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IIT JAT Exam Syllabus






IIT JAT Exam Syllabus
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IIT JAM2009 BiotechnologySyllabus

The Biotechnology (BT)testpaper comprises ofBiology (44% weightage), Chemistry (20%weightage),Mathematics (18%weightage) and Physics(18%weightage).

Biology(10+2+3level)

GeneralBiology:Taxonomy; Heredity; Genetic variation;Conservation; Principles ofecology; Evolution; Techniques in modernbiology.

BiochemistryandPhysiology:Carbohydrates; Proteins; Lipids;Nucleicacids; Enzymes; Vitamins;Hormones; Metabolism; Photosynthesis.NitrogenFixation, Fertilizationand Osmoregulation; Nervous system;Endocrinesystem; Vascular system;Immune system; Digestive system,ReproductiveSystem.

BasicBiotechnology: Tissueculture; Application of enzymes;Antigen-antibody interaction; Antibodyproduction; Diagnosticaids.

MolecularBiology: DNA;RNA;Replication; Transcription;Translation; Proteins; Lipids;Membranes;Gene transfer. Cell Biology:Cell cycle; Cytoskeletalelements;Mitochondria; Endoplasmic reticulum;chloroplast; Golgiapparatus;Signaling.

Microbiology:Isolation;Cultivation; Characterization and enumeration of virus;Bacteria; Fungi;Protozoa;Pathogenicmicro-organisms.

Chemistry(10+2+3level)

AtomicStructure:Bohr's theory andSchrodinger wave equation;Periodicity in properties;Chemical bonding;Properties of s, p, d andblock elements; Complexformation;Coordination compounds; Chemicalequilibria; Chemicalthermodynamics(first and secondlaw);

Chemical kinetics (zero, first, second andthirdorderreactions); Photochemistry; Electrochemistry;Acid-baseconcepts;Stereochemistry of carbon compounds;Inductive,Electromeric,conjugative effects and resonance; Chemistry ofFunctionalGroups:hydrocarbons, alkyl halides, alcohols, aldehydes,ketones,carboxylicacids, amines and theirderivatives;

Aromatic hydrocarbons, halides, nitro andaminocompounds,phenols, diazonium salts, carboxylic and sulphonicacids;Mechanism oforganic reaction; Soaps and detergents;Syntheticpolymers; Biomolecules- aminoacids, proteins, nucleic acids,lipidsand carbohydrates(polysaccharides);Instrumentaltechniques-chromatography (TLC, HPLC),electrophoresis,UV-Vis-IR andNMR spectroscopy, massspectrometry,etc.

Mathematics(10+2level)

Sets, Relationsand Functions,MathematicalInduction, Logarithms, Complex numbers,Linear and Quadraticequations,Sequences and Series, Trignometry,Cartesian System ofRectangularCoordinates, Straight lines and Family,Circles, ConicSections,Permutations and Combinations, BinomialTheorem, ExponentialandLogarithmic Series, Mathematical Logic,Statistics, ThreeDimensionalGeometry, Vectors, Stocks, Shares andDebentures, Average andPartitionValues, Index numbers, Matrices andDeterminants, BooleanAlgebra,Probability, Functions, limits andContinuity,Differentiation,Application of Derivatives, Definite andIndefiniteIntegrals,Differential Equations, Elementary Statics andDynamics,Partnership,Bill of Exchange, Linear Programming, Annuities,ApplicationofCalculus in CommerceandEconomics.

Physics(10+2level)

Physical Worldand Measurement,Kinematics, Laws ofMotion, Work, Energy and PowerElectrostatics,Current electricity,Magnetic Effects of Current andMagnetism,Electromagnetic Inductionand Alternating Current,Electromagneticswaves, Optics, Dual Nature ofMatter and Radiations,Atomic Nucleus,Solidsand SemiconductorDevices, Principles ofCommunication, Motion of Systemof Particles andRigid Body,Gravitation, Mechanics of Solids and Fluids,Heat andThermodynamics,Oscillations,Waves.

IIT JAM 2009 ComputerApplicationsSyllabus

The ComputerApplications (CA)test paper comprisesof Mathematics, Computerawareness and Analyticalability and Generalawareness and they will bein theration4:2:1.

