Gate Electrical Engineering Syllabus 2024

Section 1: Engineering Mathematics

Core Topics:

• Linear Algebra: Vector algebra, Matrix algebra, systems of linear equations, rank of a matrix, eigen values and eigen vectors.
• Calculus: Functions of single variable, limits, continuity and differentiability, mean value theorem, chain rule, partial derivatives, maxima and minima, gradient, divergence and curl, directional derivatives. Integration, Line, surface and volume integrals. Theorems of Stokes, Gauss and Green.
• 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, Laplace Transforms, Numerical methods for linear and nonlinear algebraic equations, Numerical integration and differentiation. Complex analysis. Probability and statistics.

Section 2: Flight Mechanics

Core Topics:

• Basics: Atmosphere, Aircraft classification, Configuration, Pressure altitude, Airspeeds, Primary flight instruments, Angle of attack, Controls, Aerodynamic forces and moments.
• Airplane Performance: Drag polar, Take-off and landing, Climb and descent, Ceiling, Range and endurance, Load factor, Turning flight, V-n diagram, Wind effects.
• Static Stability: Stability and control derivatives, Longitudinal and lateral stability, Wing characteristics.

Special Topics:

• Dynamic stability: Euler angles, Equations of motion, Decoupling of dynamics, Modes of motion.

Section 3: Space Dynamics

Core Topics:

• Central force motion: Trajectory determination, Orbital period, Kepler’s laws, Escape velocity.

Section 4: Aerodynamics

Core Topics:

• Basic Fluid Mechanics: Conservation laws, Dimensional analysis, Dynamic similarity.
• Potential Flow Theory: Sources, sinks, doublets, line vortex, superposition.
• Viscous Flows: Boundary layers.
• Airfoils and Wings: Airfoil nomenclature, Aerodynamic coefficients, Kutta-Joukoswki theorem, Thin airfoil theory, Kutta condition, starting vortex, Finite wing theory, Critical Mach number, Drag divergence.
• Compressible Flows: Compressibility, One-dimensional compressible flows, Isentropic flows, Shocks, Prandtl-Meyer flow, Nozzles and diffusers.

Special Topics:

• Wind Tunnel Testing: Measurement and visualization techniques, Shock - boundary layer interaction.

Section 5: Structures

Core Topics:

• Strength of Materials: Stress and strain, Mohr’s circle, Principal stresses, Hooke's law, Plane stress and strain, Failure theories, Strain energy, Castigliano’s principles.
• Flight Vehicle Structures: Aircraft structures, Torsion, Bending, Shear, Loads.
• Structural Dynamics: Vibrations of systems.

Special Topics:

• Vibration of beams, Theory of elasticity: Equilibrium equations, Airy’s stress function.

Section 6: Propulsion

Core Topics:

• Basics: Thermodynamics, boundary layers, heat transfer, combustion, thermo chemistry.
• Aerothermodynamics of Aircraft Engines: Thrust, efficiency, range, Brayton cycle.
• Engine Performance: Ramjet, turbojet, turbofan, turboprop, turboshaft engines, After burners.
• Turbomachinery: Axial compressors, Centrifugal Compressor, Axial Turbines.
• Rockets: Thrust equation, specific impulse, rocket performance.

Special Topics:

• Aerothermodynamics of non-rotating propulsion components: Turbine blade cooling, Compressor-turbine matching, Surge and stall.