Syllabus for Joint CSIR UGC Test for JRF & LS (NET)
CSIR-UGC NET Exam for Science stream is conducted by CSIR in the following areas: -
1. Chemical Sciences
2. Earth Sciences
3. Life Sciences
4. Mathematical Sciences
5. Physical Sciences
6. Engineering Sciences
The pattern for the Single Paper MCQ test shall be as given below:-
v The MCQ test paper of each subject shall carry a maximum of 200 marks.
v The exam shall be for duration of three hours.
v The question paper shall be divided in three parts
Ø Part 'A' shall be common to all subjects. This part shall be a test containing a maximum of 20 questions of General Aptitude. The candidates shall be required to answer any 15 questions of two marks each. The total marks allocated to this section shall be 30 out of 200
Ø Part 'B' shall contain subject-related conventional MCQs. The total marks allocated to this section shall be 70 out of 200. The maximum number of questions to be attempted shall be in the range of 20-35.
Ø Part 'C' shall contain higher value questions that may test the candidate's knowledge of scientific concepts and/or application of the scientific concepts. The questions shall be of analytical nature where a candidate is expected to apply the scientific knowledge to arrive at the solution to the given scientific problem. The total marks allocated to this section shall be 100 out of 200.
Ø A negative marking for wrong answers, wherever required, shall be @ 25%
CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship
1. Chemical Sciences
Inorganic Chemistry1. Chemical periodicity
2. Structure and bonding in homo- and heteronuclear molecules, including shapes of molecules (VSEPR Theory).
3. Concepts of acids and bases, Hard-Soft acid base concept, Non-aqueous solvents.
4. Main group elements and their compounds: Allotropy, synthesis, structure and bonding, industrial importance of the compounds.
5. Transition elements and coordination compounds: structure, bonding theories, spectral and magnetic properties, reaction mechanisms.
6. Inner transition elements: spectral and magnetic properties, redox chemistry, analytical applications.
7. Organometallic compounds: synthesis, bonding and structure, and reactivity. Organometallics in homogeneous catalysis.
8. Cages and metal clusters.
9. Analytical chemistry- separation, spectroscopic, electro- and thermoanalytical methods.
10. Bioinorganic chemistry: photosystems, porphyrins, metalloenzymes, oxygen transport, electron- transfer reactions; nitrogen fixation, metal complexes in medicine.
11. Characterisation of inorganic compounds by IR, Raman, NMR, EPR, Mössbauer, UV-vis, NQR, MS, electron spectroscopy and microscopic techniques.
12. Nuclear chemistry: nuclear reactions, fission and fusion, radio-analytical techniques and activation analysis.
Physical Chemistry:
1. Basic principles of quantum mechanics: Postulates; operator algebra; exactly-
solvable systems: particle-in-a-box, harmonic oscillator and the hydrogen atom, including shapes of atomic orbitals; orbital and spin angular momenta; tunneling.
2. Approximate methods of quantum mechanics: Variational principle; perturbation theory up to second order in energy; applications.
3. Atomic structure and spectroscopy; term symbols; many-electron systems and antisymmetry principle.
4. Chemical bonding in diatomics; elementary concepts of MO and VB theories; Huckel theory for conjugated π-electron systems.
5. Chemical applications of group theory; symmetry elements; point groups; character tables; selection rules.
6. Molecular spectroscopy: Rotational and vibrational spectra of diatomic molecules; electronic spectra; IR and Raman activities – selection rules; basic principles of magnetic resonance.
7. Chemical thermodynamics: Laws, state and path functions and their applications; thermodynamic description of various types of processes; Maxwell’s relations; spontaneity and equilibria; temperature and pressure dependence of thermodynamic quantities; Le Chatelier principle; elementary description of phase transitions; phase equilibria and phase rule; thermodynamics of ideal and non-ideal gases, and solutions.
8. Statistical thermodynamics: Boltzmann distribution; kinetic theory of gases; partition functions and their relation to thermodynamic quantities – calculations for model systems.
9. Electrochemistry: Nernst equation, redox systems, electrochemical cells; Debye-Huckel theory; electrolytic conductance – Kohlrausch’s law and its applications; ionic equilibria; conductometric and potentiometric titrations.
10. Chemical kinetics: Empirical rate laws and temperature dependence; complex reactions; steady state approximation; determination of reaction mechanisms; collision and transition state theories of rate constants; unimolecular reactions; enzyme kinetics; salt effects; homogeneous catalysis; photochemical reactions.
11. Colloids and surfaces: Stability and properties of colloids; isotherms and surface area; heterogeneous catalysis.
12. Solid state: Crystal structures; Bragg’s law and applications; band structure of solids.
13. Polymer chemistry: Molar masses; kinetics of polymerization.
14. Data analysis: Mean and standard deviation; absolute and relative errors; linear regression; covariance and correlation coefficient.
Organic Chemistry
1. IUPAC nomenclature of organic molecules including regio- and stereoisomers.
2. Principles of stereochemistry: Configurational and conformational isomerism in acyclic and cyclic compounds; stereogenicity, stereoselectivity, enantioselectivity, diastereoselectivity and asymmetric induction.
3. Aromaticity: Benzenoid and non-benzenoid compounds – generation and reactions.
4. Organic reactive intermediates: Generation, stability and reactivity of carbocations, carbanions, free radicals, carbenes, benzynes and nitrenes.
5. Organic reaction mechanisms involving addition, elimination and substitution reactions with electrophilic, nucleophilic or radical species. Determination of reaction pathways.
6. Common named reactions and rearrangements – applications in organic synthesis.
7. Organic transformations and reagents: Functional group interconversion including oxidations and reductions; common catalysts and reagents (organic, inorganic, organometallic and enzymatic). Chemo, regio and stereoselective transformations.
8. Concepts in organic synthesis: Retrosynthesis, disconnection, synthons, linear and convergent synthesis, umpolung of reactivity and protecting groups.
9. Asymmetric synthesis: Chiral auxiliaries, methods of asymmetric induction – substrate, reagent and catalyst controlled reactions; determination of enantiomeric and diastereomeric excess; enantio-discrimination. Resolution – optical and kinetic.
10. Pericyclic reactions – electrocyclisation, cycloaddition, sigmatropic rearrangements and other related concerted reactions. Principles and applications of photochemical reactions in organic chemistry.
11. Synthesis and reactivity of common heterocyclic compounds containing one or two heteroatoms (O, N, S).
12. Chemistry of natural products: Carbohydrates, proteins and peptides, fatty acids, nucleic acids, terpenes, steroids and alkaloids. Biogenesis of terpenoids and alkaloids.
13. Structure determination of organic compounds by IR, UV-Vis, 1H & 13C NMR and Mass spectroscopic techniques.
Interdisciplinary topics
1. Chemistry in nanoscience and technology.
2. Catalysis and green chemistry.
3. Medicinal chemistry.
4. Supramolecular chemistry.
5. Environmental chemistry.
CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship
2. EARTH, ATMOSPHERIC, OCEAN AND PLANETARY SCIENCES
PAPER I (PART B)
1. The Earth and the Solar System:
Milky Way and the solar system. Modern theories on the origin of the Earth and other planetary bodies. Earth’s orbital parameters, Kepler’s laws of planetary motion, Geological Time Scale; Space and time scales of processes in the solid Earth, atmosphere and oceans. Age of the Earth. Radioactive isotopes and their applications in earth sciences. Basic principles of stratigraphy. Theories about the origin of life and the nature of fossil record. Earth’s gravity and magnetic fields and its thermal structure: Concept of Geoid and, spheroid; Isostasy.
2 A. Earth Materials, surface features and Processes: Gross composition and physical properties of important minerals and rocks; properties and processes responsible for mineral concentrations; nature and distribution of rocks and minerals in different units of the earth and different parts of India
2 B. Surface features and Processes
Physiography of the Earth; weathering, erosion, transportation and deposition of Earth’s material; formation of soil, sediments and sedimentary rocks; energy balance of the Earth’s surface processes; physiographic features and river basins in India
3. Interior of the Earth, Deformation and Tectonics
Basic concepts of seismology and internal structure of the Earth. Physico-chemical and seismic properties of Earth’s interior. Concepts of stress and strain. Behaviour of rocks under stress; Folds, joints and faults. Earthquakes – their causes and measurement. Interplate and intraplate seismicity. Paleomagnetism, sea floor spreading and plate tectonics.
4. Oceans and Atmosphere
Hypsography of the continents and ocean floor –continental shelf, slope, rise and abyssal plains. Physical and chemical properties of sea water and their spatial variations. Residence times of elements in sea water. Ocean currents, waves and tides, important current systems, thermohaline circulation and the oceanic conveyor belt. Major water masses of the world’s oceans. Biological productivity in the oceans.
Motion of fluids, waves in atmospheric and oceanic systems. Atmospheric turbulence and boundary layer. Structure and chemical composition of the atmosphere, lapse rate and stability, scale height, geopotential, greenhouse gases and global warming. Cloud formation and precipitation processes, air- sea interactions on different space and time scales. Insolation and
heat budget, radiation balance, general circulation of the atmosphere and ocean. Climatic and sea level changes on different time scales. Coupled ocean-atmosphere system, El Nino Southern Oscillation (ENSO). General weather systems of India, - Monsoon system, cyclone and jet stream, Western disturbances and severe local convective systems, distribution of precipitation over India.
Marine and atmospheric pollution, ozone depletion.
5. Environmental Earth Sciences
Properties of water; hydrological cycle; water resources and management. Energy resources, uses, degradation, alternatives and management; Ecology and biodiversity. Impact of use of energy and land on the environment. Exploitation and conservation of mineral and other natural resources. Natural hazards. Elements of Remote Sensing.
Milky Way and the solar system. Modern theories on the origin of the Earth and other planetary bodies. Earth’s orbital parameters, Kepler’s laws of planetary motion, Geological Time Scale; Space and time scales of processes in the solid Earth, atmosphere and oceans. Age of the Earth. Radioactive isotopes and their applications in earth sciences. Basic principles of stratigraphy. Theories about the origin of life and the nature of fossil record. Earth’s gravity and magnetic fields and its thermal structure: Concept of Geoid and, spheroid; Isostasy.
2 A. Earth Materials, surface features and Processes: Gross composition and physical properties of important minerals and rocks; properties and processes responsible for mineral concentrations; nature and distribution of rocks and minerals in different units of the earth and different parts of India
2 B. Surface features and Processes
Physiography of the Earth; weathering, erosion, transportation and deposition of Earth’s material; formation of soil, sediments and sedimentary rocks; energy balance of the Earth’s surface processes; physiographic features and river basins in India
3. Interior of the Earth, Deformation and Tectonics
Basic concepts of seismology and internal structure of the Earth. Physico-chemical and seismic properties of Earth’s interior. Concepts of stress and strain. Behaviour of rocks under stress; Folds, joints and faults. Earthquakes – their causes and measurement. Interplate and intraplate seismicity. Paleomagnetism, sea floor spreading and plate tectonics.
4. Oceans and Atmosphere
Hypsography of the continents and ocean floor –continental shelf, slope, rise and abyssal plains. Physical and chemical properties of sea water and their spatial variations. Residence times of elements in sea water. Ocean currents, waves and tides, important current systems, thermohaline circulation and the oceanic conveyor belt. Major water masses of the world’s oceans. Biological productivity in the oceans.
Motion of fluids, waves in atmospheric and oceanic systems. Atmospheric turbulence and boundary layer. Structure and chemical composition of the atmosphere, lapse rate and stability, scale height, geopotential, greenhouse gases and global warming. Cloud formation and precipitation processes, air- sea interactions on different space and time scales. Insolation and
heat budget, radiation balance, general circulation of the atmosphere and ocean. Climatic and sea level changes on different time scales. Coupled ocean-atmosphere system, El Nino Southern Oscillation (ENSO). General weather systems of India, - Monsoon system, cyclone and jet stream, Western disturbances and severe local convective systems, distribution of precipitation over India.
Marine and atmospheric pollution, ozone depletion.
5. Environmental Earth Sciences
Properties of water; hydrological cycle; water resources and management. Energy resources, uses, degradation, alternatives and management; Ecology and biodiversity. Impact of use of energy and land on the environment. Exploitation and conservation of mineral and other natural resources. Natural hazards. Elements of Remote Sensing.
PAPER I (PART C)
I. GEOLOGY
1) MINERALOGY AND PETROLOGY:
Concept of point group, space group, reciprocal lattice, diffraction and imaging. Concepts of crystal field theory and mineralogical spectroscopy. TEM and SEM applications. Lattice defects (point, line and planar). Electrical, magnetic and optical properties of minerals. Bonding and crystal structures of common oxides, sulphides, and silicates. Transformation of minerals – polymorphism, polytypism, and polysomatism. Solid solution and exsolution.
Steady-state geotherms. Genesis, properties, emplacement and crystallization of magmas. Phase equilibrium studies of simple systems, effect of volatiles on melt equilibria. Magma-mixing, -mingling and -immiscibility.
Metamorphic structures and textures; isograds and facies. Mineral reactions with condensed phases, solid solutions, mixed volatile equilibria and thermobarometry. Metamorphism of pelites, mafic-ultra mafic rocks and siliceous dolomites. Material transport during metamorphism. P-T-t path in regional metamorphic terrains, plate tectonics and metamorphism.
Petrogenetic aspects of important rock suites of India, such as the Deccan Traps, layered intrusive complexes, anorthosites, carbonatites, charnockites, khondalites gondites and granitoids.
2) STRUCTURAL GEOLOGY AND GEOTECTONICS:
Theory of stress and strain. Behaviour of rocks under stress. Mohr circle. Various states of stress and their representation by Mohr circles. Different types of failure and sliding criteria. Geometry and mechanics of fracturing and conditions for reactivation of pre-existing discontinuities. Common types of finite strain ellipsoids. L-, L-S-, and S-tectonic fabrics. Techniques of strain analysis. Particle paths and flow patterns. Progressive strain history. Introduction to deformation mechanisms. Role of fluids in deformation processes. Geometry and analyses of brittle-ductile and ductile shear zones. Sheath folds. Geometry and mechanics of development of folds, boudins, foliations and lineations. Interference patterns of superposed fold. Fault-related folding. Gravity induced structures. Tectonic features of extensional-, compressional-, and strike-slip-terranes. and relevance to plate boundaries.
3) PALEONTOLOGY AND ITS APPLICATIONS:
Theories on origin of life. Organic evolution – Punctuated Equilibrium and Phyletic Gradualism models. Mass extinctions and their causes. Application of fossils in age determination and correlation. Paleoecology, Life habitats and various ecosystems, Paleobiogeography. Modes of preservation of fossils and taphonomic considerations. Types of microfossils. Environmental significance of fossils and trace fossils. Use of microfossils
in interpretation of sea floor tectonism. Application of micropaleontology in hydrocarbon exploration. Oxygen and Carbon isotope studies of microfossils and their use in paleoceanographic and paleoclimatic interpretation. Important invertebrate fossils, vertebrate fossils, plant fossils and microfossils in Indian stratigraphy.
4) SEDIMENTOLOGY AND STRATIGRAPHY:
Clastic sediments- gravel, sand and mud; biogenic, chemical and volcanogenic sediments. Classification of conglomerates, sandstones and mudstones, and carbonate rocks. Flow regimes and processes of sediment transport. Sedimentary textures and structures. Sedimentary facies and environments, reconstruction of paleoenvironments. Formation and evolution of sedimentary basins. Diagenesis of siliciclastic and carbonate rocks.
