GATE Aerospace Engineering Syllabus 2025- IIT Roorkee has released the GATE AE syllabus 2025 online at gate2025.iitr.ac.in. Candidates preparing for GATE Aerospace Engineering must prepare the complete GATE AE 2025 syllabus to score well.
The syllabus of GATE Aerospace Engineering 2025 is divided into two sections that are Core and Special section. The 90% weightage will be provided to core topics whereas the special topics will hold 10% weightage. Refer the below details for detailed GATE syllabus for Aerospace Engineering 2025.
Vector algebra, systems of linear equations, Matrix algebra, rank of a matrix, eigen values and eigen vectors.
Calculus
Functions of single variable, limits, mean value theorem, continuity and differentiability, chain rule, partial derivatives, maxima and minima, directional derivatives, gradient, divergence and curl. Integration, Line,surface and volume integrals. Gauss and Green, Theorems of Stokes.
Differential Equations
First order linear and nonlinear differential equations, higher order linear ODEs with constant coefficients. Partial differential equations and separation of variables methods.
Special Topics
Fourier Series, Numerical methods for linear and nonlinear algebraic equations, Laplace Transforms, Numerical integration and differentiation. Probability and statistics, Complex analysis.Â
Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts. Pressure altitude; equivalent, calibrated, indicated air speeds; Primary flight instruments: Altimeter, ASI, VSI, Turn-bank indicator. Angle of attack, sideslip; Roll, pitch & yaw controls. Aerodynamic forces and moments
Airplane performance
Drag polar; take-off and landing; steady climb and descent; absolute and service ceiling; range and endurance, load factor, turning flight, V-n diagram. Winds: head, tail and cross winds.
Static stability
Stability and control derivatives; longitudinal stick fixed and free stability; horizontal tail position and size; directional stability, vertical tail position and size; lateral stability. Wing dihedral, sweep & position; hinge moments, stick forces.
Special Topics
Dynamic stability: Euler angles; Equations of motion; Decoupling of longitudinal and lateral-directional dynamics; longitudinal modes; lateral-directional modes.
GATE AE Syllabus 2025- Aerodynamics
Chapters
Topics
Basic Fluid Mechanics
Conservation laws: Mass, momentum and energy (Integral and differential form); Dimensional analysis and dynamic similarity;
Potential flow theory
Sources, sinks, doublets, line vortex and their superposition. Elementary ideas of viscous flows including boundary layers
Airfoils and wings
Airfoil nomenclature; Aerodynamic coefficients: lift, drag and moment; KuttaJoukoswki theorem; Thin airfoil theory, Kutta condition, starting vortex; Finite wing theory: Induced drag, Prandtl lifting line theory; Critical and drag divergence Mach number
Compressible Flows
Basic concepts of compressibility, One-dimensional compressible flows, Isentropic flows, Fanno flow, Rayleigh flow; Normal and oblique shocks, Prandtl-Meyer flow; Flow through nozzles and diffusers.
Stress and strain: Three-dimensional transformations, Mohr’s circle, principal stresses, Three-dimensional Hooke’s law, Plane stress and strain. Failure theories: Maximum stress, Tresca von Mises. Strain energy. Castigliano’s principles. Statically determinate and indeterminate trusses and beams. Elastic flexural buckling of columns.
Flight vehicle structures
Characteristics of aircraft structures and materials. Torsion, bending and shear of thin-walled sections. Loads on aircraft.
Structural Dynamics
Free and forced vibrations of undamped and damped SDOF systems. Free vibrations of undamped 2-DOF systems.
Special Topics
Vibration of beams. Theory of elasticity: Equilibrium and compatibility equations, Airy’s stress function.
Thermodynamics, boundary layers, heat transfer, combustion and thermochemistry.
Aerothermodynamics of aircraft engines theory
Thrust, efficiency, range. Brayton cycle.
Engine performance
Ramjet, turbojet, turbofan, turboprop and turboshaft engines. After burners.
Turbomachinery
Axial compressors: Angular momentum, work and compression, characteristic performance of a single axial compressor stage, efficiency of the compressor and degree of reaction, multi-staging.
Rockets
Thrust equation and specific impulse, rocket performance. Multi-staging. Chemical rockets. Performance of solid and liquid propellant rockets.
Centrifugal compressor
Stage dynamics, inducer, impeller and diffuser.
Axial turbines
Stage performance
Special Topics
Aerothermodynamics of non-rotating propulsion components such as intakes, combustor and nozzle. Turbine blade cooling. Compressor-turbine matching, Surge and stall.
