 ### 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, Stress-strain relations, Trusses, Beams ( SFD,BMD, Deflection of beams - Statically determinate ), Theories of failure, Thin walled cylindrical shells subjected internal pressure, Torsional problems.

Composites : Classifications, Stress-strain 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 (Cauchy-Riemann equation).

Differential Equations: First order linear and nonlinear ordinary differential equations (ODE); Higher order linear ODEs with constant coefficients; Cauchy-Euler equation. (It is presumed that the candidate is knowledgeable with high-school 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 lateral-directional 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.