  Drawing equipment and use of instruments. Lettering, Geometric
construction, Sketching and shape description. Basic descriptive
geometry, Developments and intersections. Axonometric, oblique
and perspective drawings, Multiview projection, Principal views,
Conventional practice, and sectional views. Auxiliary views.
Dimensioning techniques. Parallel: Introduction to computer
drawing, Drawing aids, Geometrical construction, and the
appropriate commands of text, editing, plotting, sections, layers,
pictorial views, and dimensioning, 3D Modelling of surfaces and solids. Auxiliary views, true length & true size, point view & edge view, Dihedral and slope angles, paralellizim & perpendicularity, peircing points and line of intersection between planes, bearings and direction slopes, skew lines, revlutions, development & intersections of solids.  First Year    Solid Mechanics, Statics, Dynamic, Vibration and FEM.  (20032007)    Kinematics of particles; Rectilinear and curvilinear motion in
various coordinate systems. Kinetics of particles; Newton’s second
law, Central force motion, Workenergy equation, Principle of
impulse and momentum, Impact, Conservation of energy and
momentum, Application to a system of particles. Kinematics of
rigid bodies; Relative velocity and acceleration, Instantaneous
center, Analysis in terms of a parameter. Plane kinetics of rigid
bodies with application of Newton’s second law, Energy and
impulsemomentum.  Fourth Year    Simple harmonic motion. Elements of vibratory systems. Systems
with single degree of freedom and applications; damped free
vibration, rotating and reciprocating unbalance, vibration isolation
and transmissibility, and period excitation, systems with multiple
degrees of freedom and applications, methods of finding natural
frequencies.  Fourth Year    Axial loading, Material properties obtained from tensile tests,
Stresses and strains due to axial loading, Thermal Stresses,
Elementary theory of torsion, Solid and hollow shafts, Thinwalled
tubes, Rectangular crosssection, Stresses in beams due to bending,
shear and combined forces. Composite beams, Analysis of plane
stress, Mohr’s Circle, Combined stresses, Thinwalled pressure
vessels, Deflection of beams, Buckling of columns, Energy
Methods.  Third Year    Fundamentals of Hardware and Software. Techniques for
Geometric Modeling (Line, Surface and Volume Modeling).
Elements of Interactive Computer Graphics. Entity Manipulation.
Introduction to Finite Element Techniques. Using inhouse
software: Introduction to Graphics User Interface, Sketcher
Environment, Parametric & FeatureBased Solid Modeling, Surface
Modeling, Concept of Parent/Child Relationships, Part
Construction Techniques, Patterns, Advanced Features, Cross
Sections, Parametric Relations, Component Assembly Techniques,
Drafting (Drawing) Techniques, Animation, Introduction to
Mechanism Design and Analysis, Introduction to Structural and
Thermal Simulation.  PhD    Introduction and basic concepts of finite element method. Finite
element formulation and stiffness matrix. Onedimensional
elements (spring, bar and beam elements) Twodimensional
elements (Plane triangular element). Finite element analysis of
vibration, heat transfer, fluid flow, and thermal stress problems.
Discussion.  Master    Combination of Statics and Strength of Materials.  Second Year    First order differential equations. Linear second and higher orders differential equations. Linear algebra. Matrices and Determinants. Systems of differential equations. Series solutions of differential equations. Legendre’s equation and polynomials. Frobenius Method. Laplace Transform.  PhD    Accuracy and stability of ODE solutions: One stepmethods (Heun’s Method, PredictorCorrector) Adaptive step size control. Boundary and eigen value problem. Conversion of boundary value to initial value problem. Accuracy and stability of PDE solutions: Elliptic, Parabolic and Hyperbolic equations with applications. Finite Element Method: 1D and multidimensional unconstrained problems. Constrained optimization. Integration equations: Simpson’s integration and NewtonCotes open and closed integration  Master    Newton laws for a single particle in a rotating coordinate system. Constraint relations and degrees of freedom. Generalized coordinates. Virtual work and Dalembert principle. Equilibrium and stability. Hamilton’s principle and Lagrang’s equations. Ignorable coordinates. Integrals of motion. Three dimensional rigid bodies dynamics. Euler angles and parameters. Hamilton’s equations. Variational principles. Liouville’s system. Introduction to canonical transformations.
 Master 