Recent developments in stratigraphic classification. Code of stratigraphic nomenclature – Stratotypes, Global Boundary Stratotype Sections and Points (GSSP). Lithostratigraphic, chronostratigraphic and biostratigraphic subdivisions. Methods of startigraphic correlation including Shaw’s Graphic correlation. Concept of sequence stratigraphy. Rates of sediment accumulation, unconformities. Facies concept in Stratigraphy – Walther’s law. Methods for paleogeographic reconstruction. Earth’s Climatic History. Phanerozoic stratigraphy of India with reference to the type areas– their correlation with equivalent formations in other regions. Boundary problems in Indian Phanerozoic stratigraphy.
5) MARINE GEOLOGY AND PALEOCEANOGRAPHY:
Morphologic and tectonic domains of the ocean floor. Structure, composition and mechanism of the formation of oceanic crust. hydrothermal vents-. Ocean margins and their significance. Ocean Circulation, Coriolis effect and Ekman spiral, convergence, divergence and upwelling, El Nino. Indian Ocean Dipole Thermohaline circulation and oceanic conveyor belt. Formation of Bottom waters; major water masses of the world’s oceans. Oceanic sediments: Factors controlling the deposition and distribution of oceanic sediments; geochronology of oceanic sediments, diagenetic changes in oxic and anoxic environments. Tectonic evolution of the ocean basins. Mineral resources. Paleoceanography – Approaches to paleoceanographic reconstructions; various proxy indicators for paleoceanographic interpretation. Reconstruction of monsoon variability by using marine proxy records Opening and closing of ocean gateways and their effect on circulation and climate during the Cenozoic. Sea level processes and Sea level changes.
Methods of paleo Sea Surface temperature. Quantifications.
6) GEOCHEMISTRY:
Structure and atomic properties of elements, the Periodic Table; ionic substitution in minerals; Phase rule and its applications in petrology, thermodynamics of reactions involving pure phases, ideal and non-ideal solutions, and fluids; equilibrium and distribution coefficients. Nucleation and diffusion processes in igneous, metamorphic and sedimentary environments, redox reactions and Eh-pH diagrams and their applications. Mineral/mineral
assemblages as ‘sensors’ of ambient environments. Geochemical studies of aerosols, surface-, marine-, and ground waters. Radioactive decay schemes and their application to geochronology and petrogenesis. Stable isotopes and their application to earth system processes; geochemical cylcles.
7) ECONOMIC GEOLOGY:
Magmatic, hydrothermal and surface processes of ore formation. Metallogeny and its relation to crustal evolution; Active ore-forming systems, methods of mineral deposit studies including ore microscopy, fluid inclusions and isotopic systematics; ores and metamorphism- cause and effect relationships. Geological setting, characteristics, and genesis of ferrous, base and noble metals. Origin, migration and entrapment of petroleum; properties of source and reservoir rocks; structural, stratigraphic and combination traps. Methods of petroleum exploration. Petroliferous basins of India. Origin of peat, lignite, bitumen and anthracite. Classification, rank and grading of coal; coal petrography, coal resources of India. Gas hydrates and coal bed methane. Nuclear and non-conventional energy resources.
8) PRECAMBRIAN GEOLOGY AND CRUSTAL EVOLUTION:
Evolution of lithosphere, hydrosphere, atmosphere, biosphere, and cryosphere;, lithological, geochemical and stratigraphic characteristics of granite – greenstone and granulite belts. Stratigraphy and geochronology of the cratonic nuclei, mobile belts and Proterozoic sedimentary basins of India. Life in Precambrian. Precambrian – Cambrian boundary with special reference to India.
9) QUATERNARY GEOLOGY:
Definition of Quaternary. Quaternary Stratigraphy – Oxygen Isotope stratigraphy, biostratigraphy and magnetostratigraphy. Quaternary climates – glacial-interglacial cycles, eustatic changes, proxy indicators of paleoenvironmental/ paleoclimatic changes, - land, ocean and cryosphere (ice core studies). Responses of geomorphic systems to climate, sea level and tectonics on variable time scales in the Quaternary,. Quaternary dating methods, –radiocarbon, Uranium series, Luminescence, Amino-acid, relative dating methods. Quaternary stratigraphy of India– continental records (fluvial, glacial, aeolian, palaeosols and duricrust); marine records; continental-marine correlation of Quaternary record.
Evolution of man and Stone Age cultures. Plant and animal life in relation to glacial and interglacial cycles during Quaternary.
Tectonic geomorphology, neotectonics, active tectonics and their applications to natural hazard assessment.
10) (I)APPLIED GEOLOGY:
(i) Remote Sensing and GIS: Elements of photogrammetry, elements of photo-interpretation, electromagnetic spectrum, emission range, film and imagery, sensors, geological interpretations of air photos and imageries. Global positioning systems. GIS- data structure, attribute data, thematic layers and query analysis.
(ii) Engineering Geology: Engineering properties of rocks and physical characteristics of building stones, concretes and other aggregates. Geological investigations for construction of dams, bridges, highways and tunnels. Remedial measures. Mass movements with special emphasis on landslides and causes of hillslope instability. Seismic design of buildings.
(iii) Mineral Exploration: Geological, geophysical, geochemical and geobotanical methods of surface and sub-surface exploration on different scales. Sampling, assaying and evaluation of mineral deposits.
(iv) Hydrogeology: Groundwater, Darcy’s law, hydrological characteristics of aquifers, hydrological cycle. Precipitation, evapotranspiration and infiltration processes. Hydrological classification of water-bearing formations. Fresh and salt-water relationships in coastal and inland areas. Groundwater exploration and water pollution. Groundwater regimes in India.
(II) PHYSICAL GEOGRAPHY
1) Geomorphology: Development in geomorphology. Historical and process Geomorphology. Landforms in relation to climate, rock type, structure and tectonics. Processes – weathering, pedogenesis, mass movement, erosion, transportation and deposition. Geomorphic processes and landforms – fluvial, glacial, eolian, coastal and karst. River forms and processes – stream flow, stage-discharge relationship; hydrographs and flood frequency analysis. Submarine relief. Geomorphology and topographic analysis including DEM, Environmental change– causes, effects on processes and landforms. Extra-terrestrial geomorphology.
2) Climatology: Fundamental principles of climatology. Earth’s radiation balance; latitudinal and seasonal variation of insolation, temperature, pressure, wind belts, humidity, cloud formation and precipitation, water balance. Air masses, monsoon, Jet streams, tropical cyclones, and ENSO. Classification of climates – Koppen’s and Thornthwaite’s scheme of classification. Climate change.
3) Bio-geography: Elements of biogeography with special reference to India; environment, habitat, plant-animal association; zoo-geography of India; Biomes, elements of plant geography, distribution of forests and major plant communities. Distribution of major animal communities. Conservation of forests. Wildlife sanctuaries and parks.
4) Environmental Geography: Man-land relationship. Resources – renewable and non-renewable. Natural and man-made hazards – droughts, floods, cyclones, earthquakes, landslides, tsunamis. Ecological balance, environmental pollution and deterioration.
5) Geography of India: Physiography, drainage, climate, soils and natural resources – the Himalaya, Ganga-Brahmaputra Plains, and peninsular India Precambrian shield, the Gondwana rift basins, Deccan Plateau. Indian climatology with special reference to seasonal distribution and variation of temperature, humidity, wind and precipitation; Climate zones of India. Agricultural geography of India. Population – its distribution and characteristics. Urbanization and migration. Environmental problems and issues.
(III) GEOPHYSICS
1) Signal Processing: Continuous and discrete signals; Fourier series; linear time invariant systems with deterministic and random inputs; band limited signal and sampling theorem; discrete and Fast Fourier transform; Z-transform; convolution; Filters: discrete and continuous, recursive, non-recursive, optimal and inverse filters; deconvolution.
2) Field theory: Newtonian potential; Laplace and Poisson’s equations; Green’s Theorem; Gauss’ law; Continuation integral; equivalent stratum; Maxwell’s equations and electromagnetic theory; Displacement potential, Helmhotz’s theorem and seismic wave propagation.
3) Numerical analysis and inversion: Numerical differentiation and integration, finite element, and finite difference techniques; Simpson’s rules; Gauss’ quadrature formula; initial value problems; pattern recognition in Geophysics. Well posed and ill-posed problems; method of least squares; direct search and gradient methods; generalized inversion techniques; singular value decomposition; global optimization.
4) Gravity and Magnetic fields of the earth: Normal gravity field; Clairaut’s theorem; Shape of the earth; deflection of the vertical, geoid, free-air, Bouguer and isostatic anomalies, isostatic models for local and regional compensation. Geomagnetic field, secular and transient variations and their theories; palaeomagnetism, construction of polar wandering curves.
5) Plate Tectonics and Geodynamics: Vine-Mathews hypothesis, marine magnetic anomalies, sea floor spreading; mid-oceanic ridges and geodynamics; plate tectonics hypothesis; plate boundaries and seismicity. Heat flow mechanisms, core-mantle convection and mantle plumes.
6) Seismology & Tomography: Seismometry: short period, long period, broad band and strong motion; elements of earthquake seismology; seismic sources: faulting source, double couple hypothesis, elastodynamics, Haskell’s function, seismic moment tensor, focal mechanism and fault plane solutions; seismic gaps; seismotectonics and structure of the earth; Himalayan and stable continental region earthquakes, reservoir induced seismicity; seismic hazards; earthquake prediction.
7) Gravity and Magnetic Methods: Gravimeters and magnetometers; data acquisition from land, air and ship; corrections and reduction of anomalies; ambiguity; regional and
residual separation; continuation and derivative calculations; interpretation of anomalies of simple geometric bodies, single pole, sphere, horizontal cylinder, sheet, dyke and fault. Forward modelling and inversion of arbitrary shaped bodies and 2-D, 3-D interfaces. Interpretations in frequency domain.
8) Electrical and Electromagnetic Methods: Electrical profiling and sounding, typical sounding curves, pseudo-sections; resistivity transform and direct interpretation; induced polarization methods. Electromagnetic field techniques; elliptic polarization, in-phase and out of phase components, horizontal and vertical loop methods; interpretation; VLF (very low frequency); AFMAG (Audio frequency magnetic) methods; and central frequency sounding; transient electromagnetic methods; magneto-telluric method; geomagnetic depth sounding.
9) Seismic Methods: Generalized Snell’s Law; Ray theory; reflection, refraction, diffraction; Zoeppritz’s equation; seismic energy sources; detectors; seismic noises and noise profile analysis; seismic data recording and telemetry devices; reduction to a datum and weathering corrections; Interpretation of a refraction seismic data by graphical and analytical techniques; CDP/CMP; seismic reflection data processing, velocity analysis, F-K filtering, stacking, deconvolution, migration before and after stack; bright spot analysis; wavelet processing; attenuation studies, shear waves, AVO; VSP; introduction to 3D seismics; seismic stratigraphy.
10) Well logging and other methods: Open hole, cased hole and production logging; Electrical logs; lateral, latero, induction, S.P; porosity logs; sonic, density, neutron; natural gamma; determination of formation factor, porosity, permeability, density, water saturation, lithology; logging while drilling. Radioactive and geothermal methods.
(IV) METEOROLOGY
1) Climatology: Same as under Geography
2) Physical Meteorology: Thermal structure of the atmosphere and its composition. Radiation: basic Laws - Rayleigh and Mie scattering, multiple scattering, radiation from the sun, solar constant, effect of clouds, surface and planetary albedo. Emission and absorption of terrestrial radiation, radiation windows, radiative transfer, Greenhouse effect, net radiation budget; Thermodynamics of dry and moist air: specific gas constant, Adiabatic and isoentropic processes, entropy and enthalpy, Moisture variables, virtual temperature; Clausius – Clapeyron equation, adiabatic process of moist air; thermodynamic diagrams: Hydrostatic equilibrium: Hydrostatic equation, variation of pressure with height, geopotential, standard atmosphere, altimetry. Vertical stability of the atmosphere: Dry and moist air parcel and slice methods. Tropical convection.
3) Atmospheric Electricity: Fair weather electric field in the atmosphere and potential gradients, ionization in the atmosphere. Electrical fields in thunderstorms, theories of thunderstorm electrification.
4) Cloud Physics: Cloud classification, condensation nuclei, growth of cloud drops and ice-crystals, precipitation mechanisms: Bergeron, Findeisen process, coalescence process – Precipitation of warm and mixed clouds, artificial precipitation, hail suppression, fog and cloud – dissipation, radar observation of clouds and precipitation, radar equation, rain drop spectra, radar echoes of hail storm and tornadoes, radar observation of hurricanes, measurements of rainfall by radar.
5) Dynamic Meteorology: Basic equations and fundamental forces: Pressure, gravity, centripetal and Corolis forces, continuity equation in Cartesian and isobaric coordinates. Momentum equation Cartesian and spherical coordinates; scale analysis, inertial flow, geostrophic and gradient winds, thermal wind. Divergence and vertical motion Rossby, Richardson, Reynolds and Froude numbers. Circulation, vorticity and divergence; Bjerknese circulation theorem and applications, vorticity and divergence equations, scale analysis, potential vorticity, stream function and velocity potential. Atmospheric turbulence: Mixing length theory, planetary boundary layer equations, surface layer, Ekman layer, eddy transport of heat, moisture and momentum, Richardson criterion; Linear Perturbation Theory: Internal and external gravity waves, inertia waves, gravity waves, Rossby waves, wave motion in the tropics, barotropic and baroclinic instabilities. Atmospheric Energetics: Kinetic, potential and internal energies – conversion of potential and internal energies into kinetic energy, available potential energy.
6) Numerical Weather Prediction: computational instability, filtering of sound and gravity waves, filtered forecast equations, barotropic and equivalent barotropic models, two parameter baroclinic model, relaxation method. Multi-layer primitive equation models. Short, medium and long range weather prediction. Objective analysis; Initialization of the data for use in weather prediction models; data assimilation techniques, application of satellite in NWP (Numerical Weather Prediction) and remotely sensed data.
7) General Circulation and Climate Modelling: Observed zonally symmetric circulations, meridional circulation models, mean meridional and eddy transport of momentum and energy, angular momentum and energy budgets; zonally asymmetric features of general circulation; standing eddies; east-west circulations in tropics: climate variability and forcings; feedback processes, low frequency variability, MJO Madden-Julian oscillation), ENSO, QBO (quasi-biennial oscillation) and sunspot cycles. Basic principles of general circulation modelling; grid-point and spectral GCMs; role of the ocean in climate modelling; interannual variability of ocean fields (SST, winds, circulation, etc.) and its relationship with monsoon, concepts of ocean – atmosphere coupled models.
8) Synoptic Meteorology: Weather observations and transmission, synoptic charts, analysis of surface, upper air another derivative chart, stream-lines, isotachs and contour analysis; tilt and slope of pressure/weather systems with height. Synoptic weather forecasting, prediction of weather elements such as rain, maximum and minimum
temperature and fog; hazardous weather elements like thunderstorms, duststorms, tornadoes. Tropical meteorology: Trade wind inversion, ITCZ; monsoon trough tropical cyclones, their structure and development theory; monsoon depressions; tropical easterly jet stream; low level jets, Somali jet, waves in easterlies; western disturbances; SW and NE monsoons; synoptic features associated with onset, withdrawal, break active and weak monsoons and their prediction. Air masses and fronts: sources, origin and classification of air masses; and fronts, frontogenesis and frontolysis; structure of cold and warm fronts; weather systems associated with fronts. Extra-tropical synoptic scale features: jet streams, extratropical cyclones and anticyclones.
9) Aviation Meteorology: Role of meteorology in aviation, weather hazards associated with take off cruising and landing, inflight – icing, turbulence, visibility, fog, clouds, rain, gusts, wind shear and thunderstorms, nowcasting and very short range forecasting.
10) Satellite Meteorology: Meteorological satellites – Polar orbiting and geostationary satellites, visible and infrared radiometers, multiscanner radiometers; identification of synoptic systems, fog and sandstorms, detection of cyclones, estimation of SST, cloud top temperatures, winds and rainfall: temperature and humidity soundings.