Mathamatics

Algebra: Set theory anditssimple applications. Basic concepts of groups, fields andvectorspaces.

Matrices: Rank ofamatrix.Existence and uniqueness of solution of a system oflinearequation.Eigenvalues and Eigenvectors. Inverse of a matrixbyelementarytransformations.

DifferentialCalculus:Differentiation,Partial differentiation,Taylor series and approximatecalculations.Maxima and minima offunctions of one and twovariables.

Integral Calculus:Singleandmultiple integration. Definite integrals, Change of order andchangeofvariables. Application to evaluation of area, surfaceandvolume.

DifferentialEquations: Firstorder differential equations, lineardifferential equations of higherorder withconstantcoefficients.

VectorAnalysis: Vectoralgebra, Gradient.

NumericalAnalysis:Solution of nonlinear equations using iterativemethods. Interpolation(Lagrange'sformula and Newton 's formulae forequidistant points).Numericaldifferentiation and integration(Trapezoidal and Simpson'srules).

Probability: Basicconcepts ofprobability theory. Binomial andPoissondistributions.

LinearProgramming: Formulationand its graphical solution fortwo variableproblems.

ComputerAwareness

Elements ofcomputers. Numbersystems. Basicelectronic gates. Boolean algebra.Flip-Flops. Algorithmicapproach tosolve problems. Fundamentals ofClanguage.

Analytical Ability AndGeneralAwareness

Simple questions will be askedto test theanalytical ability and general awarenessofcandidates.

IIT JAM2009 ChemistrySyllabus

PhysicalChemistry

BasicMathematical Concepts:Differential equations, vectorsandmatrices.

AtomicStructure:Fundamentalparticles. Bohr's theory ofhydrogen atom; Wave-particleduality;Uncertainty principles;Schrodinger's wave equation; Quantumnumbers,shapes of orbitals; Hund'srule and Pauli's exclusionprinciple.

Theory of Gases:Kinetic theoryof gases. Maxwell-Boltzmann distribution law;Equipartition ofenergy.

ChemicalThermodynamics:Reversibleand irreversible processes;First law and its application toideal andnonideal gases;Thermochemistry ; Second law; Entropy and freeenergy,Criteria forspontaneity.

Chemicaland PhaseEquilibria: Lawof mass action; K p , K c ,K xand K n ;Effect of temperature on K;Ionic equilibria in solutions; pHand buffersolutions; Hydrolysis;Solubility product; Phaseequilibria?Phase ruleand its application toone-component andtwo-component systems;Colligative properties.

Electrochemistry:Conductanceandits applications; Transport number; Galvanic cells; EMFandFreeenergy; Concentration cells with and withouttransport;Polarography.

ChemicalKinetics: Reactionsofvarious order, Arrhenius equation,Collision theory; Theory ofabsolutereaction rate; Chain reactions ?Normal and branched chainreactions;Enzyme kinetics; Photophysical andphotochemicalprocesses;Catalysis.

OrganicChemistry

BasicConcepts in OrganicChemistry andStereochemistry: Isomerism andnomenclature, electronic(resonance andinductive) effects. Opticalisomerism in compoundscontaining one andtwo asymmetric centers,designation of absoluteconfiguration,conformations ofcyclohexanes.

Aromaticity andHuckel's rule:Mono and bicyclic aromatic hydrocarbons.

Organic ReactionMechanism andSynthetic Applications:Methods ofpreparation andreactions of alkanes, alkenes, alkynes,arenes and theirsimplefunctional derivatives. Mechanism and syntheticapplicationsofelectrophilic aromatic substitution.

Stereochemistry and mechanismofaliphaticnucleophilic substitution and elimination reactions.Mechanismof aldolcondensation, Claisen condensation, esterificationandesterhydrolysis, Cannizzaro reaction, benzoincondensation.

Perkin reaction, Claisenrearrangement,Beckmannrearrangement and Wagner-Meerwein rearrangement.Synthesis ofsimplemolecules using standard reactions of organicchemistry.Grignardreagents, acetoacetic and malonicesterchemistry.

NaturalProducts Chemistry:Introduction to the followingclasses of compounds-alkaloids, terpenes,carbohydrates, amino acids,peptides and nucleiacids.

