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MATHEMATICS I - B.E (All Branches)

UNIT I - MATRICES

Introduction -Characteristic equation Eigen values and eigen vectors of a real matrix -Properties - Cayley-Hamilton theorem (excluding proof) - Orthogonal transformation of a symmetric matrix to diagonal form Quadratic form Reduction of quadratic form to canonical form by orthogonal transformation.

UNIT II - THREE DIMENSIONAL ANALYTICAL GEOMETRY

Equation of a sphere Plane section of a sphere Tangent Plane Equation of a cone Right circular cone Equation of a cylinder Right circular cylinder.

UNIT III - DIFFERENTIAL CALCULUS

Curvature in Cartesian co-ordinates - Centre and radius of curvature - Circle of curvature - Evolutes & Envelopes - Evolute as envelope of normals.

UNIT IV - FUNCTIONS OF SEVERAL VARIABLES

Partial derivatives Eulers theorem for homogenous functions Total derivatives Differentiation of implicit functions - Jacobians Taylors expansion Maxima and Minima Method of Lagrangian multipliers

UNIT V - MULTIPLE INTEGRALS

Double integration Cartesian and polar coordinates Change of order of integration Change of variables between Cartesian and polar coordinates Triple integration in Cartesian co-ordinates Area as double integral Volume as triple integral

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ENGINEERING PHYSICS I - B.E (All Branches)

UNIT I - ULTRASONICS

Introduction Production magnetostriction effect - magnetostriction generator- piezoelectric effect - piezoelectric generator - Detection of ultrasonic waves properties Cavitations - Velocity measurement acoustic grating - Industrial applications drilling, welding, soldering and cleaning SONAR - Non Destructive Testing pulse echo system through transmission and reflection modes - A,B and C scan displays, Medical applications - Sonograms

UNIT II - LASERS

Introduction-Principle of Spontaneous emission and stimulated emission. Population inversion, pumping. Einsteins A and B coeffcients - derivation. Types of lasers He-Ne, CO2, Nd-YAG, Semiconductor lasers (homojunction & heterojunction) Qualitative Industrial Applications -Lasers in welding, heat treatment, cutting Medical applications - Holography (construction & reconstruction).

UNIT III - FIBER OPTICS & APPLICATIONS

Principle and propagation of light in optical fibres Numerical aperture and Acceptance angle - Types of optical fibres (material, refractive index, mode) Double crucible technique of fibre drawing - Splicing, Loss in optical fibre attenuation, dispersion, bending - Fibre optical communication System (Block diagram) - Light sources - Detectors - Fibre optic sensors Temperature & displacement - Endoscope

UNIT IV - QUANTUM PHYSICS

Black body radiation Plancks theory (derivation) Deduction of Wiens displacement law and Rayleigh Jeans Law from Plancks theory Compton effect. Theory and experimental verification Matter waves Schrdingers wave equation Time independent and time dependent equations Physical significance of wave function Particle in a one dimensional box - Electron microscope - Scanning electron microscope - Transmission electron microscope.

UNIT V - CRYSTAL PHYSICS

Lattice Unit cell Bravais lattice Lattice Unit cell Bravais lattice Lattice planes Miller indices d spacing in cubic lattice Calculation of number of atoms per unit cell - Atomic radius Coordination number Packing factor for SC, BCC , FCC and HCP structures NaCl, ZnS, diamond and graphite structures Polymorphism and allotropy - Crystal defects point, line and surface defects- Burger vector.

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ENGINEERING CHEMISTRY I - B.E (All Branches)

UNIT I - WATER TECHNOLOGY

Characteristics alkalinity types of alkalinity and determination hardness types and estimation by EDTA method (problems); Domestic water treatment disinfection methods (Chlorination, ozonation. UV treatment) Boiler feed water requirements disadvantages of using hard water in boilers internal conditioning (phosphate, calgon and carbonate conditioning methods) external conditioning demineralization process desalination and reverse osmosis.

UNIT II - POLYMERS AND COMPOSITES

Polymers - definition polymerization types addition and condensation polymerization free radical polymerization mechanism Plastics, classification preparation, properties and uses of PVC, Teflon, polycarbonate, polyurethane, nylon-6,6, PET- Rubber -vulcanization of rubber, synthetic rubbers buty1 rubber, SBR, Composites definition, types polymer matrix composites FRP only.

UNIT III - SURFACE CHEMISTRY

Adsorption types adsorption of gases on solids adsorption isotherms Frendlich and Langmuir isotherms adsorption of solutes from solution role of adsorbents in catalysis, ion-exchange adsorption and pollution abatement

UNIT IV - NON-CONVENTIONAL ENERGY SOURCES AND STORAGE DEVICES

Nuclear energy fission and fusion reactions and light water nuclear reactor for power generation (block diagram only) breeder reactor solar energy conversion solar cells wind energy fuel cells hydrogen oxygen fuel cell batteries alkaline batteries leadacid, nickelcadmium and lithium batteries

UNIT V - ENGINEERING MATERIALS

Refractories classification acidic, basic and neutral refractories properties (refractoriness, refractoriness under load, dimensional stability, porosity, thermal spalling) manufacture of alumina, magnesite and zirconia bricks, Abrasives natural and synthetic abrasives quartz, corundum, emery, garnet, diamond, silicon carbide and boron carbide. Lubricants mechanism of lubrication, liquid lubricants, - properties viscosity index, flash and fire points, cloud and pour points, oilyness) solid lubricants graphite and molybdenum sulphide. Nanomaterials introduction to nanochemistry carbon nanotubes and their applications