Vel Tech University M.Tech Syllabus

Hi buddy here I am looking for Vel Tech University M.Tech entrance exam Syllabus, so would you plz provide me same here ??

[pawan]

As you want here I am providing Vel Tech University M.Tech entrance exam Syllabus, on your demand :


MECHANICAL ENGINEERING ME
ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and
Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Greens
theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with
constant coefficients, Cauchys and Eulers equations, Initial and boundary value problems, Laplace transforms,
Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchys integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median,
mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.
Numerical Methods:Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and
Simpsons rule, single and multi-step methods for differential equations.
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, including impulse and momentum (linear and angular) and
energy formulations; impact.
Strength of Materials: Stress and strain, stress-strain relationship and elastic constants, Mohrs 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; Eulers 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; gear trains; flywheels.
Vibrations: Free and forced vibration of single degree of freedom systems; effect of damping; vibration isolation;
resonance, critical speeds of shafts.
Design: Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram; principles of
the design of machine elements such as bolted, riveted and welded joints, shafts, spur gears, rolling and sliding
contact bearings, brakes and clutches

Vel Tech University M.Tech entrance exam Syllabus