GATE Exam Syllabus for Mechanical Engineering - ME
GATE Exam Syllabus for Mechanical Engineering - ME and we also provide details about the topics which you have to studied by the aspirants for Gate Mechanical Engineering - ME exams. Candidates may note that the Syllabus for GATE Mechanical Engineering - ME will be arranged topic wise and students have to studied and prepare according to the given Pattern. All the Details are mention about the Syllabus for the GATE Mechanical Engineering Papers - ME .
|1. MECHANICAL ENGINEERING Ė ME|
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 Greenís 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; Cauchyís 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 Simpsonís rules; single and multi- step methods for differential equations.
|Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.|
|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.
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