(V) OCEAN SCIENCES
1) Physical Oceanography: T-S diagrams; mixing processes in the oceans; characteristics of important water masses.
Wind generated waves in the oceans; their characteristics; shallow and deep water waves. Propagation, refraction, and reflection of waves. Wave spectrum, principles of wave forecasting.
Tide-producing forces and their magnitudes; prediction of tides by the harmonic method; tides and tidal currents in shallow seas, estuaries and rivers. Factors influencing coastal processes; transformation of waves in shallow water; effects of stratification; effect of bottom friction, phenomena of wave reflection, refraction and diffraction; breakers and surf; littoral currents; wave action on sediments – movement to beach material; rip currents; beach stability, ocean beach nourishment; harbour resonance; seiches; tsunami; interaction of waves and structure.
Estuaries: classification and nomenclature; tides in estuaries; estuarine circulation and mixing; depth – averaged and breadth – averaged models; sedimentation in estuaries; salinity intrusion in estuaries; effect of stratification; coastal pollution; mixing and dispersal of pollutants in estuaries and near-shore areas; coastal zone management.
The global wind system; action of wind on ocean surface; Ekman’s theory; Sverdrup, Stommel and Munk’s theories; upwelling and sinking with special reference to the Indian ocean. Inertial currents; divergences and convergences; geostrophic motion; barotropic and baroclinic conditions; oceanic eddies, relationship between density, pressure and dynamic
topography; relative and slope currents. Wind driven coastal currents; typical scales of motion in the ocean.
Characteristics of the global conveyor belt circulation and its causes.
Formation of subtropical gyres; western boundary currents; equatorial current systems; El Nino; monsoonal winds and currents over the North Indian Ocean; Somali current; southern ocean. Upwelling process in the Arabian Sea.
2) Chemical Oceanography: Composition of seawater – Classification of elements based on their distribution; major and minor constituents; behavior of elements; chemical exchanges across interfaces and residence times in seawater.
Chemical and biological interactions – Ionic interactions; cycling and air-sea exchange of important biogenic dissolved gases; carbon dioxide-carbonate system; alkalinity and control of pH; abiotic and biotic controls of trace elements in the ocean; biological pump and controls on atmospheric composition.
3) Geological Oceanography: Same topics as under subhead “Marine Geology & paleo-oceanography
4) Biological Oceanography: Classification of the marine environment and marine organisms.
Physio-chemical factors affecting marine life – light, temperature, salinity, pressure, nutrients, dissolved gases; adaptation and biological processes.
Primary and secondary production; factors controlling phytoplankton and zooplankton abundance and diversity; nekton and fisheries oceanography; benthic organisms; coastal marine communities and community ecology – estuaries, coral reefs and mangrove communities, deep-sea ecology including hydrothermal vent communities.
Energy flow and mineral cycling – energy transfer and transfer efficiencies through different trophic levels; food webs including the microbial loop.
Human impacts on marine communities; impacts of climate change on marine biodiversity.
Impact of pollution on marine environments including fisheries.
CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship
and Lecturer-ship
LIFE SCIENCES
1. Molecules and their Interaction Relevant to Biology
2. Cellular Organization
3. Fundamental Processes
4. Cell Communication and Cell Signaling
5. Developmental Biology
6. System Physiology – Plant
7. System Physiology – Animal
8. Inheritance Biology
9. Diversity of Life Forms
10. Ecological Principles
11. Evolution and Behavior
12. Applied Biology
13. Methods in Biology 1. MOLECULES AND THEIR INTERACTION RELAVENT TO BIOLOGY
A. Structure of atoms, molecules and chemical bonds.
B Composition, structure and function of biomolecules (carbohydrates, lipids,
proteins, nucleic acids and vitamins).
C. Stablizing interactions (Van der Waals, electrostatic, hydrogen bonding, hydrophobic
interaction, etc.).
D Principles of biophysical chemistry (pH, buffer, reaction kinetics, thermodynamics,
colligative properties).
E. Bioenergetics, glycolysis, oxidative phosphorylation, coupled reaction, group
transfer, biological energy transducers.
F. Principles of catalysis, enzymes and enzyme kinetics, enzyme regulation, mechanism of
enzyme catalysis, isozymes
G. Conformation of proteins (Ramachandran plot, secondary structure, domains, motif
and folds).
H. Conformation of nucleic acids (helix (A, B, Z), t-RNA, micro-RNA).
I. Stability of proteins and nucleic acids.
J. Metabolism of carbohydrates, lipids, amino acids nucleotides and vitamins.
2. CELLULAR ORGANIZATION
A) Membrane structure and function
(Structure of model membrane, lipid bilayer and membrane protein diffusion, osmosis,
ion channels, active transport, membrane pumps, mechanism of sorting and regulation
of intracellular transport,electrical properties of membranes).
B) Structural organization and function of intracellular organelles (Cell wall, nucleus,
mitochondria, Golgi bodies, lysosomes, endoplasmic reticulum, peroxisomes, plastids,
vacuoles, chloroplast, structure & function of cytoskeleton and its role in motility).
C) Organization of genes and chromosomes (Operon, unique and repetitive DNA,
interrupted genes, gene families, structure of chromatin and chromosomes,
heterochromatin, euchromatin, transposons).
D) Cell division and cell cycle (Mitosis and meiosis, their regulation, steps in cell cycle,
regulation and control of cell cycle).
E) Microbial Physiology (Growth yield and characteristics, strategies of cell division,
stress response)
3. FUNDAMENTAL PROCESSES
A) DNA replication, repair and recombination (Unit of replication, enzymes involved,
replication origin and replication fork, fidelity of replication, extrachromosomal replicons,
DNA damage and repair mechanisms, homologous and site-specific recombination).
B) RNA synthesis and processing (transcription factors and machinery, formation of
initiation complex, transcription activator and repressor, RNA polymerases, capping, elongation, and termination, RNA processing, RNA editing, splicing, and
polyadenylation, structure and function of different types of RNA, RNA transport).
C) Protein synthesis and processing (Ribosome, formation of initiation complex, initiation
factors and their regulation, elongation and elongation factors, termination, genetic code,
aminoacylation of tRNA, tRNA-identity, aminoacyl tRNA synthetase, and translational
proof-reading, translational inhibitors, Post- translational modification of proteins).
D) Control of gene expression at transcription and translation level (regulating the
expression of phages, viruses, prokaryotic and eukaryotic genes, role of chromatin in
gene expression and gene silencing).
4. Cell communication and cell signaling
A) Host parasite interaction Recognition and entry processes of different
pathogens like bacteria, viruses into animal and plant host cells, alteration of host
cell behavior by pathogens, virus-induced cell transformation, pathogen-induced
diseases in animals and plants, cell-cell fusion in both normal and abnormal
cells.
B) Cell signaling Hormones and their receptors, cell surface receptor, signaling
through G-protein coupled receptors, signal transduction pathways, second
messengers, regulation of signaling pathways, bacterial and plant twocomponent systems, light signaling in plants, bacterial chemotaxis and quorum
sensing.
C) Cellular communication Regulation of hematopoiesis, general principles of cell
communication, cell adhesion and roles of different adhesion molecules, gap
junctions, extracellular matrix, integrins, neurotransmission and its regulation.
D) Cancer
Genetic rearrangements in progenitor cells, oncogenes, tumor suppressor genes,
cancer and the cell cycle, virus-induced cancer, metastasis, interaction of cancer
cells with normal cells, apoptosis, therapeutic interventions of uncontrolled cell
growth.
E) Innate and adaptive immune system Cells and molecules involved in innate
and adaptive immunity, antigens, antigenicity and immunogenicity. B and T cell
epitopes, structure and function of antibody molecules. generation of antibody
diversity, monoclonal antibodies, antibody engineering, antigen-antibody
interactions, MHC molecules, antigen processing and presentation, activation
and differentiation of B and T cells, B and T cell receptors, humoral and cellmediated immune responses, primary and secondary immune modulation, the
complement system, Toll-like receptors, cell-mediated effector functions,
inflammation, hypersensitivity and autoimmunity, immune response during
bacterial (tuberculosis), parasitic (malaria) and viral (HIV) infections, congenital
and acquired immunodeficiencies, vaccines.5. DEVELOPMENTAL BIOLOGY
A) Basic concepts of development : Potency, commitment, specification, induction,
competence, determination and differentiation; morphogenetic gradients; cell fate and cell
lineages; stem cells; genomic equivalence and the cytoplasmic determinants; imprinting; mutants
and transgenics in analysis of development
B) Gametogenesis, fertilization and early development: Production of gametes, cell surface
molecules in sperm-egg recognition in animals; embryo sac development and double fertilization
in plants; zygote formation, cleavage, blastula formation, embryonic fields, gastrulation and
formation of germ layers in animals; embryogenesis, establishment of symmetry in plants; seed
formation and germination.
C) Morphogenesis and organogenesis in animals : Cell aggregation and differentiation in
Dictyostelium; axes and pattern formation in Drosophila, amphibia and chick; organogenesis –
vulva formation in Caenorhabditis elegans, eye lens induction, limb development and
regeneration in vertebrates; differentiation of neurons, post embryonic development- larval
formation, metamorphosis; environmental regulation of normal development; sex determination.
D) Morphogenesis and organogenesis in plants: Organization of shoot and root apical
meristem; shoot and root development; leaf development and phyllotaxy; transition to flowering,
floral meristems and floral development in Arabidopsis and Antirrhinum
E) Programmed cell death, aging and senescence
6. SYSTEM PHYSIOLOGY - PLANT
A. Photosynthesis - Light harvesting complexes; mechanisms of electron
transport; photoprotective mechanisms; CO2 fixation-C3, C4 and CAM pathways.
B. Respiration and photorespiration – Citric acid cycle; plant mitochondrial
electron transport and ATP synthesis; alternate oxidase; photorespiratory
pathway.
C. Nitrogen metabolism - Nitrate and ammonium assimilation; amino acid
biosynthesis.
D. Plant hormones – Biosynthesis, storage, breakdown and transport;
physiological effects and mechanisms of action.
E. Sensory photobiology - Structure, function and mechanisms of action of
phytochromes, cryptochromes and phototropins; stomatal movement;
photoperiodism and biological clocks.F. Solute transport and photoassimilate translocation – uptake, transport and
translocation of water, ions, solutes and macromolecules from soil, through cells,
across membranes, through xylem and phloem; transpiration; mechanisms of
loading and unloading of photoassimilates.
G. Secondary metabolites - Biosynthesis of terpenes, phenols and nitrogenous
compounds and their roles.
H. Stress physiology – Responses of plants to biotic (pathogen and insects) and
abiotic (water, temperature and salt) stresses.
7. SYSTEM PHYSIOLOGY - ANIMAL
A. Blood and circulation - Blood corpuscles, haemopoiesis and formed elements,
plasma function, blood volume, blood volume regulation, blood groups,
haemoglobin, immunity, haemostasis.
B. Cardiovascular System: Comparative anatomy of heart structure, myogenic
heart, specialized tissue, ECG – its principle and significance, cardiac cycle,
heart as a pump, blood pressure, neural and chemical regulation of all above.
C. Respiratory system - Comparison of respiration in different species, anatomical
considerations, transport of gases, exchange of gases, waste elimination, neural
and chemical regulation of respiration.
D. Nervous system - Neurons, action potential, gross neuroanatomy of the brain
and spinal cord, central and peripheral nervous system, neural control of muscle
tone and posture.
E. Sense organs - Vision, hearing and tactile response.
F. Excretory system - Comparative physiology of excretion, kidney, urine
formation, urine concentration, waste elimination, micturition, regulation of water
balance, blood volume, blood pressure, electrolyte balance, acid-base balance.
G. Thermoregulation - Comfort zone, body temperature – physical, chemical,
neural regulation, acclimatization.
H. Stress and adaptation
I. Digestive system - Digestion, absorption, energy balance, BMR.
J. Endocrinology and reproduction - Endocrine glands, basic mechanism of
hormone action, hormones and diseases; reproductive processes,
gametogenesis, ovulation, neuroendocrine regulation8. INHERITANCE BIOLOGY
A) Mendelian principles : Dominance, segregation, independent assortment.
B) Concept of gene : Allele, multiple alleles, pseudoallele, complementation tests
C) Extensions of Mendelian principles : Codominance, incomplete dominance, gene
interactions, pleiotropy, genomic imprinting, penetrance and expressivity, phenocopy,
linkage and crossing over, sex linkage, sex limited and sex influenced characters.
D) Gene mapping methods : Linkage maps, tetrad analysis, mapping with molecular markers,
mapping by using somatic cell hybrids, development of mapping population in plants.
E) Extra chromosomal inheritance : Inheritance of Mitochondrial and chloroplast genes,
maternal inheritance.
F) Microbial genetics : Methods of genetic transfers – transformation, conjugation, transduction
and sex-duction, mapping genes by interrupted mating, fine structure analysis of genes.
G) Human genetics : Pedigree analysis, lod score for linkage testing, karyotypes, genetic
disorders.
H) Quantitative genetics : Polygenic inheritance, heritability and its measurements, QTL
mapping.
I) Mutation : Types, causes and detection, mutant types – lethal, conditional, biochemical, loss
of function, gain of function, germinal verses somatic mutants, insertional mutagenesis.
J) Structural and numerical alterations of chromosomes : Deletion, duplication, inversion,
translocation, ploidy and their genetic implications.
K) Recombination : Homologous and non-homologous recombination including transposition.
9. DIVERSITY OF LIFE FORMS:
A. Principles & methods of taxonomy:
Concepts of species and hierarchical taxa, biological nomenclature, classical &
quantititative methods of taxonomy of plants, animals and microorganisms.
B. Levels of structural organization:
Unicellular, colonial and multicellular forms. Levels of organization of tissues, organs
& systems. Comparative anatomy, adaptive radiation, adaptive modifications.C. Outline classification of plants, animals & microorganisms:
Important criteria used for classification in each taxon. Classification of plants,
animals and microorganisms. Evolutionary relationships among taxa.
D. Natural history of Indian subcontinent:
Major habitat types of the subcontinent, geographic origins and migrations of
species. Comman Indian mammals, birds. Seasonality and phenology of the
subcontinent.
E. Organisms of health & agricultural importance:
Common parasites and pathogens of humans, domestic animals and crops.
F. Organisms of conservation concern:
Rare, endangered species. Conservation strategies.
10. ECOLOGICAL PRINCIPLES
The Environment: Physical environment; biotic environment; biotic and abiotic
interactions.
Habitat and Niche: Concept of habitat and niche; niche width and overlap; fundamental
and realized niche; resource partitioning; character displacement.
Population Ecology: Characteristics of a population; population growth curves;
population regulation; life history strategies (r and K selection); concept of
metapopulation – demes and dispersal, interdemic extinctions, age structured
populations.
Species Interactions: Types of interactions, interspecific competition, herbivory,
carnivory, pollination, symbiosis.
Community Ecology: Nature of communities; community structure and attributes;
levels of species diversity and its measurement; edges and ecotones.
Ecological Succession: Types; mechanisms; changes involved in succession; concept
of climax.
Ecosystem Ecology: Ecosystem structure; ecosystem function; energy flow and
mineral cycling (C,N,P); primary production and decomposition; structure and function
of some Indian ecosystems: terrestrial (forest, grassland) and aquatic (fresh water,
marine, eustarine).
Biogeography: Major terrestrial biomes; theory of island biogeography;
biogeographical zones of India.Applied Ecology: Environmental pollution; global environmental change; biodiversity:
status, monitoring and documentation; major drivers of biodiversity change; biodiversity
management approaches.
Conservation Biology: Principles of conservation, major approaches to management,
Indian case studies on conservation/management strategy (Project Tiger, Biosphere
reserves).
