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Functions of Complex Variables and Complex Integration Analytic functions Conformal Mapping Bilinear transformation Cauchys integral theorem and integral formula Taylor and Laurent Series Singularities Residues Residue theorem and its applications. Transforms Laplace Transform Inverse transforms Application to solution of linear ordinary differential equations with constant coefficients. Fourier integral theorem Fourier transform pair Sine and Cosine transforms. Inverse Ztransform Solution of difference equations using Z transform. LP-beta-zeolite-parameter.gif' alt='Delta Software For Nmr Database Jp' title='Delta Software For Nmr Database Jp' />Numerical Methods Solution of linear system by direct and iterative methods Interpolation and approximation Numerical Differentiation and Integration Solving Ordinary Differential Equations. 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Material Science Fracture Magnetic and Dielectric materials Conductor and Semi conductor materials Ceramic and Super conductor materials. Civil Engineering Fluid Statics and Dynamics Boundary Layer Pumps and Turbines Environmental Pollution. Electrical Engineering Ohms law Kirchoffs law A. C. circuits D. C. Transformers Synchronous machines Instrumentation. Computers Computer organisation Architecture Arrays Pointers User defined function C program. Chemistry Adsorption Chromatography Chemical kinetics Electrochemistry Spectroscopy Fuels and Combustion. Part III 1. Civil Engineering Geo Informatics  i Structural Engineering Mechanics Stress Strain Relationships Principal stresses and Principal strain in two dimension and three dimension. Composite Bars Composite Beams Elastic Constants. Beams and Bending Shear Force and Bending Moment Diagrams Flexural and Shear Stresses. Slope and Deflection of Beams. Thin and Thick Cylinders. Torsion. 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Foundation Engineering Site investigation scope and objectives drilling techniques depth and spacing of boreholes sampling Techniques penetration tests SPT and SCPT plate load test selection of foundation Foundation types shallow foundation bearing capacity Terzaghis Theory and BIS formula allowable bearing pressure bearing capacity from field tests settlement of foundation allowable settlement Codal provisions Design of foundations Isolated, combined and raft foundation Pile foundations static and dynamic pile driving formulae Engineering News and Hiley method Pile groups capacity and settlement Codal provisions pile load test negative friction on piles Earth pressure theories Earth pressure on retaining walls stability analysis of retaining wall. Transportation Engineering Highway Planning Road Classification, Geometric Design of Highways, Construction of Earth, WBM, Bituminous and concrete roads, Design of flexible and rigid pavements. Drainage of roads, maintenance of roads. 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