HeterocyclicChemistry:Monocyclic compounds with one heteroatom.

QualitativeOrganicAnalysis:Functional group interconversions,structuralproblems using chemicalreactions, identification offunctional groupsby chemicaltests.

InorganicChemistry

PeriodicTable:Periodic classification of elements andperiodicity in properties;general methods of isolation and purificationofelements.

ChemicalBonding and Shapes ofCompounds:Types of bonding; VSEPRtheory and shapes ofmolecules; hybridization;dipole moment; ionicsolids; structure of NaCl,CsCl, diamond andgraphite; latticeenergy.

MainGroupElements (s and p blocks):Chemistry with emphasisongroup relationship and gradation inproperties; structure ofelectrondeficient compounds of main groupelements and application ofmain groupelements.

TransitionMetals(d block):Characteristics of 3d elements;oxide,hydroxide and salts of first rowmetals; coordination complexes;VB andCrystal Field theoreticalapproaches for structure, colour andmagneticproperties of metalcomplexes.

AnalyticalChemistry:Principles ofqualitative and quantitativeanalysis; acid-base,oxidation-reductionand precipitation reactions; useof indicators; useof organic reagentsin inorganic analysis;radioactivity; nuclearreactions; applicationsofisotopes.

IIT JAM 2009GeologySyllabus

The PlanetEarth:Origin of theSolar System and the Earth; Geosphereand the compositionof the Earth;Shape and size of the earth; Earth-moonsystem; Formationof continentsand oceans; Dating rocks and age of theEarth; Energy inthe earthsystem; Volcanism and volcanic land forms;Interior ofearth;Earthquakes; Earth's magnetism and gravity, Isostasy;Elements ofPlatetectonics; Orogenesis.

Geomorphology:Weatheringanderosion; Transportation and deposition due to wind, ice,river,sea,and resulting landforms, Structurallycontrolledlandforms.

StructuralGeology:Concept ofstratum; Contour; Outcrop patterns;Maps and cross sections;Dip andstrike; Classification and origin offolds, faults, joints,foliation andlineation, unconformities; shearzones.

Palaeontology: Originandevolutionof life; Fossils; their mode of preservation andutility;Morphologicalcharacters and ages of important groups ofanimals;Brachiopoda,Mollusca, Trilobita, Graptolitoidea,Anthozoa,Echinodermata etc.Gondwana plant fossils; Elementary ideaofverterbrate fossils in India.

Stratigraphy:Principlesofstratigraphy;Classification, distribution and ages ofthestratigraphic formations ofIndia from Archaean toRecent.

Mineralogy: Symmetryand formsincommon crystal classes; Physical properties ofminerals;Isomorphismand polymorphism, Classification of minerals;Structure ofsilicates;Mineralogy of common rock-forming minerals; Modeofoccurrence ofminerals in rocks.

Transmitted polarised lightmicroscopy and opticalproperties of uniaxial and biaxialminerals.

Petrology:Definitionandclassification of rocks; Igneous rocks- forms ofigneousbodies;Crystallization from magma; classification, associationandgenesis ofigneous rocks; Sedimentary rocks - classification,textureandstructure; size and shape of sedimentary bodies. Metamorphicrocks-classification, facies, texture andproperties.

Economic Geology:Propertiesofcommon economic minerals; General processes of formationofmineraldeposits; Physical characters; Mode of occurrenceanddistribution inIndia both of metallic and non-metallicmineraldeposits; Coal andpetroleum occurrences inIndia.

Applied Geology: GroundWater;Mineral exploration, elements of mining and environmentalgeology;Principles of engineering geology.

IIT JAM 2009Mathematical StatisticsSyllabus

The MathematicalStatistics (MS)test paper comprises of Mathematics (40% weightage) andStatistics(60%weightage).

Mathematics:

Sequences andSeries:Convergence of sequences of real numbers,Comparison, root and ratiotests for convergence of series of realnumbers.

DifferentialCalculus:Limits,continuity and differentiability offunctions of one and twovariables.Rolle's theorem, mean value theorems,Taylor 's theorem,indeterminateforms, maxima and minima of functions ofone and twovariables.

