systems and Processes · Zeroth Law · Ideal and Real Gases

Pure Substances Coming soon

Covers: Properties of Pure Substances · Thermodynamic Relations

First Law, Heat, Work and Energy Coming soon

Covers: Heat and Work · First Law of Thermodynamics

Second Law, Carnot Cycle and Entropy Coming soon

Covers: Second Law of Thermodynamics · Entropy

Availability and Irreversibility Coming soon

Power System Coming soon

Covers: Vapour Power Cycles · Gas Power Cycles · Air and Gas Compressors

IC Engine Coming soon

Covers: I.C. Engines (Otto, Diesel and Dual Cycles) · Air-Fuel Ratio and Equivalence Ratio

Vapor and Gas Refrigeration Coming soon

Covers: Vapour Refrigeration Cycles · Gas Refrigeration Cycles

Heat Pumps and Cycles Coming soon

Properties of Moist Air Coming soon

Psychrometric Process Coming soon

Engineering Materials Coming soon

Covers: Structure and Properties of Engineering Materials · Phase Diagrams · Heat Treatment · Stress-Strain Diagrams

Casting Process Coming soon

Covers: Casting Processes · Patterns, Moulds and Cores · Solidification, Riser and Gating Design · Casting Defects

Forming Process Coming soon

Covers: Plastic Deformation and Yield Criteria · Hot and Cold Working · Bulk Metal Forming · Powder Metallurgy

Sheet Metal Operation Coming soon

Joining-Welding Coming soon

Covers: Welding · Brazing, Soldering and Adhesive Bonding

Machining and Machine Tool Operation Coming soon

Covers: Mechanics of Machining · Tool Life and Tool Wear · Economics of Machining · Machine Tools and Cutting Tools · Abrasive Machining · Non-Traditional Machining · Jigs and Fixtures

Metrology and Inspection Coming soon

Covers: Limits, Fits and Tolerances · Linear and Angular Measurement · Comparators and Interferometry · Form and Finish Measurement · Alignment Testing and Tolerance Analysis · Coordinate Measuring Machine · Non-Destructive Testing

Computer Integrated Manufacturing Coming soon

Covers: NC/CNC Machines and Programming · CAD/CAM · Additive Manufacturing · Actuators for Automation (Pneumatic and Hydraulic) · Programmable Logic Controllers

Production Planning and Control Coming soon

Covers: Forecasting · Aggregate Production Planning · Scheduling and Sequencing · Material Requirements Planning · Lean Manufacturing · Six Sigma, Quality and Reliability · Work Study and Work Measurement · Productivity · Plant Layout · Line Balancing · Break-Even Analysis

Inventory Control Coming soon

Linear Programming Coming soon

Covers: Linear Programming (Graphical and Simplex) · Assignment Problem

PERT and CPM Coming soon

Queuing Theory and Transportation Coming soon

Covers: Queuing Theory · Transportation Problem · Network Flow Models

Verbal Aptitude Coming soon

Covers: Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech · Basic vocabulary: words, idioms, and phrases in context · Reading and comprehension, Narrative sequencing

Quantitative Aptitude Coming soon

Covers: Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables · Numerical computation and estimation: ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series. Mensuration and geometry, Elementary statistics and probability

Analytical Aptitude Coming soon

Covers: Logic: deduction and induction, Analogy, Numerical relations and reasoning

Spatial Aptitude Coming soon

Covers: Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping; paper folding, cutting, and patterns in 2 and 3 dimensions