04-18-2010, 03:01 PM
MATHEMATICS
Real Analysis - Sequence - Series - Uniform Convergence - Compactness - Connectedness - Implicit functions -Taylor's Theorem and Maxima and Minima for Functions of Two Variables - Lebesque Theory.
Complex Analysis - Analytic Functions - Conformal Mapping - Complex integration - Entire - functions - Elliptic Functions - Analytic Continuation.
Differential Equations - Systems of Linear ODEs - Fundamental Matrix - Strum - Lioville Problems - Bessel's & Legender's D.E.'s - Linear P.D.E of first and Second Order - Laplace, Wave and Diffusion Equations.
Mechanics - Kinematics - Dynamics in Space Langrangean Mechanics - Hamiltonian Methods - Tensors.
Algebra -Groups - Rings -Fields - Finite Fields -Vector Spaces -Linear Transformations -Boolean Algebra.
PHYSICS
Classical Mechanics: Mechanics of a Particle and System of Particles - Conservation Laws - Rutherford's Scattering Formula - Special Relativity.
Electromagnetic Theory and Optics: Electrostatics - Solutions of Poisson and Laplace Equation - Method of Images -Magnetic Fields - Biot Savart's and Ampere's Law - Maxwell's Equation - Poyntings Theorem - Ware Equation -Polarization - Diffraction - Faraday Effect - Interferometry - optical activity.
Semiconductor Devices: Zener Diode - JFT - Optoelectronic Devices - Transistors - Multivibrators - Linear and Digital Integrated Circuits - Analogue Modulation and Demodulation - Electronic Instruments.
Statistical Physics: Laws of Thermodynamics- Thermodyanmic Functions - Maxwell's Laws - Phase Transitions -Microconical, Canonical and Grand Canonical Ensembles -Specific Heat of Ideal Gas - Bose -Einstein and Fermi Dirac Statics - Specific Heat of Solids.
Quantum Mechanics: Schrodingers equation - One and Three Dimensional Square Wells - Harmonic Oscillator -Hydrogen Atom - Perturbation Theory - Scattering Theory.
Atomic and Molecular Physics: Atomic Spectra - Fine, Hyperfine Structure - LS Coupling - Bonding in Molecules -Heitler - London and LCAO - Molecular Spectra - Lasers.
Nuclear and Particle Physics: Basic Concepts - Radioactivity - Nuclear Forces -Shell Model - Ionisation and Radiation Losses - Nuclear Reactors - Nuclear Instrumentation - Classification of Elementary Particles.
Solid State Physics: Bravis Lattices - X - Ray and Neutron Diffraction - Free Electron Theory - Band Theory -Semi Conductors - Dielectrics - Dia and Paramagnetism - Magnetic Ordering of Various Types.
CRYSTAL SCIENCE
Solid state: Crystalline solids - structure of compounds - diamond, grapite - defects in solids - Bravis lattices - point groups - free electron theory - band theory - semiconductors - dielectrics - ferroelectrics -piezoelectrics - superconductors.
Thermodynamics: Laws - Joule-Thomson effect - free energy - work function - chemical potential - Gibbs-Duhem equation - partition function - Maxwell-Boltzmann - Bose-Einstein - Fermi-Dirac statistics -applications.
Quantum and wave mechanics: Atomic structure - postulates of quantum mechanics - Eigen function -Schordinger equation - particle in a box - Harmonic oscillator - Hydrogen atom - perturbation theory.
Optical properties: Electromagnetic radiation - regions of the spectrum - refractive index - transmittance -luminescence. Magnetic properties: Diamagnetic, paramagnetic and ferromagnetic materials - soft and hard materials.
Spectral techniques: UV-VIS, IR, Raman and microwave spectroscopy - X-ray diffraction, electron and neutron diffraction - AAS, XPS and Auger spectroscopy - Thermal methods - TGA, DTA and DSC.
Nuclear Science: Basic concepts - radioactivity - nuclear forces - shell model - ionization and radiation losses.
ENGLISH
The Elizabethan Age - Shakespeare - The age of Milton - The Restoration period - The Neo Classical period - The Ate of Johnson - Twentieth Century British Literature.
Twentieth Century American literature - Indian Writing in English History of the English Language -The Vocabulary of English - Loan Words -Change of Meaning in English Words - English Dictionaries.
Literary Criticism - Major Critics of the twentieth Century like I.A. Richards, F.R. Leaols and Cleanth Brooks.
Literary Forms : Sonnet, Ode, Epic, Novel and Short Story.
Linguistics : Phonetics and phonology, Morphology, Syntam Semantics.
English as an International Language - Varieties of English.
CHEMISTRY
Periodic Properties of Elements - Hybridisation - Molecular Orbitals - Chemical Bonding. Bronsted and Lewis Acids and Bases - Buffer Solutions -Oxidation - Reduction Potentials.
