Anna University - M.Sc./ M.Phil. - Anna University - M.Sc./ M.Phil.
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Applications are invited for admission to M.Sc. (2 years) and M.Phil. Degree Programmes offered in the University Departments of Anna University Chennai, Chennai – 600 025 for the academic year 2010-2011.
M.Sc. (2 years)
- The Question paper will have objective type questions. Each question will be followed by four alternative answers.
- The Question Paper for Mathematics, Physics, Chemistry, Geology, Media Science, Environmental Science and Economics will contain 100 questions each.
- The question paper in Economics will have three parts. Part- I will contain 40 Questions which is common to both Science and non-Science stream candidates. Part- 2 is on Advanced Mathematics and Statistics with 60 questions. Part 3 is General Economics with 60 questions. Candidates have to choose either Part 2 or Part 3 for answering. Part 1 carries 40 marks; Parts 2 & 3 each carry 60 marks. The performance level of candidates in Part 2 and Part 3 may differ. Hence the marks obtained by the candidates in Part 2 & 3 will be normalized using the following formula: Normalised marks = 30 + 6 [raw marks-m (mean)/s standard deviation)]. This mark will be added to the mark obtained in Part I and total will be considered as the mark obtained by the candidate out of 100.
While evaluating the Entrance Examination answers, 1 mark is awarded for each correct answer and 1/4 mark is deducted for every wrong answer. However, no deduction will be made for questions left unanswered. Multiple shading will be considered as wrong answer and 1/4 mark will be deducted.
M.Sc. (2 years)
Group - A
1. Applied Mathematics
Group - B
1. Materials Science
2. Medical Physics
Eligibility : B.Sc. Mathematics (or) B.Sc. (Applied Science) B.Sc. Physics with Mathematics as an Ancillary Subject (or) B.Sc. Applied Science
Group - C
Eligibility : B.Sc. Chemistry with Mathematics and Physics as Ancillary Subject (or) B.Sc. Applied Science
Group - D
Group - E
Eligibility : B.Sc. (Geology/Applied Geology/Physics/ Chemistry/Environmental Science/Applied Science) Any B.Sc. degree / B.A. (Journalism / Visual Communication / Mass Communication)
Group - F
Science and Technology Communication
Eligibility : B.Sc. / B.E / B.Tech. (any branch / discipline) / B.Arch. B.Sc. any discipline with one course related to Chemistry / Biology
Group - H
B.Sc (Mathematics/ Statistics/ Computer Science/ Physics (with 55%) or
B.A (Economics/ B.Com/ B.B.A. (with 55%) with +2 Mathematics)
with Mathematics as Major or Ancillary Subjects with 50% Marks. (or)
B.Sc (Economics/ B.A Economics/ B.Com/ B.B.M/ B.B.A. with 50% marks.
1 M.Phil. Mathematics
M.Sc. (Mathematics/ Applied Mathematics)
2 M.Phil. Physics
M.Sc. (Physics/ Medical Physics/ Material Sciences)
3 M.Phil. Crystal Science
M.Sc. (Physics / Material Science / Medical Physics / Chemistry / Applied Chemistry)
4 M.Phil. Chemistry
M.Sc. (Chemistry/ Applied Chemistry)
5 M.Phil. Applied Geology
M.Sc. (Geology/ Applied Geology)
6 M.Phil. English
M. A. (English)
Real Analysis – Sequence – Series – Uniform Convergence – Compactness – Connectedness – Implicit functions - Taylor’s Theorem and Maxima and Minima for Functions of Two Variables – Lebesque Theory.
Complex Analysis – Analytic Functions – Conformal Mapping – Complex integration – Entire – functions – Elliptic Functions – Analytic Continuation.
Differential Equations – Systems of Linear ODEs - Fundamental Matrix – Strum – Lioville Problems – Bessel’s & Legender’s D.E.’s - Linear P.D.E of first and Second Order – Laplace, Wave and Diffusion Equations.
Mechanics – Kinematics – Dynamics in Space Langrangean Mechanics – Hamiltonian Methods – Tensors.
Algebra –Groups – Rings –Fields – Finite Fields –Vector Spaces –Linear Transformations –Boolean Algebra.
Classical Mechanics: Mechanics of a Particle and System of Particles – Conservation Laws – Rutherford’s Scattering Formula – Special Relativity.
Electromagnetic Theory and Optics: Electrostatics – Solutions of Poisson and Laplace Equation – Method of Images – Magnetic Fields – Biot Savart’s and Ampere’s Law – Maxwell’s Equation – Poyntings Theorem - Ware Equation – Polarization – Diffraction – Faraday Effect – Interferometry – optical activity.
Semiconductor Devices: Zener Diode – JFT – Optoelectronic Devices – Transistors – Multivibrators – Linear and Digital Integrated Circuits – Analogue Modulation and Demodulation – Electronic Instruments.
Statistical Physics: Laws of Thermodynamics- Thermodyanmic Functions – Maxwell’s Laws – Phase Transitions – Microconical, Canonical and Grand Canonical Ensembles –Specific Heat of Ideal Gas – Bose –Einstein and Fermi Dirac Statics – Specific Heat of Solids.
Quantum Mechanics: Schrodingers equation – One and Three Dimensional Square Wells – Harmonic Oscillator – Hydrogen Atom – Perturbation Theory – Scattering Theory.
Atomic and Molecular Physics: Atomic Spectra – Fine, Hyperfine Structure – LS Coupling – Bonding in Molecules – Heitler – London and LCAO – Molecular Spectra – Lasers.
Nuclear and Particle Physics: Basic Concepts – Radioactivity – Nuclear Forces –Shell Model – Ionisation and Radiation Losses – Nuclear Reactors – Nuclear Instrumentation – Classification of Elementary Particles.
Solid State Physics: Bravis Lattices – X – Ray and Neutron Diffraction – Free Electron Theory – Band Theory – S e m i C o nducto rs – Die lectrics – Dia and Paramagnetism – Magnetic Ordering of Various Types.
Solid state: Crystalline solids – structure of compounds – diamond, grapite – defects in solids – Bravis lattices – point groups – free electron theory – band theory – semiconductors – dielectrics – ferroelectrics – piezoelectrics – superconductors.
Thermodynamics: Laws – Joule-Thomson effect – free energy – work function – chemical potential – Gibbs- Duhem equation – partition function – Maxwell-Boltzmann – Bose-Einstein – Fermi-Dirac statistics – applications.
Quantum and wave mechanics: Atomic structure – postulates of quantum mechanics – Eigen function – Schordinger equation – particle in a box – Harmonic oscillator – Hydrogen atom – perturbation theory.
Optical properties: Electromagnetic radiation – regions of the spectrum – refractive index – transmittance – luminescence. Magnetic properties: Diamagnetic, paramagnetic and ferromagnetic materials – soft and hard materials.
Spectral techniques: UV-VIS, IR, Raman and microwave spectroscopy – X-ray diffraction, electron and neutron diffraction – AAS, XPS and Auger spectroscopy – Thermal methods – TGA, DTA and DSC.
Nuclear Science: Basic concepts – radioactivity – nuclear forces – shell model – ionization and radiation losses.
The Elizabethan Age – Shakespeare – The age of Milton – The Restoration period – The Neo Classical period – The Ate of Johnson – Twentieth Century British Literature.
Twentieth Century American literature – Indian Writing in English History of the English Language –The Vocabulary of English – Loan Words –Change of Meaning in English Words – English Dictionaries.
Literary Criticism – Major Critics of the twentieth Century like I.A. Richards, F.R. Leaols and Cleanth Brooks.
Literary Forms : Sonnet, Ode, Epic, Novel and Short Story.
Linguistics : Phonetics and phonology, Morphology, Syntam Semantics.
English as an International Language – Varieties of English.
Periodic Properties of Elements – Hybridisation – Molecular Orbitals – Chemical Bonding.
Bronsted and Lewis Acids and Bases – Buffer Solutions –Oxidation – Reduction Potentials.
First and Second Law of Thermodynamics – Rates of Chemical Reactions – Arrhenius Equation - Concept of Transition State – catalysis.
Co – ordination Chemistry – Isomerism – Octahedral and Tetrahedral Complexes – Crystal Field splitting of d -Orbitals – Sandwich Compounds and Metal Carbonyls.
Symmetry Elements and Chiral Structures – R- S nomenclature – Disastereo Isomerism – Conformational Analysis of Cyclic and Acyclic System – Organic Reaction Mechanism.
Name Reactions – Applications of UV – VIS, NMR, ESR and Mass Spectral Techniques to Structural Problems.
Petrology: Classification of Minerals – Geochemical Methods in Mineral Exploration – Geochemical Anamoly – Magmatic Evolution – Classification & Origin of Igneous Rocks – Metamorphic Facies – Petrogenesis – Petrochemistry – Process of Sedimentation – Diagenesis - Sedimentary Facies, Models.
Stratigraphy, Paleontology, Geomorphology, Economic Geology: Stratigraphic Principles – Correlation – Biostratigraphy – Application of Micropalaeontology – Geomorphology – Coastal Landforms – Geomorphic Agents – Ore Forming Processes-Metallic and Non- Metallic Deposits – Petroleum and Coal Deposits.
Geotectonics, Geophysics and Hydrogeology: Mechanics of Folding and Faulting – Lineation & Schistosity- Deformation Structures – Tectonic Movements. Seismic, Magnetic, Gravity, Electrical Methods – Well Logging – Radioactive Methods. Ground – water Occurrence –Aquifer Properties – Estimation – Flow Equations – Models – Water Quality.
Engineering, Environmental & Mining Geology: Engineering Properties of Rocks – Elasticity – Investigations for Dams, Tunnels, Land Slides – Coastal Erosion – Environmental problems due to Earthquakes, Valcanes, Mining –Geological Hazards – Mitigation. Open Cast and Underground Mining Methods – Metal Mining Methods – Placer Mining.
Remote Sensing, Statistics and Computer Application: Aerial Photographs – Photogrammetry – Remote Sensing Techniques – Image Processing – GIS Applications. Statistical Methods – Testing of Hypothesis – Time Series Analysis – Computer Programming – Fortran77 – Matrix Manipulations.
Part 1: MODERN ALGEBRA AND ANALYTICAL GEOMETRY: Group, rings and fields Vector spaces. Hermitian, Unitary and normal transformations – General equation of second degree - tracing of conics - polar equations, shortest distance between skew lines – sphere, cone and cylinder- ellipsoid, paraboloid and huperboloid – normal and tangent planes.
Part 2: COMPLEX ANALYSIS AND SERIES: Analytic function – Cauchy – Riemann equations – Conjugate harmonic functions. Elementary functions – conformal mapping – complex integration. Cauchy’s theorem and application – singularities and residues, Convergency tests – alternating series – Leibnitz test – power series – radius of conver gence.
Part 3: VECTOR ANALYSIS, INTEGRATION AND DIFFERENTIAL EQUATIONS: Grad., div., curl., Line, Surface, Volume integrals and Jacobians – Gauss and Stoke theorems – Improper integrals - Beta, gamma Functions, Linear Equations with variable coefficients. Simultaneous differential equations - General, particular and complete integrals - Lagrange’s Equation.
Part 4: NUMERICAL METHODS, PROGRAMMING DATA STRUCTURES AND ALGORITHMS: Roots of alg, and transcendental equations, method of bisection. Newton’s method – Trapezoidal and Simpson’s rule of num. Integration – Straight line fitting by least square method. Fortran and Basic – Variables, Statements I/O Statements, Formats, dimesion, subscribed variables, function, subprograms, Data Structures – Arrays, Stacks,
Queues –linked List Trees Algorithm – Sorting and searching.
Part 5: DISCRETE MATHEMATICS AND AUTOMATA: Set theory – Inclusion – Exclusion principle – relations - functions posets – Lattices-Boolean Algebra, Gate networks, Logic – Graphs – Trees –Recursion – Permutations and Combinations – finite field – field extension – finite automata – push down automata.
Part 1: MECHANICS: Linear and angular Velocity - Linear and Angular Acceleration - Projectile - Impulse and Impact - Simple Harmonic Motion - Moment of Inertia. Theory of moments friction - Simple Machines - Centre of gravity - Virtual work. Thrust Centre of pressure - Floating bodies - Metacentre - Atmospheric Pressure Versus Altitude. Equation of continuity - Bernoulli’s theorem and applications.
Part 2: GENERAL PHYSICS, SOUND, HEAT AND THERMODYNAMICS : Gravitation and elements of space science - elasticity - surface tension - viscosity - Lissajou’s figures - velocity of sound, ultrasonics and applications - acoustics of buildings - Recording and Reproduction of sound - Doppler effect. Calorimetry - Kinetic theory of gases - 1st, 2nd, 3rd Laws of thermodynamics - heat engines, low temperature physics - convection, conduction and radiation.
Part 3: OPTICS AND SPECTROSCOPY : Reflection - Refraction - Mirrors - Lenses - defects in lenses - optical instruments - Photometry- velocity of light - interference - diffraction - polarisation - crystal optics, classification of spectrainfra-red , ultra violet and Raman spectroscopy.
Part 4: ELECTRICITY ,MAGNETISM AND ELECTROMAGNETISM : Electrostatics , current electricity -elecrolysisthermoelectricity - heating effect -magnetic materials- hysteresis - galvanometers - electromagnetic inductionbridge circuits - LCR circuits - motors and generators.
Part 5: ATOMIC PHYSICS, NUCLEAR PHYSICS AND ELECTRONICS : Cathode rays - electron theory of metals - atomic structure, X-rays - application to crystallography - special theory of relativity - wave mechanics - size, charge, mass, spin of nucleus - Radioactivity - particle accelerators, nuclear reactions, nuclear - energy -cosmic rays, elementry particles .Series and parrallel resonance circuits - valves - semiconductors - power supply
amlifiers - oscillators -Modulation and detection-Radiation and wave propagation - Microwaves Electronic measuring instruments - T.V - Radar.
Part 1: ORGANIC CHEMISTRY : Preparation and properties of aliphatic and aromatic hydrocarbons, halides, hydroxyl derivatives, ketones, aldehydes, ethers, amines, nitro compounds, carboxylic acids, esters and amides – Polar effect, electrophillic and nucleophilic substitutions, free radical and elimination reactions – Aromaticity – Non benzenoid aromatic compounds, alicyclic compounds, Carbohydrates, Amino acids and Proteins – Heterocyclic compounds – Structural and Geometrical isomerism – Name reactions and rearrangements.
Part 2: INORGANIC CHEMISTRY : Electronic structure of atom – quantum Numbers – Periodic Table – Periodic Properties of elements – Classification of elements in to s,p,d and f type blocks – Bonding in ionic and covalent compounds – VB, MO and VSEPR theories – Chemistry of rare gases, halogens and halides, oxygen and oxides, sulphur and nitrogen compounds – general methods of isolation of metals from ores – Al, Mg, Fe, Xn, Sn, Pb and Ti – Coordination compounds – nomenclature and isomerism – Nuclear chemistry – Radiations Types of reactions.
Part 3: PHYSICAL CHEMISTRY: First and second law of thermodynamics – applications – concept of entropy – Chemical potential – Electrochemistry – lon activities – Theories of electrolytic conductance – Electrochemical cells – Evaluation of thermodynamic functions – Polarisation – Secondary cells – Chemical kinetics – Experimental techniques – First, second and third order reactions – Complex reactions – Eyring equation – Photochemical reactions – Absorption isotherms – Determination of surface area – Phase rule – one and two component systems –Applications.
Part 4: ANALYTICAL CHEMISTRY : Data analysis – Types of errors - Precision and accuracy – Method of expressing precision – Titrimetry – Principles – Indicators – Gravimetric analysis – Principles – Determination of Fe, Al, Pb, Ba, Ni and Ca – Organic reagents in inorganic analysis – Stoichiometric calculations – Separation and purification techniques – Chromatography – Thermo analytical methods – Polarography and polarimetry – Physical methods of study of molecular structure – dipole moment, magnetic moment. UV – Visible and infra-red spectroscopy.
Part 5: APPLIED CHEMISTRY: Fossil Fuel – Coal – Varieties of coal – petroleum –Origin – Refining – Products of Petroleum refining – Natural gas – LPG – Polymers – Addition, condensation polymers – Commercial Plastics – Synthetic rubber – Ceramics, Glass Abrasives and refractories – Properties and uses, Fertilizers, N, P, K fertilizers – Manufacture – Corrosion and corrosion control – Preventive measures – Soap, detergent, pulp and paper –Water and wastewater treatment.
Part 1: CRYSTALLOGRAPHY AND MINERALOGY : Symmetry elements, various forms and general symbols for all the major six systems and class. Twin laws –twin planes – physical and optical properties of minerals-Megascopic and Microscopic study of rock forming minerals and other important individual minerals.
Part 2: PETROLOGY: Characteristic features of Igneous, Sedimentary and Metamorphic rocks, Megascopic and Microscopic study of Major groups of rocks. Classification, structures, forms, textures of igneous, Sedimentary and Metamorphic rocks. Binary and Ternary system – Agents and types of Metamorphism – Study of all important groups of rocks.
Part 3: STRATIGRAPHY AND PALAEONTOLOGY : Laws of Stratigraphy – Physiographic divisions of India – Major stratigraphic systems in India – Siwalik Mammals. Index fossils – Modes of preservation – uses of fossil – morphological characteristics of major phylum and class : Moilusca, Brachiopoda, Trilobita (Arthropoda), Echinodermata, Corals, Foraminifera, Ostracoda, Plant fossil – Study of Micro Palaeontology and their industrial applications.
Part 4: GENERAL GEOLOGY AND STRUCTURAL GEOLOGY : Origin, Age and interior of earth – Weathering – Geological action of rivers, wind, glaciers, sea and ground water – Mountains – Volcancoes – Earthques – Plate tectonics – Isostasy. Attitude of beds – use of clinometer and Bruton Compass – Toposheet – Classification, types and recognisation element of folds, faults, unconformities, joints.
Part 5: ECONOMIC GEOLOGY AND APPLIED GEOLOGY : Various processes of formation of mineral deposits – Study of major ores and their distribution, origin and occurrences - Iron, Manganese, Copper, Chromite, Lead and Zinc etc., - Industrial Minerals – Origin and varieties of Coal, Different Coal fields in India, Mineral resources of Tamil Nadu – origin of Petroleum and Oil field in India.
Remote sensing applications to Earth Sciences – various geophysical surveys – Geological consideration for dams, reservoirs, Tunnel landslide – Cause and preventive methods – Sea erosion and Coastal protection – Elements of statistical Geology and Mining Geology.
For Admissions to M.Sc. (Environmental Science)
M.Sc. (Science & Technology Communication)
Part 1: Environmental Science: Structure of Environmental – Atmosphere – Lithosphere – Hydrosphere – Biosphere, Global warming, Ozone depletion, Tides and Waves – Estuaries – Lentic and Lotic Systems – Ecosystems – Components – Concept of Productivity – Pyramids – Cycling of elements. Environmental preservation – Biodiversity – Biological indices – Water pollution – Soil pollution – Environmental health hazards – Environmental awareness – NGOs – Pollution control boards.
Part 2: Microbiology: Microorganisms – Prokaryotic and eukaryotic cells – Structure – Classification – Culture methods – Preservation – Population interaction – Environmental factors – Growth phases – Nucleic acids – DNA &RNA –Replication – Mendelism – Monohybrid and dihybrid ratios – Mutation – Linkage and crossing over recombinant DNA – Transformation and transduction – indicator organisms – Pathogenic bacteria – Microbiology of Water, Air, Soil, Food and Milk – Immunity.
