SYLLABUS FOR MECCHANICAL ENGINEERING(ME)

Engineering Mathenatics

**Linear Algera:**

Matrix algebra, System of linear equations, Eigen value and eigen vectors.

**Calculus:**

Function of single variable, limit, continuity and differentiability, Mean value theorems, Evalution of definite and improper integrals, Partial derivatives, Total derivatives, maxima and minima, Gradient Divergence and curl, vector identities, Directional derivatives, Line, surface and volume integrals, stokes, Gauss and Green's theorem.

**Differential Equation**

First order equation, Higher order linear differential equation with constant coefficients, cauchy's and euler's equations, initial and boundary value problems, Laplace Transform, Solution of one dimensional heat and wave equation and Laplace equation.

**Complex Variable**

Analytic funtions, Cauchy's integral theorem, Taylor and laurent series.

**Probability and statistics**

Defination of probability and sampling theorems, Conditional Probability, Mean,median,Mode and standard deviations, Random variables, Poison, Normal and Bionomial disrtibutions.

**Numerical methods**

Numerical solution of linear and non linear algebric equations integration by trapezoidal and simpson's rule, single and multistep methods for differential equations.

Applied Mechanics and design

**Engineering Mechanics**

Free body diagram and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plain motion, including impulse and momentum and energy formulation; impact.

**Strength of Materials:**

Stress and strain, stress-strain relationshio and elastic constants, Mohr's circle for plane stress and plain strain, thin cylinders;

shear force and bending movement diagram. bending and shear stress; deflection of beams; torsion of circular shafts; Euler's theory of columns; strain energy method; thermal stresses.

**Theory of machine**

Displacement, velocity and acceleration analysis of plane mechanisms; dynamic analysis of sllider-crank mechanics; gear trains; and flyweels.

**Vibration**

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; principle of the design of machine such as bolted, riveted and welded joints, shafts spur gears, rolling and slidingconstant bearing, break and clutches.

Fuid Mechanics and Thermal Sciences

**Fluid Mechanics**

**Heat Transfer**

**Thermodynamics**

**Applications**

Manufacturing and Industrial Engineering

Engineering Material

Metal casting

Forming

joining

Machining and machine tool operation

Metrological and inspection

Computer Integrated Manufacturing

Production and planning control

Inventory control

operations research

Best of luck