11. EVOLUTION AND BEHAVIOUR
A. Emergence of evolutionary thoughts
Lamarck; Darwin–concepts of variation, adaptation, struggle, fitness and natural
selection; Mendelism; Spontaneity of mutations; The evolutionary synthesis.
B. Origin of cells and unicellular evolution:
Origin of basic biological molecules; Abiotic synthesis of organic monomers and
polymers; Concept of Oparin and Haldane; Experiement of Miller (1953); The first cell;
Evolution of prokaryotes; Origin of eukaryotic cells; Evolution of unicellular
eukaryotes; Anaerobic metabolism, photosynthesis and aerobic metabolism.
C. Paleontology and Evolutionary History:
The evolutionary time scale; Eras, periods and epoch; Major events in the evolutionary
time scale; Origins of unicellular and multi cellular organisms; Major groups of plants
and animals; Stages in primate evolution including Homo.
D. Molecular Evolution:
Concepts of neutral evolution, molecular divergence and molecular clocks;
Molecular tools in phylogeny, classification and identification; Protein and
nucleotide sequence analysis; origin of new genes and proteins; Gene duplication
and divergence.
E. The Mechanisms:
Population genetics – Populations, Gene pool, Gene frequency; Hardy-Weinberg Law;
concepts and rate of change in gene frequency through natural selection, migration and
random genetic drift; Adaptive radiation; Isolating mechanisms; Speciation; Allopatricity
and Sympatricity; Convergent evolution; Sexual selection; Co-evolution.
F. Brain, Behavior and Evolution:
Approaches and methods in study of behavior; Proximate and ultimate causation;
Altruism and evolution-Group selection, Kin selection, Reciprocal altruism; Neural basis of learning, memory, cognition, sleep and arousal; Biological clocks; Development
of behavior; Social communication; Social dominance; Use of space and territoriality;
Mating systems, Parental investment and Reproductive success; Parental care;
Aggressive behavior; Habitat selection and optimality in foraging; Migration, orientation
and navigation; Domestication and behavioral changes.
12. APPLIED BIOLOGY:
A. Microbial fermentation and production of small and macro molecules.
B. Application of immunological principles, vaccines, diagnostics. Tissue
and cell culture methods for plants and animals.
C. Transgenic animals and plants, molecular approaches to diagnosis and
strain identification.
D. Genomics and its application to health and agriculture, including gene
therapy.
E. Bioresource and uses of biodiversity.
F. Breeding in plants and animals, including marker – assisted selection
G. Bioremediation and phytoremediation
H. Biosensors13. METHODS IN BIOLOGY
A. Molecular Biology and Recombinant DNA methods:
Isolation and purification of RNA , DNA (genomic and plasmid) and proteins,
different separation methods.
Analysis of RNA, DNA and proteins by one and two dimensional gel
electrophoresis, Isoelectric focusing gels.
Molecular cloning of DNA or RNA fragments in bacterial and eukaryotic systems.
Expression of recombinant proteins using bacterial, animal and plant vectors.
Isolation of specific nucleic acid sequences
Generation of genomic and cDNA libraries in plasmid, phage, cosmid, BAC and YAC
vectors.
In vitro mutagenesis and deletion techniques, gene knock out in bacterial and
eukaryotic organisms.
Protein sequencing methods, detection of post translation modification of proteins.
DNA sequencing methods, strategies for genome sequencing.
Methods for analysis of gene expression at RNA and protein level, large scale
expression, such as micro array based techniques
Isolation, separation and analysis of carbohydrate and lipid molecules
RFLP, RAPD and AFLP techniques
B. Histochemical and Immunotechniques
Antibody generation, Detection of molecules using ELISA, RIA, western blot,
immunoprecipitation, fluocytometry and immunofluorescence microscopy,
detection of molecules in living cells, in situ localization by techniques such as FISH
and GISH.
C Biophysical Method:
Molecular analysis using UV/visible, fluorescence, circular dichroism, NMR and ESR
spectroscopy Molecular structure determination using X-ray diffraction and NMR,
Molecular analysis using light scattering, different types of mass spectrometry and
surface plasma resonance methods.
D Statisitcal Methods:
Measures of central tendency and dispersal; probability distributions (Binomial,
Poisson and normal); Sampling distribution; Difference between parametric and
non-parametric statistics; Confidence Interval; Errors; Levels of significance;
Regression and Correlation; t-test; Analysis of variance; X
2
test;; Basic introduction
to Muetrovariate statistics, etc.E. Radiolabeling techniques:
Detection and measurement of different types of radioisotopes normally used in
biology, incorporation of radioisotopes in biological tissues and cells, molecular
imaging of radioactive material, safety guidelines.
F. Microscopic techniques:
Visulization of cells and subcellular components by light microscopy, resolving powers
of different microscopes, microscopy of living cells, scanning and transmission
microscopes, different fixation and staining techniques for EM, freeze-etch and freezefracture methods for EM, image processing methods in microscopy.
G. Electrophysiological methods:
Single neuron recording, patch-clamp recording, ECG, Brain activity recording, lesion
and stimulation of brain, pharmacological testing, PET, MRI, fMRI, CAT .
H. Methods in field biology:
Methods of estimating population density of animals and plants, ranging patterns
through direct, indirect and remote observations, sampling methods in the study of
behavior, habitat characterization: ground and remote sensing methods.
2. Cellular Organization
3. Fundamental Processes
4. Cell Communication and Cell Signaling
5. Developmental Biology
6. System Physiology – Plant
7. System Physiology – Animal
8. Inheritance Biology
9. Diversity of Life Forms
10. Ecological Principles
11. Evolution and Behavior
12. Applied Biology
13. Methods in Biology 1. MOLECULES AND THEIR INTERACTION RELAVENT TO BIOLOGY
A. Structure of atoms, molecules and chemical bonds.
B Composition, structure and function of biomolecules (carbohydrates, lipids,
proteins, nucleic acids and vitamins).
C. Stablizing interactions (Van der Waals, electrostatic, hydrogen bonding, hydrophobic
interaction, etc.).
D Principles of biophysical chemistry (pH, buffer, reaction kinetics, thermodynamics,
colligative properties).
E. Bioenergetics, glycolysis, oxidative phosphorylation, coupled reaction, group
transfer, biological energy transducers.
F. Principles of catalysis, enzymes and enzyme kinetics, enzyme regulation, mechanism of
enzyme catalysis, isozymes
G. Conformation of proteins (Ramachandran plot, secondary structure, domains, motif
and folds).
H. Conformation of nucleic acids (helix (A, B, Z), t-RNA, micro-RNA).
I. Stability of proteins and nucleic acids.
J. Metabolism of carbohydrates, lipids, amino acids nucleotides and vitamins.
2. CELLULAR ORGANIZATION
A) Membrane structure and function
(Structure of model membrane, lipid bilayer and membrane protein diffusion, osmosis,
ion channels, active transport, membrane pumps, mechanism of sorting and regulation
of intracellular transport,electrical properties of membranes).
B) Structural organization and function of intracellular organelles (Cell wall, nucleus,
mitochondria, Golgi bodies, lysosomes, endoplasmic reticulum, peroxisomes, plastids,
vacuoles, chloroplast, structure & function of cytoskeleton and its role in motility).
C) Organization of genes and chromosomes (Operon, unique and repetitive DNA,
interrupted genes, gene families, structure of chromatin and chromosomes,
heterochromatin, euchromatin, transposons).
D) Cell division and cell cycle (Mitosis and meiosis, their regulation, steps in cell cycle,
regulation and control of cell cycle).
E) Microbial Physiology (Growth yield and characteristics, strategies of cell division,
stress response)
3. FUNDAMENTAL PROCESSES
A) DNA replication, repair and recombination (Unit of replication, enzymes involved,
replication origin and replication fork, fidelity of replication, extrachromosomal replicons,
DNA damage and repair mechanisms, homologous and site-specific recombination).
B) RNA synthesis and processing (transcription factors and machinery, formation of
initiation complex, transcription activator and repressor, RNA polymerases, capping, elongation, and termination, RNA processing, RNA editing, splicing, and
polyadenylation, structure and function of different types of RNA, RNA transport).
C) Protein synthesis and processing (Ribosome, formation of initiation complex, initiation
factors and their regulation, elongation and elongation factors, termination, genetic code,
aminoacylation of tRNA, tRNA-identity, aminoacyl tRNA synthetase, and translational
proof-reading, translational inhibitors, Post- translational modification of proteins).
D) Control of gene expression at transcription and translation level (regulating the
expression of phages, viruses, prokaryotic and eukaryotic genes, role of chromatin in
gene expression and gene silencing).
4. Cell communication and cell signaling
A) Host parasite interaction Recognition and entry processes of different
pathogens like bacteria, viruses into animal and plant host cells, alteration of host
cell behavior by pathogens, virus-induced cell transformation, pathogen-induced
diseases in animals and plants, cell-cell fusion in both normal and abnormal
cells.
B) Cell signaling Hormones and their receptors, cell surface receptor, signaling
through G-protein coupled receptors, signal transduction pathways, second
messengers, regulation of signaling pathways, bacterial and plant twocomponent systems, light signaling in plants, bacterial chemotaxis and quorum
sensing.
C) Cellular communication Regulation of hematopoiesis, general principles of cell
communication, cell adhesion and roles of different adhesion molecules, gap
junctions, extracellular matrix, integrins, neurotransmission and its regulation.
D) Cancer
Genetic rearrangements in progenitor cells, oncogenes, tumor suppressor genes,
cancer and the cell cycle, virus-induced cancer, metastasis, interaction of cancer
cells with normal cells, apoptosis, therapeutic interventions of uncontrolled cell
growth.
E) Innate and adaptive immune system Cells and molecules involved in innate
and adaptive immunity, antigens, antigenicity and immunogenicity. B and T cell
epitopes, structure and function of antibody molecules. generation of antibody
diversity, monoclonal antibodies, antibody engineering, antigen-antibody
interactions, MHC molecules, antigen processing and presentation, activation
and differentiation of B and T cells, B and T cell receptors, humoral and cellmediated immune responses, primary and secondary immune modulation, the
complement system, Toll-like receptors, cell-mediated effector functions,
inflammation, hypersensitivity and autoimmunity, immune response during
bacterial (tuberculosis), parasitic (malaria) and viral (HIV) infections, congenital
and acquired immunodeficiencies, vaccines.5. DEVELOPMENTAL BIOLOGY
A) Basic concepts of development : Potency, commitment, specification, induction,
competence, determination and differentiation; morphogenetic gradients; cell fate and cell
lineages; stem cells; genomic equivalence and the cytoplasmic determinants; imprinting; mutants
and transgenics in analysis of development
B) Gametogenesis, fertilization and early development: Production of gametes, cell surface
molecules in sperm-egg recognition in animals; embryo sac development and double fertilization
in plants; zygote formation, cleavage, blastula formation, embryonic fields, gastrulation and
formation of germ layers in animals; embryogenesis, establishment of symmetry in plants; seed
formation and germination.
C) Morphogenesis and organogenesis in animals : Cell aggregation and differentiation in
Dictyostelium; axes and pattern formation in Drosophila, amphibia and chick; organogenesis –
vulva formation in Caenorhabditis elegans, eye lens induction, limb development and
regeneration in vertebrates; differentiation of neurons, post embryonic development- larval
formation, metamorphosis; environmental regulation of normal development; sex determination.
D) Morphogenesis and organogenesis in plants: Organization of shoot and root apical
meristem; shoot and root development; leaf development and phyllotaxy; transition to flowering,
floral meristems and floral development in Arabidopsis and Antirrhinum
E) Programmed cell death, aging and senescence
6. SYSTEM PHYSIOLOGY - PLANT
A. Photosynthesis - Light harvesting complexes; mechanisms of electron
transport; photoprotective mechanisms; CO2 fixation-C3, C4 and CAM pathways.
B. Respiration and photorespiration – Citric acid cycle; plant mitochondrial
electron transport and ATP synthesis; alternate oxidase; photorespiratory
pathway.
C. Nitrogen metabolism - Nitrate and ammonium assimilation; amino acid
biosynthesis.
D. Plant hormones – Biosynthesis, storage, breakdown and transport;
physiological effects and mechanisms of action.
E. Sensory photobiology - Structure, function and mechanisms of action of
phytochromes, cryptochromes and phototropins; stomatal movement;
photoperiodism and biological clocks.F. Solute transport and photoassimilate translocation – uptake, transport and
translocation of water, ions, solutes and macromolecules from soil, through cells,
across membranes, through xylem and phloem; transpiration; mechanisms of
loading and unloading of photoassimilates.
G. Secondary metabolites - Biosynthesis of terpenes, phenols and nitrogenous
compounds and their roles.
H. Stress physiology – Responses of plants to biotic (pathogen and insects) and
abiotic (water, temperature and salt) stresses.
7. SYSTEM PHYSIOLOGY - ANIMAL
A. Blood and circulation - Blood corpuscles, haemopoiesis and formed elements,
plasma function, blood volume, blood volume regulation, blood groups,
haemoglobin, immunity, haemostasis.
B. Cardiovascular System: Comparative anatomy of heart structure, myogenic
heart, specialized tissue, ECG – its principle and significance, cardiac cycle,
heart as a pump, blood pressure, neural and chemical regulation of all above.
C. Respiratory system - Comparison of respiration in different species, anatomical
considerations, transport of gases, exchange of gases, waste elimination, neural
and chemical regulation of respiration.
D. Nervous system - Neurons, action potential, gross neuroanatomy of the brain
and spinal cord, central and peripheral nervous system, neural control of muscle
tone and posture.
E. Sense organs - Vision, hearing and tactile response.
F. Excretory system - Comparative physiology of excretion, kidney, urine
formation, urine concentration, waste elimination, micturition, regulation of water
balance, blood volume, blood pressure, electrolyte balance, acid-base balance.
G. Thermoregulation - Comfort zone, body temperature – physical, chemical,
neural regulation, acclimatization.
H. Stress and adaptation
I. Digestive system - Digestion, absorption, energy balance, BMR.
J. Endocrinology and reproduction - Endocrine glands, basic mechanism of
hormone action, hormones and diseases; reproductive processes,
gametogenesis, ovulation, neuroendocrine regulation8. INHERITANCE BIOLOGY
A) Mendelian principles : Dominance, segregation, independent assortment.
B) Concept of gene : Allele, multiple alleles, pseudoallele, complementation tests
C) Extensions of Mendelian principles : Codominance, incomplete dominance, gene
interactions, pleiotropy, genomic imprinting, penetrance and expressivity, phenocopy,
linkage and crossing over, sex linkage, sex limited and sex influenced characters.
D) Gene mapping methods : Linkage maps, tetrad analysis, mapping with molecular markers,
mapping by using somatic cell hybrids, development of mapping population in plants.
E) Extra chromosomal inheritance : Inheritance of Mitochondrial and chloroplast genes,
maternal inheritance.
F) Microbial genetics : Methods of genetic transfers – transformation, conjugation, transduction
and sex-duction, mapping genes by interrupted mating, fine structure analysis of genes.
G) Human genetics : Pedigree analysis, lod score for linkage testing, karyotypes, genetic
disorders.
H) Quantitative genetics : Polygenic inheritance, heritability and its measurements, QTL
mapping.
I) Mutation : Types, causes and detection, mutant types – lethal, conditional, biochemical, loss
of function, gain of function, germinal verses somatic mutants, insertional mutagenesis.
J) Structural and numerical alterations of chromosomes : Deletion, duplication, inversion,
translocation, ploidy and their genetic implications.
K) Recombination : Homologous and non-homologous recombination including transposition.
9. DIVERSITY OF LIFE FORMS:
A. Principles & methods of taxonomy:
Concepts of species and hierarchical taxa, biological nomenclature, classical &
quantititative methods of taxonomy of plants, animals and microorganisms.
