Functional English: conversation skills – asking questions, requests, doubts, engage in conversation – different types of communication-verbal and non-verbal, body language.Teaching Grammar: grammar games, exercise.

History of aviation – standard atmosphere – aerodynamic forces – lift generation – airfoils and wings – drag polar – concept of static stability – anatomy of an aircraft – mechanism of thrust production – propellers – jet engines and their operation – helicopters – aircraft performance – simple manoeuvres – aerospace materials and structural elements – aircraft instruments. Elements of rocket propulsion – launch vehicle dynamics – basic orbital mechanics – satellite applications and orbits – future challenges in aerospace engineering.

Heat conduction governing equation, extended surface heat transfer, multi-dimensional steady and unsteady conduction, conduction in semi-infinite domain, concept of superposition integral, applications, solidification and melting, inverse heat conduction.

Introduction to air-breathing and rocket propulsion systems – classification of air-breathing engines – thrust and performance evaluation – cycle analysis of ramjet, turbojet, turbofan, turboprop – diffuser and nozzle component analysis – combustion chambers – rocket propulsion systems classification – performance parameters of rocket propulsion – nozzle flow theory – chemical rockets – liquid rocket engine cycles – liquid propellants – solid propellant rockets.

Eulerian and Lagrangian approach – fluid kinematics: material derivative, rotation, deformation –Reynolds transport theorem – physical conservation laws – integral and differential formulations – Navier–Stokes and energy equations – exact solution of Navier–Stokes equations: steady and unsteady flows – potential flows: basic flow patterns, superposition – waves in fluids – boundary layer theory: momentum integral approach, Blasius solution, Falkner–Skan solutions – turbulent flows:time-averaged equations – closure problem – turbulence modeling. 

Elements of analytical dynamics – discrete systems with multiple degrees of freedom – elastic and inertia coupling – natural frequencies and mode – free vibration response – uncoupling of equations of motion – modal analysis – forced vibration response – vibration isolation – vibration of continu- ous systems – differential equations and boundary conditions – longitudinal, flexural and torsional vibrations of one-dimensional structures – vibration analysis of simplified aircraft and launch vehicle structures – structural damping – free and forced response of continuous systems – introduction t

Introduction – approximate solutions to governing differential equations (GDE) – finite element for- mulations starting from GDE – finite element formulations based on stationarity of a functional – one-dimensional finite element analysis; shape functions, types of elements and applications – two- and three-dimensional finite elements – numerical integration – applications to structural mechanics and fluid flow.

Review of basic equations of elasticity – state of stress at a point – analysis of strain, constitutive relations – generalized Hook’s law – formulation of boundary value problems – solution of 2D prob- lems – energy methods in elasticity – bending, shear and torsion – thin walled beams – applications.

History of aviation – types of flying machines – anatomy of an aircraft; fundamental aerodynamic variables – aerodynamic forces – lift generation – airfoils and wings – aerodynamic moments – concept of static stability – control surfaces; mechanism of thrust production – propellers – jet engines and their operation – elements of rocket propulsion; loads acting on an aircraft – load factor for simple maneuvers – Vn diagrams; aerospace materials; introduction to aerospace structures; basic orbital mechanics – satellite orbits; launch vehicles and reentry bodies.

Review of Ordinary Differential Equations: analytical methods, stability – Fourier series, orthog- onal functions, Fourier integrals, Fourier transform – Partial Differential Equations: first-order PDEs, method of characteristics, linear advection equation, Burgers’ equation, shock formation, Rankine-Hogoniot jump condition; classification, canonical forms; Laplace equation, min-max prin- ciple, cylindrical coordinates; heat equation, method of separation of variables, similarity transforma- tion method; wave equation, d’Alembert solution – Calculus of Variations: standard variational prob- le