
Prospective Research Scholars (MS/PhD)
Syllabus for MS/PhD interview
Important Information Regarding Interview
Candidates should show an aptitude for basic sciences like mathematics,
physics and chemistry. Candidates may choose to attend interviews in one of
the three panels given below. They are advised to prepare for the interview
on few of the topics listed under the chosen panel. Please note that this
is only an indicative list.
Structures Panel:
Syllabus for written test (Screening round) and interview
Strength of Materials :
Stresses, Strains, Stressstrain relations, Trusses, Beams ( SFD,BMD, Deflection of beams  Statically determinate ),
Theories of failure, Thin walled cylindrical shells subjected internal pressure, Torsional problems.
Composites :
Classifications, Stressstrain relations, Material constants, Micro mechanics, Macro mechanics
Aerodynamics and flight control Panel:
(for pdf file click here)
Syllabus for written test:(Screening round)
Linear Algebra: Vector algebra; Matrix – Matrix operations, Determinant, Rank of a matrix,
Eigen values and Eigen vectors; System of linear equations.
Calculus: Functions of a single variable and plots; Limit, continuity and differentiability;
Mean value theorem; Local / Global maxima and minima; Sequences and Series; Taylor and
Maclaurin series; Indefinite and definite integrals; Application of definite integral to find area
and volume; Partial and total derivatives. Functions of complex variables – Roots, Analytic
functions (CauchyRiemann equation).
Differential Equations: First order linear and nonlinear ordinary differential equations
(ODE); Higher order linear ODEs with constant coefficients; CauchyEuler equation.
(It is presumed that the candidate is knowledgeable with highschool mathematics such as
basic geometry, trigonometry, coordinate geometry and algebra, which are fundamental to the
given syllabus for the mathematics test)
Syllabus for interview:(Candidates shortlisted from written test)
Note: Prepare few topics from below. Not expected to know all.
Basics of Fluid Mechanics: Basic equations of motion, Classification
of Flows, Flow past bodies, Vortex motion, Lift, Drag, moments.
Basic Numerical Methods: Convergence, Stability, Finite difference
Methods, Complex analysis, Differential Equations, Special functions,
Programming Skills.
Basic Gas dynamics: Wave Propagation, Mach Waves, Compressible Flows,
Nozzle flows, Shocks, Expansion, Fanno flows, Rayleigh flows.
Experimental Techniques: Measurement of Flow parameters  pressure,
temperature, velocity, mass flow, flow visualization.
Flight Dynamics & Control.
Laplace transform, response of LTI, transfer functions, feedback systems,
open loop and closed loop gains, types of systems, poles and zeros, state
space form, stability, controllability, observability.
Free body diagram, point mass model, Airplane performance, rigid body
dynamics, trim and stability, static margin, longitudinal and
lateraldirectional dynamics, longitudinal and lateral modes.
Propulsion Panel:
Classification of Air Breathing and Rocket Propulsion, Working of
turbojet, ramjet, Solid and Liquid Propulsion, Calculation of thrust,
Equilibrium Combustion thermodynamics, Elements of Heat Transfer, Gas
Turbine Engine Components.
Experimental Techniques: Measurement of Flow parameters  pressure,
temperature, velocity, mass flow; flow visualization.
Basic Gas dynamics: Wave Propagation, Mach Waves, Compressible Flows,
Nozzle flows, Shocks, Expansion, Fanno flows, Rayleigh flows.