B. Levels of structural organization:
Unicellular, colonial and multicellular forms. Levels of organization of tissues, organs
& systems. Comparative anatomy, adaptive radiation, adaptive modifications.C. Outline classification of plants, animals & microorganisms:
Important criteria used for classification in each taxon. Classification of plants,
animals and microorganisms. Evolutionary relationships among taxa.
D. Natural history of Indian subcontinent:
Major habitat types of the subcontinent, geographic origins and migrations of
species. Comman Indian mammals, birds. Seasonality and phenology of the
subcontinent.
E. Organisms of health & agricultural importance:
Common parasites and pathogens of humans, domestic animals and crops.
F. Organisms of conservation concern:
Rare, endangered species. Conservation strategies.
10. ECOLOGICAL PRINCIPLES
The Environment: Physical environment; biotic environment; biotic and abiotic
interactions.
Habitat and Niche: Concept of habitat and niche; niche width and overlap; fundamental
and realized niche; resource partitioning; character displacement.
Population Ecology: Characteristics of a population; population growth curves;
population regulation; life history strategies (r and K selection); concept of
metapopulation – demes and dispersal, interdemic extinctions, age structured
populations.
Species Interactions: Types of interactions, interspecific competition, herbivory,
carnivory, pollination, symbiosis.
Community Ecology: Nature of communities; community structure and attributes;
levels of species diversity and its measurement; edges and ecotones.
Ecological Succession: Types; mechanisms; changes involved in succession; concept
of climax.
Ecosystem Ecology: Ecosystem structure; ecosystem function; energy flow and
mineral cycling (C,N,P); primary production and decomposition; structure and function
of some Indian ecosystems: terrestrial (forest, grassland) and aquatic (fresh water,
marine, eustarine).
Biogeography: Major terrestrial biomes; theory of island biogeography;
biogeographical zones of India.Applied Ecology: Environmental pollution; global environmental change; biodiversity:
status, monitoring and documentation; major drivers of biodiversity change; biodiversity
management approaches.
Conservation Biology: Principles of conservation, major approaches to management,
Indian case studies on conservation/management strategy (Project Tiger, Biosphere
reserves).
11. EVOLUTION AND BEHAVIOUR
A. Emergence of evolutionary thoughts
Lamarck; Darwin–concepts of variation, adaptation, struggle, fitness and natural
selection; Mendelism; Spontaneity of mutations; The evolutionary synthesis.
B. Origin of cells and unicellular evolution:
Origin of basic biological molecules; Abiotic synthesis of organic monomers and
polymers; Concept of Oparin and Haldane; Experiement of Miller (1953); The first cell;
Evolution of prokaryotes; Origin of eukaryotic cells; Evolution of unicellular
eukaryotes; Anaerobic metabolism, photosynthesis and aerobic metabolism.
C. Paleontology and Evolutionary History:
The evolutionary time scale; Eras, periods and epoch; Major events in the evolutionary
time scale; Origins of unicellular and multi cellular organisms; Major groups of plants
and animals; Stages in primate evolution including Homo.
D. Molecular Evolution:
Concepts of neutral evolution, molecular divergence and molecular clocks;
Molecular tools in phylogeny, classification and identification; Protein and
nucleotide sequence analysis; origin of new genes and proteins; Gene duplication
and divergence.
E. The Mechanisms:
Population genetics – Populations, Gene pool, Gene frequency; Hardy-Weinberg Law;
concepts and rate of change in gene frequency through natural selection, migration and
random genetic drift; Adaptive radiation; Isolating mechanisms; Speciation; Allopatricity
and Sympatricity; Convergent evolution; Sexual selection; Co-evolution.
F. Brain, Behavior and Evolution:
Approaches and methods in study of behavior; Proximate and ultimate causation;
Altruism and evolution-Group selection, Kin selection, Reciprocal altruism; Neural basis of learning, memory, cognition, sleep and arousal; Biological clocks; Development
of behavior; Social communication; Social dominance; Use of space and territoriality;
Mating systems, Parental investment and Reproductive success; Parental care;
Aggressive behavior; Habitat selection and optimality in foraging; Migration, orientation
and navigation; Domestication and behavioral changes.
12. APPLIED BIOLOGY:
A. Microbial fermentation and production of small and macro molecules.
B. Application of immunological principles, vaccines, diagnostics. Tissue
and cell culture methods for plants and animals.
C. Transgenic animals and plants, molecular approaches to diagnosis and
strain identification.
D. Genomics and its application to health and agriculture, including gene
therapy.
E. Bioresource and uses of biodiversity.
F. Breeding in plants and animals, including marker – assisted selection
G. Bioremediation and phytoremediation
H. Biosensors13. METHODS IN BIOLOGY
A. Molecular Biology and Recombinant DNA methods:
Isolation and purification of RNA , DNA (genomic and plasmid) and proteins,
different separation methods.
Analysis of RNA, DNA and proteins by one and two dimensional gel
electrophoresis, Isoelectric focusing gels.
Molecular cloning of DNA or RNA fragments in bacterial and eukaryotic systems.
Expression of recombinant proteins using bacterial, animal and plant vectors.
Isolation of specific nucleic acid sequences
Generation of genomic and cDNA libraries in plasmid, phage, cosmid, BAC and YAC
vectors.
In vitro mutagenesis and deletion techniques, gene knock out in bacterial and
eukaryotic organisms.
Protein sequencing methods, detection of post translation modification of proteins.
DNA sequencing methods, strategies for genome sequencing.
Methods for analysis of gene expression at RNA and protein level, large scale
expression, such as micro array based techniques
Isolation, separation and analysis of carbohydrate and lipid molecules
RFLP, RAPD and AFLP techniques
B. Histochemical and Immunotechniques
Antibody generation, Detection of molecules using ELISA, RIA, western blot,
immunoprecipitation, fluocytometry and immunofluorescence microscopy,
detection of molecules in living cells, in situ localization by techniques such as FISH
and GISH.
C Biophysical Method:
Molecular analysis using UV/visible, fluorescence, circular dichroism, NMR and ESR
spectroscopy Molecular structure determination using X-ray diffraction and NMR,
Molecular analysis using light scattering, different types of mass spectrometry and
surface plasma resonance methods.
D Statisitcal Methods:
Measures of central tendency and dispersal; probability distributions (Binomial,
Poisson and normal); Sampling distribution; Difference between parametric and
non-parametric statistics; Confidence Interval; Errors; Levels of significance;
Regression and Correlation; t-test; Analysis of variance; X
2
test;; Basic introduction
to Muetrovariate statistics, etc.E. Radiolabeling techniques:
Detection and measurement of different types of radioisotopes normally used in
biology, incorporation of radioisotopes in biological tissues and cells, molecular
imaging of radioactive material, safety guidelines.
F. Microscopic techniques:
Visulization of cells and subcellular components by light microscopy, resolving powers
of different microscopes, microscopy of living cells, scanning and transmission
microscopes, different fixation and staining techniques for EM, freeze-etch and freezefracture methods for EM, image processing methods in microscopy.
G. Electrophysiological methods:
Single neuron recording, patch-clamp recording, ECG, Brain activity recording, lesion
and stimulation of brain, pharmacological testing, PET, MRI, fMRI, CAT .
H. Methods in field biology:
Methods of estimating population density of animals and plants, ranging patterns
through direct, indirect and remote observations, sampling methods in the study of
behavior, habitat characterization: ground and remote sensing methods.
CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship
and Lecturer-ship
COMMON SYLLABUS FOR PART ‘B’ AND ‘C’
MATHEMATICAL SCIENCES
UNIT – 1
Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a
complete ordered field, Archimedean property, supremum, infimum.
Sequences and series, convergence, limsup, liminf.
Bolzano Weierstrass theorem, Heine Borel theorem.
Continuity, uniform continuity, differentiability, mean value theorem.
Sequences and series of functions, uniform convergence.
Riemann sums and Riemann integral, Improper Integrals.
Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure,
Lebesgue integral.
Functions of several variables, directional derivative, partial derivative, derivative as a linear
transformation, inverse and implicit function theorems.
Metric spaces, compactness, connectedness. Normed linear Spaces. Spaces of continuous functions
as examples.
Linear Algebra: Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear
transformations.
Algebra of matrices, rank and determinant of matrices, linear equations.
Eigenvalues and eigenvectors, Cayley-Hamilton theorem.
Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms,
triangular forms, Jordan forms.
Inner product spaces, orthonormal basis.
Quadratic forms, reduction and classification of quadratic forms
UNIT – 2
Complex Analysis: Algebra of complex numbers, the complex plane, polynomials, power series,
transcendental functions such as exponential, trigonometric and hyperbolic functions.
Analytic functions, Cauchy-Riemann equations.
Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum
modulus principle, Schwarz lemma, Open mapping theorem.
Taylor series, Laurent series, calculus of residues.
Conformal mappings, Mobius transformations.
Algebra: Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle,
derangements.
Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem,
Euler’s Ø- function, primitive roots.
Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation
groups, Cayley’s theorem, class equations, Sylow theorems.
Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal
domain, Euclidean domain.
Polynomial rings and irreducibility criteria.
Fields, finite fields, field extensions, Galois Theory.
Topology: basis, dense sets, subspace and product topology, separation axioms, connectedness and
compactness.
UNIT – 3
Ordinary Differential Equations (ODEs):
Existence and uniqueness of solutions of initial value problems for first order ordinary differential
equations, singular solutions of first order ODEs, system of first order ODEs.
General theory of homogenous and non-homogeneous linear ODEs, variation of parameters,
Sturm-Liouville boundary value problem, Green’s function.
Partial Differential Equations (PDEs):
Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs.
Classification of second order PDEs, General solution of higher order PDEs with constant
coefficients, Method of separation of variables for Laplace, Heat and Wave equations.
Numerical Analysis :
Numerical solutions of algebraic equations, Method of iteration and Newton-Raphson method, Rate
of convergence, Solution of systems of linear algebraic equations using Gauss elimination and
Gauss-Seidel methods, Finite differences, Lagrange, Hermite and spline interpolation, Numerical
differentiation and integration, Numerical solutions of ODEs using Picard, Euler, modified Euler and
Runge-Kutta methods.
Calculus of Variations:
Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema.
Variational methods for boundary value problems in ordinary and partial differential equations.
Linear Integral Equations:
Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with
separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel.
Classical Mechanics:
Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s
principle and principle of least action, Two-dimensional motion of rigid bodies, Euler’s dynamical
equations for the motion of a rigid body about an axis, theory of small oscillations.
UNIT – 4
Descriptive statistics, exploratory data analysis
Sample space, discrete probability, independent events, Bayes theorem. Random variables and
distribution functions (univariate and multivariate); expectation and moments. Independent random
variables, marginal and conditional distributions. Characteristic functions. Probability inequalities
(Tchebyshef, Markov, Jensen). Modes of convergence, weak and strong laws of large numbers, Central
Limit theorems (i.i.d. case).
Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step
transition probabilities, stationary distribution, Poisson and birth-and-death processes.
Standard discrete and continuous univariate distributions. sampling distributions, standard errors and
asymptotic distributions, distribution of order statistics and range.
Methods of estimation, properties of estimators, confidence intervals. Tests of hypotheses: most powerful
and uniformly most powerful tests, likelihood ratio tests. Analysis of discrete data and chi-square test of
goodness of fit. Large sample tests.
Simple nonparametric tests for one and two sample problems, rank correlation and test for independence.
Elementary Bayesian inference.
Gauss-Markov models, estimability of parameters, best linear unbiased estimators, confidence intervals,
tests for linear hypotheses. Analysis of variance and covariance. Fixed, random and mixed effects models.
Simple and multiple linear regression. Elementary regression diagnostics. Logistic regression.
Multivariate normal distribution, Wishart distribution and their properties. Distribution of quadratic
forms. Inference for parameters, partial and multiple correlation coefficients and related tests. Data
reduction techniques: Principle component analysis, Discriminant analysis, Cluster analysis, Canonical
correlation.
Simple random sampling, stratified sampling and systematic sampling. Probability proportional to size
sampling. Ratio and regression methods.
Completely randomized designs, randomized block designs and Latin-square designs. Connectedness and
orthogonality of block designs, BIBD. 2K factorial experiments: confounding and construction.
Hazard function and failure rates, censoring and life testing, series and parallel systems.
Linear programming problem, simplex methods, duality. Elementary queuing and inventory models.
Steady-state solutions of Markovian queuing models: M/M/1, M/M/1 with limited waiting space, M/M/C,
M/M/C with limited waiting space, M/G/1.
All students are expected to answer questions from Unit I. Students in mathematics
are expected to answer additional question from Unit II and III. Students with in
statistics are expected to answer additional question from Unit IV.
complete ordered field, Archimedean property, supremum, infimum.
Sequences and series, convergence, limsup, liminf.
Bolzano Weierstrass theorem, Heine Borel theorem.
Continuity, uniform continuity, differentiability, mean value theorem.
Sequences and series of functions, uniform convergence.
Riemann sums and Riemann integral, Improper Integrals.
Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure,
Lebesgue integral.
Functions of several variables, directional derivative, partial derivative, derivative as a linear
transformation, inverse and implicit function theorems.
Metric spaces, compactness, connectedness. Normed linear Spaces. Spaces of continuous functions
as examples.
Linear Algebra: Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear
transformations.
Algebra of matrices, rank and determinant of matrices, linear equations.
Eigenvalues and eigenvectors, Cayley-Hamilton theorem.
Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms,
triangular forms, Jordan forms.
Inner product spaces, orthonormal basis.
Quadratic forms, reduction and classification of quadratic forms
UNIT – 2
Complex Analysis: Algebra of complex numbers, the complex plane, polynomials, power series,
transcendental functions such as exponential, trigonometric and hyperbolic functions.
Analytic functions, Cauchy-Riemann equations.
Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum
modulus principle, Schwarz lemma, Open mapping theorem.
Taylor series, Laurent series, calculus of residues.
Conformal mappings, Mobius transformations.
Algebra: Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle,
derangements.
Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem,
Euler’s Ø- function, primitive roots.
Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation
groups, Cayley’s theorem, class equations, Sylow theorems.
Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal
domain, Euclidean domain.
Polynomial rings and irreducibility criteria.
Fields, finite fields, field extensions, Galois Theory.
Topology: basis, dense sets, subspace and product topology, separation axioms, connectedness and
compactness.
UNIT – 3
Ordinary Differential Equations (ODEs):
Existence and uniqueness of solutions of initial value problems for first order ordinary differential
equations, singular solutions of first order ODEs, system of first order ODEs.
General theory of homogenous and non-homogeneous linear ODEs, variation of parameters,
Sturm-Liouville boundary value problem, Green’s function.
Partial Differential Equations (PDEs):
Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs.
Classification of second order PDEs, General solution of higher order PDEs with constant
coefficients, Method of separation of variables for Laplace, Heat and Wave equations.
Numerical Analysis :
Numerical solutions of algebraic equations, Method of iteration and Newton-Raphson method, Rate
of convergence, Solution of systems of linear algebraic equations using Gauss elimination and
Gauss-Seidel methods, Finite differences, Lagrange, Hermite and spline interpolation, Numerical
differentiation and integration, Numerical solutions of ODEs using Picard, Euler, modified Euler and
Runge-Kutta methods.
Calculus of Variations:
Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema.
Variational methods for boundary value problems in ordinary and partial differential equations.
Linear Integral Equations:
Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with
separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel.
Classical Mechanics:
Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s
principle and principle of least action, Two-dimensional motion of rigid bodies, Euler’s dynamical
equations for the motion of a rigid body about an axis, theory of small oscillations.
UNIT – 4
Descriptive statistics, exploratory data analysis
Sample space, discrete probability, independent events, Bayes theorem. Random variables and
distribution functions (univariate and multivariate); expectation and moments. Independent random
variables, marginal and conditional distributions. Characteristic functions. Probability inequalities
(Tchebyshef, Markov, Jensen). Modes of convergence, weak and strong laws of large numbers, Central
Limit theorems (i.i.d. case).
Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step
transition probabilities, stationary distribution, Poisson and birth-and-death processes.
Standard discrete and continuous univariate distributions. sampling distributions, standard errors and
asymptotic distributions, distribution of order statistics and range.
Methods of estimation, properties of estimators, confidence intervals. Tests of hypotheses: most powerful
and uniformly most powerful tests, likelihood ratio tests. Analysis of discrete data and chi-square test of
goodness of fit. Large sample tests.
Simple nonparametric tests for one and two sample problems, rank correlation and test for independence.
Elementary Bayesian inference.
Gauss-Markov models, estimability of parameters, best linear unbiased estimators, confidence intervals,
tests for linear hypotheses. Analysis of variance and covariance. Fixed, random and mixed effects models.
Simple and multiple linear regression. Elementary regression diagnostics. Logistic regression.
Multivariate normal distribution, Wishart distribution and their properties. Distribution of quadratic
forms. Inference for parameters, partial and multiple correlation coefficients and related tests. Data
reduction techniques: Principle component analysis, Discriminant analysis, Cluster analysis, Canonical
correlation.
Simple random sampling, stratified sampling and systematic sampling. Probability proportional to size
sampling. Ratio and regression methods.
Completely randomized designs, randomized block designs and Latin-square designs. Connectedness and
orthogonality of block designs, BIBD. 2K factorial experiments: confounding and construction.
Hazard function and failure rates, censoring and life testing, series and parallel systems.
Linear programming problem, simplex methods, duality. Elementary queuing and inventory models.
Steady-state solutions of Markovian queuing models: M/M/1, M/M/1 with limited waiting space, M/M/C,
M/M/C with limited waiting space, M/G/1.
All students are expected to answer questions from Unit I. Students in mathematics
are expected to answer additional question from Unit II and III. Students with in
statistics are expected to answer additional question from Unit IV.
CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship
PHYSICAL SCIENCES
PART ‘A’ CORE
I. Mathematical Methods of Physics
Dimensional analysis. Vector algebra and vector calculus. Linear algebra, matrices, Cayley-Hamilton Theorem. Eigenvalues and eigenvectors. Linear ordinary differential equations of first & second order, Special functions (Hermite, Bessel, Laguerre and Legendre functions). Fourier series, Fourier and Laplace transforms. Elements of complex analysis, analytic functions; Taylor & Laurent series; poles, residues and evaluation of integrals. Elementary probability theory, random variables, binomial, Poisson and normal distributions. Central limit theorem.
II. Classical Mechanics
Newton’s laws. Dynamical systems, Phase space dynamics, stability analysis. Central force motions. Two body Collisions - scattering in laboratory and Centre of mass frames. Rigid body dynamics- moment of inertia tensor. Non-inertial frames and pseudoforces. Variational principle. Generalized coordinates. Lagrangian and Hamiltonian formalism and equations of motion. Conservation laws and cyclic coordinates. Periodic motion: small oscillations, normal modes. Special theory of relativity- Lorentz transformations, relativistic kinematics and mass–energy equivalence.
III. Electromagnetic Theory
Electrostatics: Gauss’s law and its applications, Laplace and Poisson equations, boundary value problems. Magnetostatics: Biot-Savart law, Ampere's theorem. Electromagnetic induction. Maxwell's equations in free space and linear isotropic media; boundary conditions on the fields at interfaces. Scalar and vector potentials, gauge invariance. Electromagnetic waves in free space. Dielectrics and conductors. Reflection and refraction, polarization, Fresnel’s law, interference, coherence, and diffraction. Dynamics of charged particles in static and uniform electromagnetic fields.
IV. Quantum Mechanics
Wave-particle duality. Schrödinger equation (time-dependent and time-independent). Eigenvalue problems (particle in a box, harmonic oscillator, etc.). Tunneling through a barrier. Wave-function in coordinate and momentum representations. Commutators and Heisenberg uncertainty principle. Dirac notation for state vectors. Motion in a central potential: orbital angular momentum, angular momentum algebra, spin, addition of angular momenta; Hydrogen atom. Stern-Gerlach experiment. Time-independent perturbation theory and applications. Variational method. Time dependent perturbation theory and Fermi's golden rule, selection rules. Identical particles, Pauli exclusion principle, spin-statistics connection.
V. Thermodynamic and Statistical Physics
Laws of thermodynamics and their consequences. Thermodynamic potentials, Maxwell relations, chemical potential, phase equilibria. Phase space, micro- and macro-states. Micro-canonical, canonical
and grand-canonical ensembles and partition functions. Free energy and its connection with thermodynamic quantities. Classical and quantum statistics. Ideal Bose and Fermi gases. Principle of detailed balance. Blackbody radiation and Planck's distribution law.
VI. Electronics and Experimental Methods
Semiconductor devices (diodes, junctions, transistors, field effect devices, homo- and hetero-junction devices), device structure, device characteristics, frequency dependence and applications. Opto-electronic devices (solar cells, photo-detectors, LEDs). Operational amplifiers and their applications. Digital techniques and applications (registers, counters, comparators and similar circuits). A/D and D/A converters. Microprocessor and microcontroller basics.
Data interpretation and analysis. Precision and accuracy. Error analysis, propagation of errors. Least squares fitting,
PART ‘B’ ADVANCED
I. Mathematical Methods of Physics
Green’s function. Partial differential equations (Laplace, wave and heat equations in two and three dimensions). Elements of computational techniques: root of functions, interpolation, extrapolation, integration by trapezoid and Simpson’s rule, Solution of first order differential equation using Runge-Kutta method. Finite difference methods. Tensors. Introductory group theory: SU(2), O(3).
II. Classical Mechanics
Dynamical systems, Phase space dynamics, stability analysis. Poisson brackets and canonical transformations. Symmetry, invariance and Noether’s theorem. Hamilton-Jacobi theory.
III. Electromagnetic Theory
Dispersion relations in plasma. Lorentz invariance of Maxwell’s equation. Transmission lines and wave guides. Radiation- from moving charges and dipoles and retarded potentials.
IV. Quantum Mechanics
Spin-orbit coupling, fine structure. WKB approximation. Elementary theory of scattering: phase shifts, partial waves, Born approximation. Relativistic quantum mechanics: Klein-Gordon and Dirac equations. Semi-classical theory of radiation.
V. Thermodynamic and Statistical Physics
First- and second-order phase transitions. Diamagnetism, paramagnetism, and ferromagnetism. Ising model. Bose-Einstein condensation. Diffusion equation. Random walk and Brownian motion. Introduction to nonequilibrium processes.
VI. Electronics and Experimental Methods
Linear and nonlinear curve fitting, chi-square test. Transducers (temperature, pressure/vacuum, magnetic fields, vibration, optical, and particle detectors). Measurement and control. Signal conditioning and recovery. Impedance matching, amplification (Op-amp based, instrumentation amp, feedback), filtering
and noise reduction, shielding and grounding. Fourier transforms, lock-in detector, box-car integrator, modulation techniques.
High frequency devices (including generators and detectors).
VII. Atomic & Molecular Physics
Quantum states of an electron in an atom. Electron spin. Spectrum of helium and alkali atom. Relativistic corrections for energy levels of hydrogen atom, hyperfine structure and isotopic shift, width of spectrum lines, LS & JJ couplings. Zeeman, Paschen-Bach & Stark effects. Electron spin resonance. Nuclear magnetic resonance, chemical shift. Frank-Condon principle. Born-Oppenheimer approximation. Electronic, rotational, vibrational and Raman spectra of diatomic molecules, selection rules. Lasers: spontaneous and stimulated emission, Einstein A & B coefficients. Optical pumping, population inversion, rate equation. Modes of resonators and coherence length.
VIII. Condensed Matter Physics
Bravais lattices. Reciprocal lattice. Diffraction and the structure factor. Bonding of solids. Elastic properties, phonons, lattice specific heat. Free electron theory and electronic specific heat. Response and relaxation phenomena. Drude model of electrical and thermal conductivity. Hall effect and thermoelectric power. Electron motion in a periodic potential, band theory of solids: metals, insulators and semiconductors. Superconductivity: type-I and type-II superconductors. Josephson junctions. Superfluidity. Defects and dislocations. Ordered phases of matter: translational and orientational order, kinds of liquid crystalline order. Quasi crystals.
IX. Nuclear and Particle Physics
Basic nuclear properties: size, shape and charge distribution, spin and parity. Binding energy, semi-empirical mass formula, liquid drop model. Nature of the nuclear force, form of nucleon-nucleon potential, charge-independence and charge-symmetry of nuclear forces. Deuteron problem. Evidence of shell structure, single-particle shell model, its validity and limitations. Rotational spectra. Elementary ideas of alpha, beta and gamma decays and their selection rules. Fission and fusion. Nuclear reactions, reaction mechanism, compound nuclei and direct reactions.
Classification of fundamental forces. Elementary particles and their quantum numbers (charge, spin, parity, isospin, strangeness, etc.). Gellmann-Nishijima formula. Quark model, baryons and mesons. C, P, and T invariance. Application of symmetry arguments to particle reactions. Parity non-conservation in weak interaction. Relativistic kinematics.
Dimensional analysis. Vector algebra and vector calculus. Linear algebra, matrices, Cayley-Hamilton Theorem. Eigenvalues and eigenvectors. Linear ordinary differential equations of first & second order, Special functions (Hermite, Bessel, Laguerre and Legendre functions). Fourier series, Fourier and Laplace transforms. Elements of complex analysis, analytic functions; Taylor & Laurent series; poles, residues and evaluation of integrals. Elementary probability theory, random variables, binomial, Poisson and normal distributions. Central limit theorem.
II. Classical Mechanics
Newton’s laws. Dynamical systems, Phase space dynamics, stability analysis. Central force motions. Two body Collisions - scattering in laboratory and Centre of mass frames. Rigid body dynamics- moment of inertia tensor. Non-inertial frames and pseudoforces. Variational principle. Generalized coordinates. Lagrangian and Hamiltonian formalism and equations of motion. Conservation laws and cyclic coordinates. Periodic motion: small oscillations, normal modes. Special theory of relativity- Lorentz transformations, relativistic kinematics and mass–energy equivalence.
III. Electromagnetic Theory
Electrostatics: Gauss’s law and its applications, Laplace and Poisson equations, boundary value problems. Magnetostatics: Biot-Savart law, Ampere's theorem. Electromagnetic induction. Maxwell's equations in free space and linear isotropic media; boundary conditions on the fields at interfaces. Scalar and vector potentials, gauge invariance. Electromagnetic waves in free space. Dielectrics and conductors. Reflection and refraction, polarization, Fresnel’s law, interference, coherence, and diffraction. Dynamics of charged particles in static and uniform electromagnetic fields.
IV. Quantum Mechanics
Wave-particle duality. Schrödinger equation (time-dependent and time-independent). Eigenvalue problems (particle in a box, harmonic oscillator, etc.). Tunneling through a barrier. Wave-function in coordinate and momentum representations. Commutators and Heisenberg uncertainty principle. Dirac notation for state vectors. Motion in a central potential: orbital angular momentum, angular momentum algebra, spin, addition of angular momenta; Hydrogen atom. Stern-Gerlach experiment. Time-independent perturbation theory and applications. Variational method. Time dependent perturbation theory and Fermi's golden rule, selection rules. Identical particles, Pauli exclusion principle, spin-statistics connection.
V. Thermodynamic and Statistical Physics
Laws of thermodynamics and their consequences. Thermodynamic potentials, Maxwell relations, chemical potential, phase equilibria. Phase space, micro- and macro-states. Micro-canonical, canonical
and grand-canonical ensembles and partition functions. Free energy and its connection with thermodynamic quantities. Classical and quantum statistics. Ideal Bose and Fermi gases. Principle of detailed balance. Blackbody radiation and Planck's distribution law.
VI. Electronics and Experimental Methods
Semiconductor devices (diodes, junctions, transistors, field effect devices, homo- and hetero-junction devices), device structure, device characteristics, frequency dependence and applications. Opto-electronic devices (solar cells, photo-detectors, LEDs). Operational amplifiers and their applications. Digital techniques and applications (registers, counters, comparators and similar circuits). A/D and D/A converters. Microprocessor and microcontroller basics.
Data interpretation and analysis. Precision and accuracy. Error analysis, propagation of errors. Least squares fitting,
PART ‘B’ ADVANCED
I. Mathematical Methods of Physics
Green’s function. Partial differential equations (Laplace, wave and heat equations in two and three dimensions). Elements of computational techniques: root of functions, interpolation, extrapolation, integration by trapezoid and Simpson’s rule, Solution of first order differential equation using Runge-Kutta method. Finite difference methods. Tensors. Introductory group theory: SU(2), O(3).
II. Classical Mechanics
Dynamical systems, Phase space dynamics, stability analysis. Poisson brackets and canonical transformations. Symmetry, invariance and Noether’s theorem. Hamilton-Jacobi theory.
III. Electromagnetic Theory
Dispersion relations in plasma. Lorentz invariance of Maxwell’s equation. Transmission lines and wave guides. Radiation- from moving charges and dipoles and retarded potentials.
IV. Quantum Mechanics
Spin-orbit coupling, fine structure. WKB approximation. Elementary theory of scattering: phase shifts, partial waves, Born approximation. Relativistic quantum mechanics: Klein-Gordon and Dirac equations. Semi-classical theory of radiation.
V. Thermodynamic and Statistical Physics
First- and second-order phase transitions. Diamagnetism, paramagnetism, and ferromagnetism. Ising model. Bose-Einstein condensation. Diffusion equation. Random walk and Brownian motion. Introduction to nonequilibrium processes.
VI. Electronics and Experimental Methods
Linear and nonlinear curve fitting, chi-square test. Transducers (temperature, pressure/vacuum, magnetic fields, vibration, optical, and particle detectors). Measurement and control. Signal conditioning and recovery. Impedance matching, amplification (Op-amp based, instrumentation amp, feedback), filtering
and noise reduction, shielding and grounding. Fourier transforms, lock-in detector, box-car integrator, modulation techniques.
High frequency devices (including generators and detectors).
VII. Atomic & Molecular Physics
Quantum states of an electron in an atom. Electron spin. Spectrum of helium and alkali atom. Relativistic corrections for energy levels of hydrogen atom, hyperfine structure and isotopic shift, width of spectrum lines, LS & JJ couplings. Zeeman, Paschen-Bach & Stark effects. Electron spin resonance. Nuclear magnetic resonance, chemical shift. Frank-Condon principle. Born-Oppenheimer approximation. Electronic, rotational, vibrational and Raman spectra of diatomic molecules, selection rules. Lasers: spontaneous and stimulated emission, Einstein A & B coefficients. Optical pumping, population inversion, rate equation. Modes of resonators and coherence length.
VIII. Condensed Matter Physics
Bravais lattices. Reciprocal lattice. Diffraction and the structure factor. Bonding of solids. Elastic properties, phonons, lattice specific heat. Free electron theory and electronic specific heat. Response and relaxation phenomena. Drude model of electrical and thermal conductivity. Hall effect and thermoelectric power. Electron motion in a periodic potential, band theory of solids: metals, insulators and semiconductors. Superconductivity: type-I and type-II superconductors. Josephson junctions. Superfluidity. Defects and dislocations. Ordered phases of matter: translational and orientational order, kinds of liquid crystalline order. Quasi crystals.
IX. Nuclear and Particle Physics
Basic nuclear properties: size, shape and charge distribution, spin and parity. Binding energy, semi-empirical mass formula, liquid drop model. Nature of the nuclear force, form of nucleon-nucleon potential, charge-independence and charge-symmetry of nuclear forces. Deuteron problem. Evidence of shell structure, single-particle shell model, its validity and limitations. Rotational spectra. Elementary ideas of alpha, beta and gamma decays and their selection rules. Fission and fusion. Nuclear reactions, reaction mechanism, compound nuclei and direct reactions.
