Mechanical Engineering is one of the common streams among candidates for GATE. If you are preparing for GATE 2019 for Mechanical Engineering Stream, then you need to know about the GATE Syllabus for Mechanical. In this post, we would look at the GATE Syllabus for Mechanical Engineering. You should know about the topics GATE Syllabus Mechanical 2019 to answer the questions in the right way.

## GATE Syllabus for Mechanical

### Section 1: Engineering Mathematics

Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and
eigenvectors.
Calculus: Functions of single variable, limit, continuity and differentiability, mean
value theorems, indeterminate forms; evaluation of definite and improper integrals;
double and triple integrals; partial derivatives, total derivative, Taylor series (in one
and two variables), maxima and minima, Fourier series; gradient, divergence and
curl, vector identities, directional derivatives, line, surface and volume integrals,
applications of Gauss, Stokes and Green’s theorems.
Differential equations: First order equations (linear and nonlinear); higher order linear
differential equations with constant coefficients; Euler-Cauchy equation; initial and
boundary value problems; Laplace transforms; solutions of heat, wave and
Laplace’s equations.
Complex variables: Analytic functions; Cauchy-Riemann equations; Cauchy’s
integral theorem and integral formula; Taylor and Laurent series.
Probability and Statistics: Definitions of probability, sampling theorems, conditional
probability; mean, median, mode and standard deviation; random variables,
binomial, Poisson and normal distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic
equations; integration by trapezoidal and Simpson’s rules; single and multi-step
methods for differential equations.

### Section 2: Applied Mechanics and Design

Engineering Mechanics: Free-body diagrams and equilibrium; trusses and frames;
virtual work; kinematics and dynamics of particles and of rigid bodies in plane
motion; impulse and momentum (linear and angular) and energy formulations,
collisions.
Mechanics of Materials: Stress and strain, elastic constants, Poisson’s ratio; Mohr’s
circle for plane stress and plane strain; thin cylinders; shear force and bending
moment diagrams; bending and shear stresses; deflection of beams; torsion of
circular shafts; Euler’s theory of columns; energy methods; thermal stresses; strain
gauges and rosettes; testing of materials with universal testing machine; testing of
hardness and impact strength.
Theory of Machines: Displacement, velocity and acceleration analysis of plane
mechanisms; dynamic analysis of linkages; cams; gears and gear trains; flywheels
and governors; balancing of reciprocating and rotating masses; gyroscope.
Vibrations: Free and forced vibration of single degree of freedom systems, effect of
damping; vibration isolation; resonance; critical speeds of shafts.

You need to refer to the GATE Exam Syllabus for Mechanical, during your preparation. We have uploaded the GATE Syllabus Mechanical 2019 to help you with that. To download the GATE Syllabus for Mechanical, click on the link below: