7. Selection:
The eligible candidates are required to appear at Entrance Exam., held in the month of April.
The detail of papers is given in the following table:

Detailed Syllabus For IIT-JEE
The Syllabus for of both Papers I and II for IIT-JEE is common as given below:

Mathematics
Algebra: Algebra of complex numbers, .addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given    roots symmetric functions of roots.
Quadratic inequalities in one real variable.
Arithmetic and geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes          of the first n natural numbers, logarithms and their properties.
Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients. Determinants of order up to three.
Matrices as a rectangular array of real numbers, equality of matrices, addition, scalar multiplication and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew­ symmetric matrices and their properties, solutions of simultaneous     linear equations in two or three variables.          
Addition and multiplication rules of probability, conditional probability, independence of events, computation of probability of events using permutations and combinations.

Trigonometry: Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, projection rule, Naiper's rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only),

Analytical geometry: Cartesian coordinates; distance between two points, section formulae, shift of origin.Equation of a straight line in various forms, angle between two lines, distance of a point from a line,
Lines through the point of intersection of two given lines, equation of the, bisector of the, angle between two lines, concurrency of lines, centroid, orthocentre, incentre and circumcentre of a triangle.        
Equation of, a, circle in various forms, equations of tangent, normal, and chords.
Parametric equations of a circle, intersection of a circle with a striaght line or a circle, equation of a circle through the points of intersection of two circles and that of a circle and a straight line.
Equation of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus Problems.

Three-Dimensional Geometry: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential calculus: Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
Derivative of a function, derivative of the sum, difference, product and quotient' of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions, derivatives up to order three, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, applications of Rolle's Theorem and Lagrange's Mean Value Theorem.

Integral calculus: Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, application of the Fundamental Theorem of Integral Calculus.
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
Formation of ordinary differential equations, solution of homogeneous differential' equations, variables separable method, linear first order, differential equations,

Vectors: Addition of vectors, scalar multiplication, scalar products, dot and cross products, scalar triple products and their geometrical interpretations,

PHYSICS
General: Units and dimensions, least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young's modulus by Searle's method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm's law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.

Mechanics: Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Circular motion (uniform and non­uniform); Relative velocity.
Newton's laws of motion; Inertia1 and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions,
Law of gravitation; Gravitational potential arid field; Acceleration due to gravity; Motion of planets and satellites in circular orbits.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke's law, Young's modulus.
Pressure in a fluid; Pascal's law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille's equation excluded), Stoke's law; Terminal velocity, Streamline flow, Equation, of continuity, Bernoulli's theorem and its applications.
Wave motion (plane waves only), longitudinal and transverse waves, Superposition of waves; progressive and stationary waves; Vibration of strings and air columns. Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).

Thermal Physics: Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton's law of cooling; Ideal gas laws; Specific heats (C and C for monatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases). Blackbody radiation: absorptive and emissive powers; Kirchhoff's law, Wien's displacement law, Stefan's law.

Electricity and magnetism: Coulomb's law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field, Electric field lines; Flux of electric field; Gauss's law and its
application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.

Electric current: Ohm's law; Series and parallel arrangements of resistances and cells; Kirchhoff's laws and simple applications; Heating effect of current.
Biot.Savart law and Ampere's law, magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.

Electromagnetic induction: Faraday's law, Lenz's law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.

Optics: Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.

Wave nature of light: Huygen's principle, interference limited to Young's double. slit experiment.

Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay; Decay constant; Half life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in. these processes.
Photoelectric effect; Bohr's theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley's law; de Broglie wavelength of matter waves.

Chemistry
Physical Chemistry
General topics: The concept of atoms and molecules; Dalton's atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.

Gaseous and liquid states: Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.

Atomic structure and chemical bonding: Bohr model, spectrum of hydrogen atom, quantum numbers; Wave particle duality, de Broglie hypothesis; uncertainty principle; Quantum mechanical picture of hydrogen atom (qualitative treatment), shapes of 8, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli's exclusion principle and Hund's rule; Orbital overlap and covalent bond; Hybridisation involving 8, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species; hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal, bipyramidal, tetrahedral and octahedral).

