# Anna University MSc Entrance Exam Syllabus

## MATHEMATICS

### For Admission to M.Sc. ( Applied Mathematics)

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.## PHYSICS

### For Admission to M.Sc. (Material Science) & M.Sc. (Medical Physics)

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 -elecrolysis- thermoelectricity – heating effect -magnetic materials- hysteresis – galvanometers – electromagnetic induction-bridge 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.## CHEMISTRY

### For Admission to M.Sc. (Applied Chemistry)

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.## GEOLOGY

### For Admission to M.Sc. (Applied Geology)

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.## MEDIA SCIENCE

### For Admissions to M.Sc. (Electronic Media)

The Question Paper will be designed to test the capability of the candidates in the following areas: Syllabus and Question Paper Pattern for the Entrance Examination: –Sl.No | Topic | No. of Questions |

1. | Quantitative Ability | 20 |

2. | Analytical Reasoning | 20 |

3. | Logical Reasoning | 20 |

4. | Computer Awareness | 20 |

5. | Visualisation and Creativity | 20 |

## ENVIRONMENTAL SCIENCE

### 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.## ECONOMICS

### For Admissions to M.Sc. (Economics) & M.Sc. (Financial Economics)

Part 1: BASIC MATHEMATICS AND STATISTICS: There will be 10 questions on each of the following sections- Set theory: Basic concepts, complements, union and intersection, laws.
- Limits and Derivatives : Limits and continuity, derivatives of functions of one variable, maxima and minima
- Matrices and Determinants: Rank and inverse of a matrix, properties of determinants, solution of system of equations.

- Statistics: Elements of probability, mean, variance and correlation coefficient.

- Analytical Geometry: Equation for straight line, circle, parabola, hyperbola, quadratic equation.
- 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.
- Integration and Differential equation: Evaluation of integrals, definite and indefinite integrals, integration by parts, solution of first order linear differential equation.
- Mathematical Statistics: Random variables, probability density function, distribution of random variables. Binomial, Poisson and normal distribution, measures of location and dispersion, curve fitting.

- 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.
- 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.
- 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.
- 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.