IntegralCalculus:Fundamentaltheorems of integral calculus.Double and tripleintegrals,applications of definite integrals, arclengths, areas andvolumes.

Matrices: Rank, inverseofamatrix. systems of linear equations. Lineartransformations,eigenvaluesand eigenvectors. Cayley-Hamilton theorem,symmetric,skew-symmetric andorthogonal matrices.

DifferentialEquations:Ordinarydifferential equations of the firstorder of the form y' =f(x,y).Linear differential equations of thesecond orderwithconstantcoefficients.

Statistics:

Probability:Axiomaticdefinitionof probability and properties, conditionalprobability,multiplicationrule. Theorem of total probability. Bayes'stheorem andindependence ofevents.

RandomVariables:Probability massfunction, probability densityfunction and cumulativedistributionfunctions, distribution of afunction of a randomvariable.

Mathematicalexpectation,moments and moment generating function.Chebyshev'sinequality.

StandardDistributions:Binomial,negative binomial, geometric,Poisson, hypergeometric,uniform,exponential, gamma, beta and normaldistributions. Poisson andnormalapproximations of abinomialdistribution.

JointDistributions:Joint,marginal and conditionaldistributions. Distribution of functionsofrandom variables. Productmoments, correlation, simplelinearregression. Independence ofrandomvariables.

Samplingdistributions:Chi-square, t and F distributions, andtheirproperties.

LimitTheorems: Weak law oflarge numbers. Central limittheorem (i.i.d.with finite variance caseonly).

Estimation:Unbiasedness,consistencyand efficiency of estimators, method ofmoments and methodof maximumlikelihood. Sufficiency,factorizationtheorem.

Completeness, Rao-BlackwellandLehmann-Scheffetheorems, uniformly minimum variance unbiasedestimators.Rao-Cramerinequality. Confidence intervals for theparameters ofunivariatenormal, two independent normal, and oneparameterexponentialdistributions.

Testing ofHypotheses:Basicconcepts, applications of Neyman-PearsonLemma for testing simpleandcomposite hypotheses. Likelihood ratio testsfor parametersofunivariate normaldistribution.

IIT JAM 2009 MathematicsSyllabus

Sequences, Series and DifferentialCalculus:Sequences of real numbers. Convergentsequences andseries, absoluteand conditional convergence. Mean valuetheorem. Taylor's theorem.

Maximaand minima of functions of a singlevariable.Functions of two and threevariables.Partial derivatives,maxima andminima.

Integral Calculus:Integration, Fundamental theorem of calculus. Doubleand Triple,integrals, Surface areas and volumes.

Differential Equations:Ordinary differential equations of the first order ofthe formy'=f(x,y).

Lineardifferential equations of second order withconstantcoefficients.Euler-Cauchy equation. Method of variationofparameters.

Vector Calculus: Gradient,divergence, curl and Laplacian. Green's,Stokes' and Gauss' theorems andtheir applications.

Algebra: Groups,subgroupsandnormal subgroups, Lagrange's Theorem for finitegroups,grouphomomorphisms and basic concepts of quotient groups,rings,ideals,quotient rings and fields.

LinearAlgebra: Systemsof linear equations. Matrices, rank,determinant, inverse. Eigenvaluesandeigenvectors.

Finite DimensionalVector Spaces over Real and ComplexNumbers, Basis, Dimension, LinearTransformations.

RealAnalysis: Open and closedsets, limit points,completeness of R, Uniform Continuity, Uniformconvergence, Powerseries.

IIT JAM2009Physics Syllabus

MathematicalMethods:Calculus ofsingle and multiple variables,partial derivatives,Jacobian, imperfectand per-fect differentials,Taylor expansion,Fourier series. Vectoralgebra, Vector Calculus,Multiple integrals,Divergence theorem,Green's theorem, Stokes'theorem.

First and lin-ear second order differentialequations.Matrices and de-terminants, Algebra ofcomplexnumbers.

Mechanics andGeneral Properties ofMatter:Newton's laws of motion andapplications, Velocityand acceleration inCartesian, polar andcylindrical coordinate systems,uni-formlyrotating frame, centrifugaland Coriolis forces, Mo-tion underacentral force, Kepler's laws,Gravitational Law and field,Conservativeand non-conservativeforces.

Sys-tem of particles, Centreofmass, equation ofmotion of the CM, conservation of linear andangularmomentum,con-servation of energy, variable mass systems.Elastic andinelasticcollisions. Rigid body motion, fixed axisrotations, rotationandtranslation, moments of Inertia and products ofInertia.Principalmoments and axes.

Elasticity, Hooke's law andelastic constantsofisotropic solid, stress energy. Kinematics of movingfluids,equationof continuity, Euler's equation, Bernoulli's theorem,viscousfluids,surface ten-sion and surface energy,capillarity.

Oscillations, WavesandOptics:Differential equation for simpleharmonicoscillator and its generalsolution. Super-position of two ormoresimple harmonic oscillators.Lissajous figures. Damped andforcedoscillators, reso-nance. Waveequation, traveling and standingwaves inone-dimension.

Energy density andenergytransmission in waves.Group velocity and phase velocity. Soundwaves inmedia. DopplerEffect. Fermat's Principle. General theory ofimageformation. Thicklens, thin lens and lens combina-tions.Interference oflight, opticalpath retardation. Fraunhofer diffraction.Rayleighcriterion andresolving power.

Diffraction gratings.Polarization: linear, circularand elliptic polarization. Doublerefraction and opticalrotation.

ElectricityandMagnetism:Coulomb's law, Gauss's law. Electric fieldandpotential. Electrostaticboundary condi-tions, Solution ofLaplace'sequation for simple cases.Conductors, capacitors,dielectrics,dielectric polarization, volumeand surface charges,electrostaticenergy.

Biot-Savart law, Ampere'slaw,Faraday's law ofelectromag-netic induction, Self and mutualinductance.Alternatingcurrents. Simple DC and AC circuits with R, Land Ccom-ponents.Displacement current, Maxwell's equations andplaneelectromagneticwaves, Poynting's theorem, reflec-tion andrefraction ata dielectricinterface, transmission and reflectioncoefficients (normalincidenceonly).

Lorentz Force andmotion ofcharged particles in electric andmag-neticfields.

Kinetictheory,Thermodynamics:Elements of Kinetic theory ofgases.Velocity distribution andEquipartition of energy. Specific heatofMono-, di- and tri-atomicgases. Ideal gas, van-der-Waals gasandequation of state. Mean freepath. Laws of thermodynamics. Zeroethlawand concept of thermalequilibrium.

First law and its consequences.Iso-thermalandadiabatic processes. Reversible, irreversibleandquasi-staticprocesses. Second law and entropy. Carnotcycle.Maxwell'sthermodynamic relations and simpleapplications.Thermodynamicpotentials and their applications. PhasetransitionsandClausius-Clapeyron equation.

ModernPhysics:Inertial frames andGalilean invariance.Postulates of specialrelativity. Lorentztransformations. Lengthcontraction, time dilation.Relativisticvelocity addi-tion theorem, massenergy equivalence.Blackbodyradia-tion, photoelectric effect, Comptoneffect, Bohr'satomic model,X-rays.

Wave-particleduality,Uncertainty principle,Schrodinger equation and its solutionfor one, twoand threedimensional boxes. Reflection and transmission ata steppotential,tunneling through a barrier. Pauliexclusionprin-ciple.Distinguishable and indistinguishableparticles.Max-well-Boltzmann,Fermi-Dirac and Bose-Einsteinstatistics.

Structure of atomic nucleus, mass andbindingenergy.Ra-dioactivity and its applications. Laws of radioactivedecay.Fissionand fusion.

Solid State Physics, DevicesandElectronics:Crystal structure, Bravais latticesandbasis. Miller indices. X-raydiffraction and Bragg's law, EinsteinandDebye theory of specificheat. Free electron theory of metals.Fermienergy and density ofstates.

Originof energy bands. Conceptof holes andeffective mass. Elementary ideasabout dia-, para- andferromagnetism,Langevin's theory ofparamag-netism, Curie's law.Intrinsic andextrinsic semiconductors.Fermi level. p-n junctions,transistors.Transistor circuits in CB, CE,CCmodes.

Amplifier circuits withtransistors. Op-erationalamplifiers. OR, AndD, Nor and Nandgates.





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