Classification of fundamental forces. Elementary particles and their quantum numbers (charge, spin, parity, isospin, strangeness, etc.). Gellmann-Nishijima formula. Quark model, baryons and mesons. C, P, and T invariance. Application of symmetry arguments to particle reactions. Parity non-conservation in weak interaction. Relativistic kinematics.
CSIR-UGC (NET) EXAM FOR AWARD OF JUNIOR RESEARCH
FELLOWSHIP AND ELIGIBILITY FOR LECTURERSHIP
EXAM SCHEME FOR SINGLE PAPER CSIR-UGC NET in Engineering Sciences
The pattern for the Single Paper MCQ test in Engineering Sciences shall be as given below:-
The MCQ test paper in Engineering Science shall carry a maximum of 200 marks. The
duration of exam shall be three hours. The question paper shall be divided in three parts
Part ‘A’. This part shall carry 20 questions of General Aptitude (Logical reasoning,
graphical analysis, analytical and numerical ability, quantitative comparisons, series
formation, puzzles, etc). Candidates shall be required to answer any 15 questions. Each
question shall be of 2 marks. Total marks allocated to this section shall be 30 out of 200.
----------------------------------------------------------------------------------------------------------------
Part ‘B’: This part shall contain 25 questions related to Mathematics and Engineering
Aptitude. Candidates shall be required to answer any 20 questions. Each question shall be of
3.5 marks. Total marks allocated to this section shall be 70 out of 200.
----------------------------------------------------------------------------------------------------------------
Part ‘C’ shall contain subject related questions of the following 7 subject areas :
1. Computer Science & Information Technology
2 Electrical Science
3. Electronics
4. Materials Science
5. Fluid Mechanics
6. Solid Mechanics
7. Thermodynamics
Each subject area will have 10 questions. Candidates shall be required to answer any 20
questions out of a total of 70 questions. Each question shall be of 5 marks. The total marks
allocated to this part shall be 100 out of 200.
Negative marking for wrong answers shall be @ 25%
NB: The actual number of questions in each Part and Section to be asked and attempted may
vary from exam to exam.
SYLLABUS PART A
General aptitude with emphasis on logical reasoning, graphical analysis, analytical and
numerical ability, quantitative comparisons, series formation, puzzles, etc.
SYLLABUS PART B
Mathematics And Engineering Aptitude
Linear Algebra
Calculus
Complex variables
Vector Calculus
Ordinary Differential
Algebra of matrices, inverse, rank, system of linear equations,
symmetric, skew-symmetric and orthogonal matrices. Hermitian,
skew-Hermitian and unitary matrices. eigenvalues and
eigenvectors, diagonalisation of matrices.
Functions of single variable, limit, continuity and differentiability,
Mean value theorems, Indeterminate forms and L'Hospital rule,
Maxima and minima, Taylor's series, Newton’s method for finding
roots of polynomials. Fundamental and mean value-theorems of
integral calculus. Numerical integration by trapezoidal and
Simpson’s rule. Evaluation of definite and improper integrals,
Beta and Gamma functions, Functions of two variables, limit,
continuity, partial derivatives, Euler's theorem for homogeneous
functions, total derivatives, maxima and minima, Lagrange method
of multipliers, double integrals and their applications, sequence and
series, tests for convergence, power series, Fourier Series, Half
range sine and cosine series.
Analytic functions, Cauchy-Riemann equations, Line integral,
Cauchy's integral theorem and integral formula Taylor’s and
Laurent' series, Residue theorem and its applications.
Gradient, divergence and curl, vector identities, directional
derivatives, line, surface and volume integrals, Stokes, Gauss and
Green's theorems and their applications.
First order equation (linear and nonlinear), Second order linear
differential equations with variable coefficients, Variation of
Equations
Probability
parameters method, higher order linear differential equations with
constant coefficients, Cauchy-Euler's equations, power series
solutions, Legendre polynomials and Bessel's functions of the first
kind and their properties. Numerical solutions of first order
ordinary differential equations by Euler’s and Runge-Kutta
methods.
Definitions of probability and simple theorems, conditional
probability, Bayes Theorem.
Solid Body Motion and
Fluid Motion:
Energetics:
Electron Transport:
Electromagnetics:
Materials:
Particle dynamics; Projectiles; Rigid Body Dynamics; Lagrangian
formulation; Eularian formulation; Bernoulli’s Equation;
Continuity equation; Surface tension; Viscosity; Brownian Motion.
Laws of Thermodynamics; Concept of Free energy; Enthalpy, and
Entropy; Equation of State; Thermodynamics relations.
Structure of atoms, Concept of energy level, Bond Theory;
Definition of conduction, Semiconductor and Insulators; Diode;
Half wave & Full wave rectification; Amplifiers & Oscillators;
Truth Table.
Theory of Electric and Magnetic potential & field; Biot & Savart’s
Law; Theory of Dipole; Theory of Oscillation of electron;
Maxwell’s equations; Transmission theory; Amplitude &
Frequency Modulation.
Periodic table; Properties of elements; Reaction of materials;
Metals and non-Metals (Inorganic materials), Elementary
knowledge of monomeric and polymeric compounds;
Organometallic compounds; Crystal structure and symmetry,
Structure-property correlation-metals, ceramics, and polymers.
SYLLABUS PART C
1. COMPUTER SCIENCE AND INFORMATION TECHNOLOGY
Basic Discrete Mathematics: Counting principles, linear recurrence, mathematical induction,
equation sets, relations and function, predicate and propositional logic.
Digital Logic:
Logic functions, Minimization, Design and synthesis of combinational and sequential circuits;
Number representation and computer arithmetic (fixed and floating point).
Computer Organization and Architecture:
Machine instructions and addressing modes, ALU and data-path, CPU control design, Memory
interface, I/O interface (Interrupt and DMA mode), Instruction pipelining, Cache and main
memory, Secondary storage.
Programming and Data Structures:
Programming in C; Functions, Recursion, Parameter passing, Scope, Binding; Abstract data
types, Arrays, Stacks, Queues, Linked Lists, Trees, Binary search trees, Binary heaps.
Algorithms:
Analysis, Asymptotic notation, Notions of space and time complexity, Worst and average case
analysis; Design: Greedy approach, Dynamic programming, Divide-and conquer; Tree and graph
traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching.
Asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds,
Basic concepts of complexity classes P, NP, NP-hard, NP-complete.
Operating System:
Processes, Threads, Inter-process communication, Concurrency, Synchronization, Deadlock,
CPU scheduling, Memory management and virtual memory, File systems.
Databases:
ER-model, Relational model (relational algebra, tuple calculus), Database design (integrity
constraints, normal forms), Query languages (SQL), File structures (sequential files, indexing, B
and B+ trees), Transactions and concurrency control.
Information Systems and Software Engineering:
information gathering, requirement and feasibility analysis, data flow diagrams, process
specifications, input/output design, process life cycle, planning and managing the project, design,
coding, testing, implementation, maintenance.
2. ELECTRICAL SCIENCES
Electric Circuits and Fields:
Node and mesh analysis, transient response of dc and ac networks, sinusoidal steady-state
analysis, resonance, basic filter concepts, ideal current and voltage sources, Thevenin’s,
Norton’s and Superposition and Maximum Power Transfer theorems, two port networks, three
phase circuits, measurement of power in three phase circuits, Gauss Theorem, electric field and
potential due to point, line, plane and spherical charge distributions, Ampere’s and Biot-Savart’s
laws, inductance, dielectrics , capacitance.
Electrical Machines: Magnetic circuits
Magnetic circuits, Single phase transformer- equivalent circuit, phasor diagram, tests, regulation
and efficiency, Three phase transformers- connections, parallel operation, auto-transformer;
energy conversion principles, DC Machines- types , starting and speed control of dc motors,
Three phase induction motors- principles, types, performance characteristics, starting and speed
control , Single phase induction motors, synchronous machines performance, regulation and
parallel operation of synchronous machine operating as generators, starting and speed control of
synchronous motors and its applications, servo and stepper motors.
Power Systems:
Basic power generation concepts, transmission line models and performance, cable performance,
insulation, corona and radio interference , Distribution systems, per-unit quantities, bus
impedance and admittance matrices, load flow, voltage and frequency control, power factor
correction; unbalanced analysis, symmetrical components, basic concepts of protection and
stability; Introduction to HVDC systems.
Control Systems:
Principles of feedback control, transfer function, block diagrams, steady state errors, Routh and
Nyquist techniques, Bode plots, Root loci, Lag , Lead and Lead-lag compensation; proportional,
PI, PID controllers, state space model , state transition matrix, controllability and observability.
Power Electronics and Drives:
Semiconductor Power devices - power diodes, power transistors, thyristors, triacs, GTOs,
MOSFETs, IGBTs – their characteristics and basic triggering circuits; diode rectifiers, thyristor
based line commutated ac to dc converters, dc to dc converters – buck, boost, buck-boost, c`uk,
flyback, forward, push-pull converters, single phase and three phase dc to ac inverters and
related pulse width modulation techniques, stability of electric drives; speed control issues of dc
motors, induction motors and synchronous motors.
3. ELECTRONICS
Analog Circuits and Systems:
Electronic devices: characteristics and small-signal equivalent circuits of diodes, BJTs and
MOSFETs. Diode circuits: clipping, clamping and rectifier. Biasing and bias stability of BJT and
FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and
power. Frequency response of amplifiers. Op-amp circuits: voltage-to-current and current-tovoltage
converters, active filters, sinusoidal oscillators, wave-shaping circuits, effect of practical
parameters (input bias current, input offset voltage, open loop gain, input resistance, CMRR).
Electronic measurements: voltage, current, impedance, time, phase, frequency measurements,
oscilloscope.
Digital Circuits and Systems:
Boolean algebra and minimization of Boolean functions. Logic gates, TTL and CMOS IC
families. Combinatorial circuits: arithmetic circuits, code converters, multiplexers and decoders.
Sequential circuits: latches and flip-flops, counters and shift-registers. Sample-and-hold
circuits,ADCs, DACs. Microprocessors and microcontrollers: number systems, 8085 and 8051
architecture, memory, I/O interfacing, Serial and parallel communication.
Signals and Systems:
Linear time invariant systems: impulse response, transfer function and frequency response of
first- and second order systems, convolution. Random signals and noise: probability, random
variables, probability density function, autocorrelation, power spectral density. Sampling
theorem, Discrete-time systems: impulse and frequency response, IIR and FIR filters.
Communications:
Amplitude and angle modulation and demodulation, frequency and time division multiplexing.
Pulse code modulation, amplitude shift keying, frequency shift keying and pulse shift keying for
digital modulation. Bandwidth and SNR calculations. Information theory and channel capacity.
4. MATERIALS SCIENCE
Structure:
Atomic structure and bonding in materials. Crystal structure of materials, crystal systems, unit
cells and space lattices, miller indices of planes and directions, packing geometry in metallic,
ionic and covalent solids. Concept of amorphous, single and polycrystalline structures and their
effect on properties of materials. Imperfections in crystalline solids and their role in influencing
various properties.
Diffusion: Fick's laws and application of diffusion.
Metals and Alloys:
Solid solutions, solubility limit, phase rule, binary phase diagrams, intermediate phases,
intermetallic compounds, iron-iron carbide phase diagram, heat treatment of steels, cold, hot
working of metals, recovery, recrystallization and grain growth. Microstrcture, properties and
applications of ferrous and non-ferrous alloys.
Ceramics, Polymers, & Composites:
Structure, properties, processing and applications of ceramics. Classification, polymerization,
structure and properties, processing and applications. Properties and applications of various
composites.
Materials Characterization Tools:
X-ray diffraction, optical microscopy, scanning electron microscopy and transmission electron
microscopy, differential thermal analysis, differential scanning calorimetry.
Materials Properties:
Stress-strain diagrams of metallic, ceramic and polymeric materials, modulus of elasticity, yield
strength, tensile strength, toughness, elongation, plastic deformation, viscoelasticity, hardness,
impact strength, creep, fatigue, ductile and brittle fracture.
Heat capacity, thermal conductivity, thermal expansion of materials. Concept of energy band
diagram for materials - conductors, semiconductors and insulators, intrinsic and extrinsic
semiconductors, dielectric properties. Origin of magnetism in metallic and ceramic materials,
paramagnetism, diamagnetism, antiferro magnetism, ferromagnetism, ferrimagnetism, magnetic
hysterisis.
Environmental Degradation:
Corrosion and oxidation of materials, prevention.
5. FLUID MECHANICS
Fluid Properties:
Relation between stress and strain rate for Newtonian fluids; Buoyancy, manometry, forces on
submerged bodies.
Kinematics
Eulerian and Lagrangian description of fluid motion, strain rate and vorticity; concept of local
and convective accelerations, steady and unsteady flows
Control Volume Based Analysis
Control volume analysis for mass, momentum and energy.
Differential equations of mass and momentum (Euler equation), Bernoulli's equation and its
applications, Concept of fluid rotation.
Potential flow:
Vorticity, Stream function and Velocity potential function; Elementary flow fields and principles
of superposition, potential flow past a circular cylinder.
Dimensional analysis:
Concept of geometric, kinematic and dynamic similarity, Non-dimensional numbers and their
usage.
Viscous Flows
Navier-Stokes Equations; Exact Solutions; Couette Flow, Fully-developed pipe flow,
Hydrodynamic lubrication, Basic ideas of Laminar and Turbulent flows, Prandtl-mixing length,
Friction factor, Darcy-Weisbach relation, Simple pipe networks.
Boundary Layer
Qualitative ideas of boundary layer, Boundary Layer Equation; Separation, Streamlined and
bluff bodies, drag and lift forces.
Measurements
Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate.
6. SOLID MECHANICS
Equivalent force systems; free-body diagrams; equilibrium equations; analysis of determinate
trusses and frames; friction; simple particle dynamics; plane kinematics and kinetics; workenergy
and impulse-momentum principles;
Stresses and strains; principal stresses and strains; Mohr's circle; generalized Hooke's Law;
thermal strain.
Axial, shear and bending moment diagrams; axial, shear and bending stresses; deflection of
beams (symmetric bending); Torsion in circular shafts; thin walled pressure vessels. Energy
methods (Catigliano’s theorems) for analysis.
Combined axial, bending and torsional action; Theories of failure.
Buckling of columns.
Free vibration of single degree of freedom systems.
7. THERMODYNAMICS
Basic Concepts:
Continuum, macroscopic approach, thermodynamic system (closed and open or control volume);
thermodynamic properties and equilibrium; state of a system, state diagram, path and process;
different modes of work; Zeroth law of thermodynamics; concept of temperature; heat.
First Law of Thermodynamics:
Energy, enthalpy, specific heats, first law applied to closed systems and open systems (control
volumes), steady and unsteady flow analysis.
Second Law of Thermodynamics:
Kelvin-Planck and Clausius statements, reversible and irreversible processes, Carnot theorems,
thermodynamic temperature scale, Clausius inequality and concept of entropy, principle of
increase of entropy, entropy balance for closed and open systems, exergy (availability) and
irreversibility, non-flow and flow exergy.
Properties of Pure Substances:
Thermodynamic properties of pure substances in solid, liquid and vapor phases, P-V-T behaviour
of simple compressible substances, phase rule, thermodynamic property tables and charts, ideal
and real gases, equations of state, compressibility chart.
Thermodynamic Relations:
T-ds relations, Maxwell equations, Joule-Thomson coefficient, coefficient of volume expansion,
adiabatic and isothermal compressibilities, Clapeyron equation.