Part 3 : Botany : Species concept – Nomenclature – Classification of Plant kingdom – Salient feature of Monocots and Discots – Algae – Their salient features and classification – Pigmentation – Single cell protein – Biofertilizers – Fungi – Classification and their economic importance. Bryophytes – Pteridopytes – Gymnosperms and their salient features – Medicinal plants.
Part 4: Zoology: Cell – Cell differentiation and tissures – Classification of Animal Kingdom. Protozoa – Rhizopoda, Mastigophora, Sporozoa, Ciliphora. Their characteristics and medical importance – Salient features of metazoa and their economic importance.
Part 5 : Chemistry : Electronic structure of atom – Classification of elements – chemistry of rare gases, Halogens, Halides, Oxyen and Oxides, Sulphur and Nitrogen compounds – Coordination compounds – Radiation, Ist and IInd law of thermodynamics – Polarisation – Chemical kinetics – Photochemical reactions – Data analysis – types of errors – Titrimetry – Graimetric analysis – Fossil fuel – Natural gas – Commercial plastic – Corrosion and control – Water and Waste Water treatment.
Part 6: Biochemistry: The molecular logic of living state – Water pH – Acids – alkalies and buffers, Carbohydrates, Proteins, Lipids – their classification and metabolism – Respiration – Biological significance – Biochemical energetics –Enzymes – Properties – Mechanism and factors – Vitamins and Coenzymes – Electrophoresis – Chromatography – Spectroscopy – Centrifugation – Microscopy.
M.Sc. (Economics) & M.Sc. (Financial Economics)
Part 1: BASIC MATHEMATICS AND STATISTICS:
There will be 10 questions on each of the following sections
1. Set theory: Basic concepts, complements, union and intersection, laws.
2. Limits and Derivatives : Limits and continuity, derivatives of functions of one variable, maxima and minima
3. Matrices and Determinants: Rank and inverse of a matrix, properties of determinants, solution of system of equations.
4. Statistics: Elements of probability, mean, variance and correlation coefficient.
Part 2 : ADVANCE MATHEMATICS AND STATISTICS
There will be 15 questions on each of the following sections.
1. Analytical Geometry: Equation for straight line, circle, parabola, hyperbola, quadratic equation.
2. Functions and Differentiation: Binomial, Exponential and logarithmic functions, Taylor’s series homogeneous functions and Euler’s theorem, derivatives of functions of more than one variable, partial and total derivatives, derivatives of higher order, convex and concave functions, points of inflextion.
3. Integration and Differential equation: Evaluation of integrals, definite and indefinite integrals, integration by parts, solution of first order linear differential equation.
4. Mathematical Statistics: Random variables, probability density function, distribution of random variables. Binomial, Poisson and normal distribution, measures of location and dispersion, curve fitting.
Part 3: GENERAL ECONOMICS
There will be 15 questions on each of the following sections.
1. Scope of economics and consumers theory: nature and scope of economics, types of economic systems, Utility function, cardinal and ordinal utility, indifference curve analysis, laws of demand, income and price elasticities, consumer surplus.
2. Producer’s behaviour: Isoquants, average and marginal products returns to scale, cost minimization and input choice, profit maximization. Supply curve, market structure, perfect competition and monopoly market equilibrium.
3. National income accounting relationship among GNP, GDP and NNP, balance of payments. Say’s law, consumption function, investment function, demand for money. IS-LM model.
4. Economic problems and policies: Inflation, causes and cures, trade deficit and corrective measures, fiscal deficit and corrective measures, economic reforms, structural adjustment and stabilization, measurement of poverty, human development index.
1 M.Sc. Applied Mathematics
2 M.Sc. Materials Science/Medical Physics
3 M.Sc. Applied Chemistry
4 M.Sc. Applied Geology
5 M.Sc. Electronic Media (SS)
6 M.Sc. Science and Technology Communication (SS)
7 M.Sc. Environmental Science (SS)
8 M.Sc. Economics/Financial Economics (SS)
1 M.Phil. Mathematics
2 M.Phil. Physics
3 M.Phil. Crystal Science
4 M.Phil. Chemistry
5 M.Phil. Applied Geology
6 M.Phil. English