Introduction, definition, classification, behaviors of unidirectional composites – prediction of strength, stiffness – factors influencing strength and stiffness – failure modes – analysis of lamina; constitutive classical laminate theory – thermal stresses – theories of failure – design consideration – mechanical properties of composite materials – analysis of composite laminated beams – thin walled composite beams – bending of composite plates.

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 – introductio

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-

Basics of computer vision, and introduce some fundamental approaches for computer vision research: Image Filtering, Edge Detection, Interest Point Detectors, Motion and Optical Flow, Object Detection and Tracking, Region/Boundary Segmentation, Shape Analysis, and Statistical Shape Models, Deep Learning for Computer Vision, Imaging Geometry, Camera Modeling, and Calibration. Recent Advances in Computer vision.

Introduction to data mining concepts; linear methods for regression; classification methods: k- nearest neighbourclassifiers, decision tree, logistic regression, naive Bayes, Gaussian discriminant analysis; model evaluation & selection; unsupervised learning: association rules; apriori algorithm, FP tree, cluster analysis, self-organizing maps, google page ranking; dimensionality reduction methods: supervised feature selection, principal component analysis; ensemble learning: bagging, boosting, AdaBoost; outlier mining; imbalance problem; multi class classification; evolutionary computa