Introduction to optimization – linear programming – duality and sensitivity analysis – integer programming – nonlinear programming – unconstrained optimization – constrained optimization: equality and inequality constraints – optimality conditions and optimization approaches – nontraditional optimization approaches – applications in aerospace engineering.

Structural components of aircraft, loads and material selection – introduction to Kirchhoff’s theory of thin plates: bending and buckling of thin plates – unsymmetric bending of beams – bending of open and closed thin walled beams: shear of and torsion of thin walled beams – combined open and closed section beams – structural idealization – introduction to composite materials.

Introduction to combustion and flames – introduction to air breathing propulsion systems – engine thrust and performance parameters – aircraft engine types – ideal and real gas turbine cycle analysis – performance measures – engine-aircraft matching – aerothermodynamics of inlets, nozzles, combustion chambers and after burners – basics of turbomachinery – compressor and turbine blade flow path analysis (axial and centrifugal types) – engine component matching and off-design analysis – ram jets – hypersonic air-breathing engines.

Exercises to study the fundamental aspects of machining operations applied in typical engineer- ing/aerospace applications.

Practices in traditional metal cutting operations – CNC simulation training – CNC machine tool exercises – grinding exercises and related analysis – exercises in non-traditional machining.

Metal forming practice: welding exercises and metallurgical analysis/ NDT of weld joints.Understanding the basics of cutting force/ cutting temperature measurement – flexible manufacturing system – machining centre and additive manufacturing.

Overview of aerodynamics, propulsion, atmosphere and aircraft instrumentation – aircraft performance: gliding, cruise and climbing flight, optimal cruise trajectories, take-off and landing, V-n diagrams – stability and control: static longitudinal, directional and lateral stability and control, stick fixed and stick free stability, hinge moments, trim-tabs, aerodynamic balancing – effect of manoeuvres – stability control and performance characteristics of sounding rockets and launch vehicles.

Governing equations – quasi-one-dimensional flows – acoustic waves and waves of finite ampli- tude – normal shocks – R-H equations – shock tube problem – oblique shocks – Prandtl-Meyer expansion – wave drag – reflection and interaction of waves – conical flows – flows with friction and heat transfer – linearized potential flow and its applications – transonic flows.

Introduction to heat transfer – steady state heat conduction – transient heat conduction – introduc- tion to convective heat transfer – external forced convection – internal forced convection – natural/ free convection – introduction to boiling and condensation – heat exchangers – blackbody radiation and radiative properties – radiative exchange between surfaces.

Integral Transforms: The Fourier transform pair – algebraic properties of Fourier transform – con- volution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory. Laplace transforms of elementary functions – inverse Laplace transforms – linearity property – first and second shifting theorem – Laplace transforms of derivatives and in- tegrals – Laplace transform of Dirac delta function – applications of Laplace transform in solving ordinary differential equations.

Fluid properties – fluid statics – integral control volume formulation – applications of Bernoulli equation – fluid kinematics – differential formulation, continuity and momentum equations – exact solutions of Navier-Stokes equation– dimensional analysis – pipe flow – potential flow – boundary layer theory.

Concepts of stress, strain – torsion – axial force, shear, and bending moment – pure bending – shear stress in beams – transformation of stresses and strains – deflection of beams columns; Euler loads, beam-columns, eccentrically loaded columns – energy methods, virtual displacement method, virtual force method.