Kernel Methods: reproducing kernel Hilbert space concepts, kernel algorithms, multiple kernels, graph kernels; multitasking, deep learning architectures; spectral clustering ; model based clustering, independent component analysis; sequential data: Hidden Markhov models; factor analysis; graphical models; reinforcement learning; Gaussian processes; motiff discovery; graph-based semisupervised learning; natural language processing algorithms.

Finite element formulations for beam, plate, shell (Kirchhoff and Mindlin-Reissner), and solid elements – large deformation nonlinearity – nonlinear bending of beams and plates – stress and strain measures – total Lagrangian and updated Lagrangian formulations – material nonlinearity – ideal and strain hardening plasticity – elastoplastic analysis – boundary nonlinearity – general contact formulations – solution procedures for nonlinear analysis, Newton-Raphson iteration method.

Mathematical models for fluid dynamics – classification of partial differential equations – discretization methods – finite difference formulation – numerical solution of elliptic equations – linear system of algebraic equations – numerical solution of parabolic equations – stability analysis – numerical solution of hyperbolic equations – finite volume method – time integration schemes – isentropic flow through CD nozzle – simulation of shockwave formation – incompressible Navier–Stokes equations and their solution algorithms – basics of grid generation

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 continuous 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

Overview of smart materials – piezoelectric ceramics – piezo-polymers – magnetostrictive materials – electroactive polymers – shape memory alloys – electro and magneto rheological fluids. Mechanics of Piezoelectric Materials and Systems: constitutive modelling – actuator and sensor – piezoelectric beams and plates. Shape Memory Alloys: constitutive modelling – actuation models. Electroactive polymer materials applications.

Mechanisms of robots: Regional and orientational mechanisms of serial chain manipulators, gripper mechanisms, parallel chain manipulator mechanisms, leg mechanisms of walking robots, suspension and drive mechanisms of wheeled rovers, bio-robots, UAV’s and Underwater robots. Representation of spatial mechanisms, and rigid body transformations Actuators, drives, and sensors in robotics.

Introduction to Total quality management – Philosophies and frameworks - Quality and competitiveness - Customer focus and satisfaction – Employee involvement - Continuous process improvement – Kaizen – 5S – Quality circles - Quality control tools – Poka-yoke – Quality function deployment - Failure mode effect analysis- Benchmarking - Quality costs– ISO 9000 standards – Quality audit – Statistical process control – control charts for variables and attributes – acceptance sampling – Sampling plan design – Six-Sigma: concept, DMAIC and DMADV, case studies.

Productivity – Work study – Method study – Principles of motion economy - Work measurement - – Work sampling - Time study – Standard time determination –Incentive plans - Introduction to Ergonomics - Value Engineering.

Introduction – Basics of probability and statistics– process capability – Quality loss function– design of experiments– Orthogonal array selection and utilization – Analysis and interpretation methods- Parameter design – tolerance analysis– statistical quality control: Control charts, Sampling plans.

Introduction to Operations research – Formulation of optimization problems – Linear programming – Revised simplex method – Simplex method for bounded variables - – Karmarkar’s method - Dual-simplex method – Goal programming - Integer programming – Dantzig-Wolfe decomposition – Network optimization models– Travelling salesman problem and its extensions – Evolutionary algorithms.

Thermodynamics basic concepts - the first law, (the enthalpy concept, heat capacity), the second law (reversible and irreversible processes, entropy, Gibbs energy, chemical potential, driving force), the third law, Clausius-Clapeyrons equations. Basics of Phase diagrams: Gibbs free energy – composition diagrams, Gibbs phase rule. Ideal and regular solutions, Diffusion: steady vs non-steady states, driving force and mechanisms Interfaces: solid-vapour, grain and phase boundaries. Nucleation (homogeneous and heterogeneous), growth, Eutectic solidification

Basic steps of powder metallurgy, powder fabrication techniques and Characterization, various Compaction techniques, Sintering techniques and mechanisms, Various compaction techniques -Injection molding, Powder forging/ rolling/ extrusion, Hot pressing/ Isostatic Pressing, Post Sintering process, Application of Powder Metallurgy Parts - Production of filters, self-lubricating bearings, gears, friction parts, electrical materials, sintering of carbide tools, Application of powder metallurgy in automobile and space industries.