D'Alembert's principle, General equations of motion of a rigid body, Motion of centre of inertia and motion relative to centre of inertia.

Motion about a fixed axis: Finite forces moment of effective forces about a fixed axis of rotation, Angular momentum, Kinetic energy of a rotating body about a fixed line, Equation of motion of the body about the axis of rotation, Principle of conservation of energy.

Motion in three dimensions with reference to Euler's dynamical and geometrical equations, Motion under no forces, Motion under impulsive forces, Motion of a top

Lagrange's equations for holonomous dynamical system, Energy equation for conservative field, Small oscillations, Motion under impulsive forces, Hamilton's equations of motion, Conservation of energy, Hamilton's principle and principle of least action.

Lagrange's and Euler's methods, Equation of continuity in cartesian, cylindrical and spherical polar coordinates, Boundary surface, Stream-lines, path-lines, velocity potential, Rotational and irrotational motion.

Euler's hydrodynamic equations, Bernoulli's theorem, Helmholtz equations, Cauchy's integral, Motion due to impulsive forces. Motion in two-dimensions, Stream function, Complex potential, Sources, Sinks, Doublets, Images in two dimensions: image of a source with regard to a plane, image of a source with regard to a circle.