First and Second Law of Thermodynamics - Rates of Chemical Reactions - Arrhenius Equation - Concept of Transition State - catalysis.
Co - ordination Chemistry - Isomerism - Octahedral and Tetrahedral Complexes - Crystal Field splitting of d -Orbitals -Sandwich Compounds and Metal Carbonyls.
Symmetry Elements and Chiral Structures - R- S nomenclature - Disastereo Isomerism - Conformational Analysis of Cyclic and Acyclic System - Organic Reaction Mechanism.
Name Reactions - Applications of UV - VIS, NMR, ESR and Mass Spectral Techniques to Structural Problems.
APPLIED GEOLOGY
Petrology: Classification of Minerals - Geochemical Methods in Mineral Exploration - Geochemical Anamoly -Magmatic Evolution - Classification & Origin of Igneous Rocks - Metamorphic Facies - Petrogenesis - Petrochemistry -Process of Sedimentation - Diagenesis - Sedimentary Facies, Models.
Stratigraphy, Paleontology, Geomorphology, Economic Geology: Stratigraphic Principles - Correlation - Biostratigraphy - Application of Micropalaeontology - Geomorphology - Coastal Landforms - Geomorphic Agents - Ore Forming Processes-Metallic and Non- Metallic Deposits - Petroleum and Coal Deposits.
Geotectonics, Geophysics and Hydrogeology: Mechanics of Folding and Faulting - Lineation & Schistosity- Deformation Structures - Tectonic Movements. Seismic, Magnetic, Gravity, Electrical Methods - Well Logging - Radioactive Methods. Ground - water Occurrence -Aquifer Properties - Estimation - Flow Equations - Models - Water Quality.
Engineering, Environmental & Mining Geology: Engineering Properties of Rocks - Elasticity - Investigations for Dams, Tunnels, Land Slides - Coastal Erosion - Environmental problems due to Earthquakes, Valcanes, Mining -Geological Hazards - Mitigation. Open Cast and Underground Mining Methods - Metal Mining Methods - Placer Mining. Remote Sensing, Statistics and Computer Application: Aerial Photographs - Photogrammetry - Remote Sensing Techniques - Image Processing - GIS Applications. Statistical Methods - Testing of Hypothesis - Time Series Analysis -Computer Programming - Fortran77 - Matrix Manipulations.
Real Analysis - Sequence - Series - Uniform Convergence - Compactness - Connectedness - Implicit functions -Taylor's Theorem and Maxima and Minima for Functions of Two Variables - Lebesque Theory.
Complex Analysis - Analytic Functions - Conformal Mapping - Complex integration - Entire - functions - Elliptic Functions - Analytic Continuation.
Differential Equations - Systems of Linear ODEs - Fundamental Matrix - Strum - Lioville Problems - Bessel's & Legender's D.E.'s - Linear P.D.E of first and Second Order - Laplace, Wave and Diffusion Equations.
Mechanics - Kinematics - Dynamics in Space Langrangean Mechanics - Hamiltonian Methods - Tensors.
Algebra -Groups - Rings -Fields - Finite Fields -Vector Spaces -Linear Transformations -Boolean Algebra.
PHYSICS
Classical Mechanics: Mechanics of a Particle and System of Particles - Conservation Laws - Rutherford's Scattering Formula - Special Relativity.
Electromagnetic Theory and Optics: Electrostatics - Solutions of Poisson and Laplace Equation - Method of Images -Magnetic Fields - Biot Savart's and Ampere's Law - Maxwell's Equation - Poyntings Theorem - Ware Equation -Polarization - Diffraction - Faraday Effect - Interferometry - optical activity.
Semiconductor Devices: Zener Diode - JFT - Optoelectronic Devices - Transistors - Multivibrators - Linear and Digital Integrated Circuits - Analogue Modulation and Demodulation - Electronic Instruments.
Statistical Physics: Laws of Thermodynamics- Thermodyanmic Functions - Maxwell's Laws - Phase Transitions -Microconical, Canonical and Grand Canonical Ensembles -Specific Heat of Ideal Gas - Bose -Einstein and Fermi Dirac Statics - Specific Heat of Solids.
Quantum Mechanics: Schrodingers equation - One and Three Dimensional Square Wells - Harmonic Oscillator -Hydrogen Atom - Perturbation Theory - Scattering Theory.
Atomic and Molecular Physics: Atomic Spectra - Fine, Hyperfine Structure - LS Coupling - Bonding in Molecules -Heitler - London and LCAO - Molecular Spectra - Lasers.
Nuclear and Particle Physics: Basic Concepts - Radioactivity - Nuclear Forces -Shell Model - Ionisation and Radiation Losses - Nuclear Reactors - Nuclear Instrumentation - Classification of Elementary Particles.