Thermodynamic cycles:
Carnot vapour power cycle; simple Rankine cycle, reheat and regenerative Rankine cycle; Air
standard cycles: Otto cycle, Diesel cycle, simple Brayton cycle, Brayton cycle with regeneration,
reheat and intercooling; vapour-compression refrigeration cycle.
Ideal Gas Mixtures:
Dalton's and Amagat's laws, calculations of properties (internal energy, enthalpy, entropy), airwater
vapour mixtures and simple thermodynamic processes involving them.
The MCQ test paper in Engineering Science shall carry a maximum of 200 marks. The
duration of exam shall be three hours. The question paper shall be divided in three parts
Part ‘A’. This part shall carry 20 questions of General Aptitude (Logical reasoning,
graphical analysis, analytical and numerical ability, quantitative comparisons, series
formation, puzzles, etc). Candidates shall be required to answer any 15 questions. Each
question shall be of 2 marks. Total marks allocated to this section shall be 30 out of 200.
----------------------------------------------------------------------------------------------------------------
Part ‘B’: This part shall contain 25 questions related to Mathematics and Engineering
Aptitude. Candidates shall be required to answer any 20 questions. Each question shall be of
3.5 marks. Total marks allocated to this section shall be 70 out of 200.
----------------------------------------------------------------------------------------------------------------
Part ‘C’ shall contain subject related questions of the following 7 subject areas :
1. Computer Science & Information Technology
2 Electrical Science
3. Electronics
4. Materials Science
5. Fluid Mechanics
6. Solid Mechanics
7. Thermodynamics
Each subject area will have 10 questions. Candidates shall be required to answer any 20
questions out of a total of 70 questions. Each question shall be of 5 marks. The total marks
allocated to this part shall be 100 out of 200.
Negative marking for wrong answers shall be @ 25%
NB: The actual number of questions in each Part and Section to be asked and attempted may
vary from exam to exam.
SYLLABUS PART A
General aptitude with emphasis on logical reasoning, graphical analysis, analytical and
numerical ability, quantitative comparisons, series formation, puzzles, etc.
SYLLABUS PART B
Mathematics And Engineering Aptitude
Linear Algebra
Calculus
Complex variables
Vector Calculus
Ordinary Differential
Algebra of matrices, inverse, rank, system of linear equations,
symmetric, skew-symmetric and orthogonal matrices. Hermitian,
skew-Hermitian and unitary matrices. eigenvalues and
eigenvectors, diagonalisation of matrices.
Functions of single variable, limit, continuity and differentiability,
Mean value theorems, Indeterminate forms and L'Hospital rule,
Maxima and minima, Taylor's series, Newton’s method for finding
roots of polynomials. Fundamental and mean value-theorems of
integral calculus. Numerical integration by trapezoidal and
Simpson’s rule. Evaluation of definite and improper integrals,
Beta and Gamma functions, Functions of two variables, limit,
continuity, partial derivatives, Euler's theorem for homogeneous
functions, total derivatives, maxima and minima, Lagrange method
of multipliers, double integrals and their applications, sequence and
series, tests for convergence, power series, Fourier Series, Half
range sine and cosine series.
Analytic functions, Cauchy-Riemann equations, Line integral,
Cauchy's integral theorem and integral formula Taylor’s and
Laurent' series, Residue theorem and its applications.
Gradient, divergence and curl, vector identities, directional
derivatives, line, surface and volume integrals, Stokes, Gauss and
Green's theorems and their applications.
First order equation (linear and nonlinear), Second order linear
differential equations with variable coefficients, Variation of
Equations
Probability
parameters method, higher order linear differential equations with
constant coefficients, Cauchy-Euler's equations, power series
solutions, Legendre polynomials and Bessel's functions of the first
kind and their properties. Numerical solutions of first order
ordinary differential equations by Euler’s and Runge-Kutta
methods.
Definitions of probability and simple theorems, conditional
probability, Bayes Theorem.
Solid Body Motion and
Fluid Motion:
Energetics:
Electron Transport:
Electromagnetics:
Materials:
Particle dynamics; Projectiles; Rigid Body Dynamics; Lagrangian
formulation; Eularian formulation; Bernoulli’s Equation;
Continuity equation; Surface tension; Viscosity; Brownian Motion.
Laws of Thermodynamics; Concept of Free energy; Enthalpy, and
Entropy; Equation of State; Thermodynamics relations.
Structure of atoms, Concept of energy level, Bond Theory;
Definition of conduction, Semiconductor and Insulators; Diode;
Half wave & Full wave rectification; Amplifiers & Oscillators;
Truth Table.
Theory of Electric and Magnetic potential & field; Biot & Savart’s
Law; Theory of Dipole; Theory of Oscillation of electron;
Maxwell’s equations; Transmission theory; Amplitude &
Frequency Modulation.
Periodic table; Properties of elements; Reaction of materials;
Metals and non-Metals (Inorganic materials), Elementary
knowledge of monomeric and polymeric compounds;
Organometallic compounds; Crystal structure and symmetry,
Structure-property correlation-metals, ceramics, and polymers.
SYLLABUS PART C
1. COMPUTER SCIENCE AND INFORMATION TECHNOLOGY
Basic Discrete Mathematics: Counting principles, linear recurrence, mathematical induction,
equation sets, relations and function, predicate and propositional logic.
Digital Logic:
Logic functions, Minimization, Design and synthesis of combinational and sequential circuits;
Number representation and computer arithmetic (fixed and floating point).
Computer Organization and Architecture:
Machine instructions and addressing modes, ALU and data-path, CPU control design, Memory
interface, I/O interface (Interrupt and DMA mode), Instruction pipelining, Cache and main
memory, Secondary storage.
Programming and Data Structures:
Programming in C; Functions, Recursion, Parameter passing, Scope, Binding; Abstract data
types, Arrays, Stacks, Queues, Linked Lists, Trees, Binary search trees, Binary heaps.
Algorithms:
Analysis, Asymptotic notation, Notions of space and time complexity, Worst and average case
analysis; Design: Greedy approach, Dynamic programming, Divide-and conquer; Tree and graph
traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching.
Asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds,
Basic concepts of complexity classes P, NP, NP-hard, NP-complete.
Operating System:
Processes, Threads, Inter-process communication, Concurrency, Synchronization, Deadlock,
CPU scheduling, Memory management and virtual memory, File systems.
Databases:
ER-model, Relational model (relational algebra, tuple calculus), Database design (integrity
constraints, normal forms), Query languages (SQL), File structures (sequential files, indexing, B
and B+ trees), Transactions and concurrency control.
Information Systems and Software Engineering:
information gathering, requirement and feasibility analysis, data flow diagrams, process
specifications, input/output design, process life cycle, planning and managing the project, design,
coding, testing, implementation, maintenance.
2. ELECTRICAL SCIENCES
Electric Circuits and Fields:
Node and mesh analysis, transient response of dc and ac networks, sinusoidal steady-state
analysis, resonance, basic filter concepts, ideal current and voltage sources, Thevenin’s,
Norton’s and Superposition and Maximum Power Transfer theorems, two port networks, three
phase circuits, measurement of power in three phase circuits, Gauss Theorem, electric field and
potential due to point, line, plane and spherical charge distributions, Ampere’s and Biot-Savart’s
laws, inductance, dielectrics , capacitance.
Electrical Machines: Magnetic circuits
Magnetic circuits, Single phase transformer- equivalent circuit, phasor diagram, tests, regulation
and efficiency, Three phase transformers- connections, parallel operation, auto-transformer;
energy conversion principles, DC Machines- types , starting and speed control of dc motors,
Three phase induction motors- principles, types, performance characteristics, starting and speed
control , Single phase induction motors, synchronous machines performance, regulation and
parallel operation of synchronous machine operating as generators, starting and speed control of
synchronous motors and its applications, servo and stepper motors.
Power Systems:
Basic power generation concepts, transmission line models and performance, cable performance,
insulation, corona and radio interference , Distribution systems, per-unit quantities, bus
impedance and admittance matrices, load flow, voltage and frequency control, power factor
correction; unbalanced analysis, symmetrical components, basic concepts of protection and
stability; Introduction to HVDC systems.
Control Systems:
Principles of feedback control, transfer function, block diagrams, steady state errors, Routh and
Nyquist techniques, Bode plots, Root loci, Lag , Lead and Lead-lag compensation; proportional,
PI, PID controllers, state space model , state transition matrix, controllability and observability.
Power Electronics and Drives:
Semiconductor Power devices - power diodes, power transistors, thyristors, triacs, GTOs,
MOSFETs, IGBTs – their characteristics and basic triggering circuits; diode rectifiers, thyristor
based line commutated ac to dc converters, dc to dc converters – buck, boost, buck-boost, c`uk,
flyback, forward, push-pull converters, single phase and three phase dc to ac inverters and
related pulse width modulation techniques, stability of electric drives; speed control issues of dc
motors, induction motors and synchronous motors.
3. ELECTRONICS
Analog Circuits and Systems:
Electronic devices: characteristics and small-signal equivalent circuits of diodes, BJTs and
MOSFETs. Diode circuits: clipping, clamping and rectifier. Biasing and bias stability of BJT and
FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and
power. Frequency response of amplifiers. Op-amp circuits: voltage-to-current and current-tovoltage
converters, active filters, sinusoidal oscillators, wave-shaping circuits, effect of practical
parameters (input bias current, input offset voltage, open loop gain, input resistance, CMRR).
Electronic measurements: voltage, current, impedance, time, phase, frequency measurements,
oscilloscope.
Digital Circuits and Systems:
Boolean algebra and minimization of Boolean functions. Logic gates, TTL and CMOS IC
families. Combinatorial circuits: arithmetic circuits, code converters, multiplexers and decoders.
Sequential circuits: latches and flip-flops, counters and shift-registers. Sample-and-hold
circuits,ADCs, DACs. Microprocessors and microcontrollers: number systems, 8085 and 8051
architecture, memory, I/O interfacing, Serial and parallel communication.
Signals and Systems:
Linear time invariant systems: impulse response, transfer function and frequency response of
first- and second order systems, convolution. Random signals and noise: probability, random
variables, probability density function, autocorrelation, power spectral density. Sampling
theorem, Discrete-time systems: impulse and frequency response, IIR and FIR filters.
Communications:
Amplitude and angle modulation and demodulation, frequency and time division multiplexing.
Pulse code modulation, amplitude shift keying, frequency shift keying and pulse shift keying for
digital modulation. Bandwidth and SNR calculations. Information theory and channel capacity.
4. MATERIALS SCIENCE
Structure:
Atomic structure and bonding in materials. Crystal structure of materials, crystal systems, unit
cells and space lattices, miller indices of planes and directions, packing geometry in metallic,
ionic and covalent solids. Concept of amorphous, single and polycrystalline structures and their
effect on properties of materials. Imperfections in crystalline solids and their role in influencing
various properties.
Diffusion: Fick's laws and application of diffusion.
Metals and Alloys:
Solid solutions, solubility limit, phase rule, binary phase diagrams, intermediate phases,
intermetallic compounds, iron-iron carbide phase diagram, heat treatment of steels, cold, hot
working of metals, recovery, recrystallization and grain growth. Microstrcture, properties and
applications of ferrous and non-ferrous alloys.
Ceramics, Polymers, & Composites:
Structure, properties, processing and applications of ceramics. Classification, polymerization,
structure and properties, processing and applications. Properties and applications of various
composites.
Materials Characterization Tools:
X-ray diffraction, optical microscopy, scanning electron microscopy and transmission electron
microscopy, differential thermal analysis, differential scanning calorimetry.
Materials Properties:
Stress-strain diagrams of metallic, ceramic and polymeric materials, modulus of elasticity, yield
strength, tensile strength, toughness, elongation, plastic deformation, viscoelasticity, hardness,
impact strength, creep, fatigue, ductile and brittle fracture.
Heat capacity, thermal conductivity, thermal expansion of materials. Concept of energy band
diagram for materials - conductors, semiconductors and insulators, intrinsic and extrinsic
semiconductors, dielectric properties. Origin of magnetism in metallic and ceramic materials,
paramagnetism, diamagnetism, antiferro magnetism, ferromagnetism, ferrimagnetism, magnetic
hysterisis.
Environmental Degradation:
Corrosion and oxidation of materials, prevention.
5. FLUID MECHANICS
Fluid Properties:
Relation between stress and strain rate for Newtonian fluids; Buoyancy, manometry, forces on
submerged bodies.
Kinematics
Eulerian and Lagrangian description of fluid motion, strain rate and vorticity; concept of local
and convective accelerations, steady and unsteady flows
Control Volume Based Analysis
Control volume analysis for mass, momentum and energy.
Differential equations of mass and momentum (Euler equation), Bernoulli's equation and its
applications, Concept of fluid rotation.
Potential flow:
Vorticity, Stream function and Velocity potential function; Elementary flow fields and principles
of superposition, potential flow past a circular cylinder.
Dimensional analysis:
Concept of geometric, kinematic and dynamic similarity, Non-dimensional numbers and their
usage.
Viscous Flows
Navier-Stokes Equations; Exact Solutions; Couette Flow, Fully-developed pipe flow,
Hydrodynamic lubrication, Basic ideas of Laminar and Turbulent flows, Prandtl-mixing length,
Friction factor, Darcy-Weisbach relation, Simple pipe networks.
Boundary Layer
Qualitative ideas of boundary layer, Boundary Layer Equation; Separation, Streamlined and
bluff bodies, drag and lift forces.
Measurements
Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate.
6. SOLID MECHANICS
Equivalent force systems; free-body diagrams; equilibrium equations; analysis of determinate
trusses and frames; friction; simple particle dynamics; plane kinematics and kinetics; workenergy
and impulse-momentum principles;
Stresses and strains; principal stresses and strains; Mohr's circle; generalized Hooke's Law;
thermal strain.
Axial, shear and bending moment diagrams; axial, shear and bending stresses; deflection of
beams (symmetric bending); Torsion in circular shafts; thin walled pressure vessels. Energy
methods (Catigliano’s theorems) for analysis.
Combined axial, bending and torsional action; Theories of failure.
Buckling of columns.
Free vibration of single degree of freedom systems.
7. THERMODYNAMICS
Basic Concepts:
Continuum, macroscopic approach, thermodynamic system (closed and open or control volume);
thermodynamic properties and equilibrium; state of a system, state diagram, path and process;
different modes of work; Zeroth law of thermodynamics; concept of temperature; heat.
First Law of Thermodynamics:
Energy, enthalpy, specific heats, first law applied to closed systems and open systems (control
volumes), steady and unsteady flow analysis.
Second Law of Thermodynamics:
Kelvin-Planck and Clausius statements, reversible and irreversible processes, Carnot theorems,
thermodynamic temperature scale, Clausius inequality and concept of entropy, principle of
increase of entropy, entropy balance for closed and open systems, exergy (availability) and
irreversibility, non-flow and flow exergy.
Properties of Pure Substances:
Thermodynamic properties of pure substances in solid, liquid and vapor phases, P-V-T behaviour
of simple compressible substances, phase rule, thermodynamic property tables and charts, ideal
and real gases, equations of state, compressibility chart.
Thermodynamic Relations:
T-ds relations, Maxwell equations, Joule-Thomson coefficient, coefficient of volume expansion,
adiabatic and isothermal compressibilities, Clapeyron equation.
Thermodynamic cycles:
Carnot vapour power cycle; simple Rankine cycle, reheat and regenerative Rankine cycle; Air
standard cycles: Otto cycle, Diesel cycle, simple Brayton cycle, Brayton cycle with regeneration,
reheat and intercooling; vapour-compression refrigeration cycle.
Ideal Gas Mixtures:
Dalton's and Amagat's laws, calculations of properties (internal energy, enthalpy, entropy), airwater
vapour mixtures and simple thermodynamic processes involving them.
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