Can you give me syllabus for ISRO Scientific Engineer Mechanical Engineering examination?

Here I am giving you syllabus for ISRO Scientific Engineer Mechanical Engineering examination below:

1. Engineering Mathematics
Linear Algebra: Algebra of matrices, system of linear equations, eigenvalues and eigen vectors.

Calculus: Taylor Series, Fourier Series, partial derivatives, total derivatives, definite and improper integrals, multiple integrals.

Vector Calculus: Gradient, divergence and curl, line and surface integrals, Green, Gauss and Stokes’ theorems.

Differential Equations: Linear ODE’s, first order non-linear ODE’s, initial and boundary value problems, Laplace transform, PDE’s-Laplace, wave and diffusion equations.

Numerical Methods: Solution of system of linear equations, interpolation, numerical integration, Newton-Raphson method, Runge-Kutta method.

Probability & Statistics: Gaussian, Weibul distribution and their properties, method of least squares, regression analysis, analysis of variance.

2. Applied Mechanics and Design Engineering Mechanics: Equivalent force systems, free-body concepts, equations of equilibrium, trusses and frames, virtual work and minimum potential energy. Kinematics and dynamics of particles and rigid bodies, impulse and momentum (linear and angular), energy methods, central force motion.

Strength of Materials: Stress and strain, stress-strain relationship and elastic constants, Mohr’s circle for plane stress and plane strain, shear force and bending moment diagrams, bending and shear stresses, deflection of beams torsion of circular shafts, thin and thick cylinders, Euler’s theory of columns, strain energy methods, thermal stresses.

Theory of Machines: Displacement, velocity and acceleration, analysis of plane mechanisms, dynamic analysis of slider-crank mechanism, planar cams and followers, gear tooth profiles, kinematics and design of gears, governors and flywheels, balancing of reciprocating and rotating masses.Vibrations: Free and forced vibration of single degree freedom systems, effect of damping, vibration isolation, resonance, critical speed of rotors.

Design of Machine Elements: Design for static and dynamic loading, failure theories, fatigue strength; design of bolted, riveted and welded joints; design of shafts and keys.