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.

Special Functions, Bessel equation and related functions, Laplace transform methods: Inverse Laplace transform, Complex numbers, Bromwich integral, bilateral Laplace transforms, solution to ordinary and partial differential equation, Green function and boundary value problems, Fourier transform methods, Mellin transforms. Eigenvalue problems and Eigen function expansions: Sturm-Liouville problems. Integral equations, Perturbation methods.

Review of planar motion of rigid bodies and Newton-Euler equations of motion; constraints – holonomic and non-holonomic constraints, Newton-Euler equations for planar inter connected rigid bodies; D’Alembert’s principle, generalized coordinates; alternative formulations of analytical mechanics and applications to planar dynamics – Euler-Lagrange equations, Hamilton’s equations and ignorable coordinates, Gibbs-Appel and Kane’s equations; numerical solution of differential and differential algebraic equations; spatial motion of a rigid body – Euler angles, rotation matrices, quaternions, Newt

Mathematical review and computer arithmetic – numbers and errors; Nonlinear equations; Direct methods for linear systems; Iterative methods for linear systems; Eigenvalues and eigenvectors power method, inverse power method, QR method; Approximation theory – norms, orthogonalization, polynomial approximation, piecewise polynomial approximation, trigonometric approximation,rational approximation, wavelet bases; Numerical differentiation; Numerical integration – Romberg integration, Gauss quadrature, Adaptive quadrature; Numerical ordinary differential equations - single step and multi-step m

Introduction to international law; Space law – UNCOPUOS and its sub-committees and treaty formulation, definition and delimitation of outer space; Sources of space law – UN treaties, principles and resolutions, and domestic space legislations; Other international agencies relevant to space law; Legal aspects of space activities – state responsibility for space activities, debris mitigation; Legal and policty aspects of space applications – SATCOM policy, remote sensing data policy, position and navigation services, legal issues in satellite based services; Space Law relating to commercial s

Introduction - foundations of individual behavior and processes: personality, perception, workplace values, attitudes and emotions, learning, employee motivation, stress management – Group processes: foundations of group behavior, understanding work teams, communication, decision making and employee involvement, leadership, power and politics, conflict and negotiation – Organizational Processes: organization structure and design, organizational culture, organizational change and de- velopment.

Design process: identification of needs and requirements, conceptual solutions, preliminary design,detailing, manufacturing considerations, prototyping and testing.

Machine elements selection/design: shafts, couplings, pulleys and cables, clutches, screws, gears, cams, springs, structural elements, structural joints, sliding contact bearings, lubrication, rolling element bearings.

Basic acoustic principles – acoustic terminology and definitions – plane and spherical wave propagation – theories of monopole, dipole and quadrapole sound sources – sound transmission and absorption – sound transmission through ducts – structure borne sound – sound radiation and structural response – introduction to noise control.

Equations of Motion: rigid body dynamics, coordinate transformation, Euler angle & quaternion formulation – Dynamics of Generic Fixed Wing Aircraft: 6-DoF equations of motion, linearized equations of motion, linearised longitudinal & lateral equations, aerodynamic derivatives – LTI system basics – Stability of Uncontrolled Motion: linearized longitudinal & lateral dynamics, modes of motion – Response to Control Inputs: transfer function, step response & frequency response characteristics – Feedback Control: stability augmentation, PID control, root-locus technique for contro

Review of vibration of structural elements – one-dimensional motion in elastic media – discrete Fourier transform – spectral finite element method – standing waves – flexural waves in beams and plates – torsional waves in shafts – guided waves – structural health monitoring using wave propagation.