1)Revision of electromagnetic theory: Fields and potentials (Coulomb’s law, Gauss’ theorem, Poisson’s and Laplace’s   equations, Ohm’s law, Kirchhoff’s law, Ampere’s law, Gauss’s magnetic field law, Lorentz field     equation, Faraday’s   law, Maxwell’s modification of Ampere’s law), fields in vacuum and in matter. Maxwell’s equations.

2)Field interaction with matter: dipole moments and polarization. Field and potential due to electric dipoles and   multipole fields. Equation of continuity, relaxation time of charges in dielectrics and metals.

Concepts of stress and strain, state of stress in two and three dimensions, Hydrostatic and deviatoric stress, flow curves, yielding criteria (Von Mises and Tresca), octahedral shear stress and shear strain, stress invariants, Deformation work and power, Plastic stress - strain relations, Fundamentals of metal forming - Extrusion, rolling, wire drawing, Forging, Friction and lubrication in metal forming processes, Mechanics of meal working by slab method, Tension testing.

Introduction to Physiological Fluid Mechanics; Review of Concepts in Fluid Mechanics, Kinematics, Hydrostatics, Conservation relations, Viscous Flow, Unsteady Flow; Clinical Fluid Dynamic Measurements; Analysis of Total Peripheral Flow; Circulatory Biofluid Mechanics, Blood Rheology, Blood Composition and Structure, Flow Properties of Blood, Blood Vessel Structure; Models of Biofluid Flow, Models of Blood Flow, Applications of Poiseuilli’s Law for the study of Blood Flow; Introduction to Non-Newtonian Fluids, Power Law Model, Herschel-Bulkley Model, Casson Model, Non-Newtonian Flow in Elast

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