Solid State Physics: Bravis Lattices - X - Ray and Neutron Diffraction - Free Electron Theory - Band Theory -Semi Conductors - Dielectrics - Dia and Paramagnetism - Magnetic Ordering of Various Types.
CRYSTAL SCIENCE
Solid state: Crystalline solids - structure of compounds - diamond, grapite - defects in solids - Bravis lattices - point groups - free electron theory - band theory - semiconductors - dielectrics - ferroelectrics -piezoelectrics - superconductors.
Thermodynamics: Laws - Joule-Thomson effect - free energy - work function - chemical potential - Gibbs-Duhem equation - partition function - Maxwell-Boltzmann - Bose-Einstein - Fermi-Dirac statistics -applications.
Quantum and wave mechanics: Atomic structure - postulates of quantum mechanics - Eigen function -Schordinger equation - particle in a box - Harmonic oscillator - Hydrogen atom - perturbation theory.
Optical properties: Electromagnetic radiation - regions of the spectrum - refractive index - transmittance -luminescence. Magnetic properties: Diamagnetic, paramagnetic and ferromagnetic materials - soft and hard materials.
Spectral techniques: UV-VIS, IR, Raman and microwave spectroscopy - X-ray diffraction, electron and neutron diffraction - AAS, XPS and Auger spectroscopy - Thermal methods - TGA, DTA and DSC.
Nuclear Science: Basic concepts - radioactivity - nuclear forces - shell model - ionization and radiation losses.
ENGLISH
The Elizabethan Age - Shakespeare - The age of Milton - The Restoration period - The Neo Classical period - The Ate of Johnson - Twentieth Century British Literature.
Twentieth Century American literature - Indian Writing in English History of the English Language -The Vocabulary of English - Loan Words -Change of Meaning in English Words - English Dictionaries.
Literary Criticism - Major Critics of the twentieth Century like I.A. Richards, F.R. Leaols and Cleanth Brooks.
Literary Forms : Sonnet, Ode, Epic, Novel and Short Story.
Linguistics : Phonetics and phonology, Morphology, Syntam Semantics.
English as an International Language - Varieties of English.
CHEMISTRY
Periodic Properties of Elements - Hybridisation - Molecular Orbitals - Chemical Bonding. Bronsted and Lewis Acids and Bases - Buffer Solutions -Oxidation - Reduction Potentials.
First and Second Law of Thermodynamics - Rates of Chemical Reactions - Arrhenius Equation - Concept of Transition State - catalysis.
Co - ordination Chemistry - Isomerism - Octahedral and Tetrahedral Complexes - Crystal Field splitting of d -Orbitals -Sandwich Compounds and Metal Carbonyls.
Symmetry Elements and Chiral Structures - R- S nomenclature - Disastereo Isomerism - Conformational Analysis of Cyclic and Acyclic System - Organic Reaction Mechanism.
Name Reactions - Applications of UV - VIS, NMR, ESR and Mass Spectral Techniques to Structural Problems.
APPLIED GEOLOGY
Petrology: Classification of Minerals - Geochemical Methods in Mineral Exploration - Geochemical Anamoly -Magmatic Evolution - Classification & Origin of Igneous Rocks - Metamorphic Facies - Petrogenesis - Petrochemistry -Process of Sedimentation - Diagenesis - Sedimentary Facies, Models.
Stratigraphy, Paleontology, Geomorphology, Economic Geology: Stratigraphic Principles - Correlation - Biostratigraphy - Application of Micropalaeontology - Geomorphology - Coastal Landforms - Geomorphic Agents - Ore Forming Processes-Metallic and Non- Metallic Deposits - Petroleum and Coal Deposits.
Geotectonics, Geophysics and Hydrogeology: Mechanics of Folding and Faulting - Lineation & Schistosity- Deformation Structures - Tectonic Movements. Seismic, Magnetic, Gravity, Electrical Methods - Well Logging - Radioactive Methods. Ground - water Occurrence -Aquifer Properties - Estimation - Flow Equations - Models - Water Quality.
Engineering, Environmental & Mining Geology: Engineering Properties of Rocks - Elasticity - Investigations for Dams, Tunnels, Land Slides - Coastal Erosion - Environmental problems due to Earthquakes, Valcanes, Mining -Geological Hazards - Mitigation. Open Cast and Underground Mining Methods - Metal Mining Methods - Placer Mining. Remote Sensing, Statistics and Computer Application: Aerial Photographs - Photogrammetry - Remote Sensing Techniques - Image Processing - GIS Applications. Statistical Methods - Testing of Hypothesis - Time Series Analysis -Computer Programming - Fortran77 - Matrix Manipulations.