Energetics: First law of thermodynamics; Internal energy, work and .heat, pressure volume work; Enthalpy, Hess's law; Heat 6freaction, fusion and vaporisation; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.

Chemical equilibrium: Law of mass action; Equilibrium constant, Le Chatelier's principle (effect of concentration, temperature and pressure); Significance of DG and DG˚ in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.

Electrochemistry: Electrochemical cells and cell reactions; Electrode potentials;, Nernst equation and its relation to DG; Electrochemical series, emf of galvanic cells; Faraday's laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductance, Kohlrausch's law; Concentration cells.

Chemical kinetics: Rates of chemical reactions; Order of' reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).

Solid state: Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, a, b, g), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.

Solutions: Raoult's law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.

Surface chemistry: Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).

Nuclear chemistry: Radioactivity: isotopes and isobars; Properties of a, b, and g rays;, Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.

Inorganic chemistry
Isolation/preparation and properties of the following non-metals: Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.

Preparation and properties of the following compounds:
Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid, (carbonic acid); Silicon: silicones, silicates and silicon carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorous acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides; Fertilisers: commercially available (common) NPK type.

Transition elements, (3d series): Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin only magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cis-trans and ionisation isomerisms, hybridisation and geometries of mononuclear' coordination compounds (linear, tetrahedral, square planar and octahedral).

Preparation and properties of the following compounds:
Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassium         dichromate, silver oxide, silver nitrate, silver thiosulphate.
Ores and minerals: Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.

Extractive metallurgy: Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).
Principles of qualitative analysis: Groups I to V (only Ag+, Hg₂₊, Cu₂₊, Pb₂₊, Pb₂₊, BP+, Fe₃₊, Cr₃₊, Al₃₊, Ca₂₊, Ba₂₊, Zn₂₊, Mn₂₊ and Mg₂₊); Nitrate, halide (excluding fluoride), sulphate, sulphide and sulphite.

Organic Chemistry
Concepts: Hybridisation of carbon; Sigma and pi-bonds; Resonance and hyperconjugation; Shapes of molecules; Structural ­and geometrical isomerism; Optical isomerism of compounds containing up to two asymmetric centers (R/S and E/Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newmann projections); Keto­-enol tautomerism; Determination of empirical and molecular formula of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage; Formation, structure and stability of carbocations and free radicals.

Preparation, properties and reactions of Alkanes: Homologous series: Physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.

Preparation, properties and reactions of alkenes and alkynes : Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; electrophilic addition reactions of alkenes withX2, HX, HOX and H2O (X=halogen); Addition reactions of alkynes; Metal acetylides.

Reactions of benzene: Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of o­, m- and p-directing groups in monosubstituted benzenes.

Phenols: Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.

Characteristic reactions of the following (including those mentioned above): Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions, nucleophilic substitution reactions; Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCI2/conc.- HCI, conversion of alcohols into aldehydes and ketones; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition); Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic, amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes - (excluding Benzyne mechanism and Cine substitution).

Carbohydrates: Classification - mono-,di-, and polysaccharides (glucose, sucrose and starch' only); Hydrolysis of sucrose.

Amino acids and peptides : General structure and physical properties.
Properties and uses of some important polymers: Natural rubber, cellulose, nylon, teflon and PVC.
Practical organic chemistry: Detection of elements (N,S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl,-amino and nitro; Chemical methods of separation of mono-functional organic compounds from binary mixtures.

8. Courses Offered:
(A) B. Tech. (4 years duration):
(1) Aerospace Engineering­ : At Mumbai, Kanpur
(2) Agricultural and Food Engineering : At Kharagpur only
(3) Ceramic Engineering : At IT-BHU only
(4) Chemical Engineering : At Mumbai, Delhi, Kanpur, Kharagpur, Chennai, Roorkee and IT-BHU
(5) Civil Engineering : At Mumbai, Delhi, Roorkee, Kanpur, Kharagpur, Chennai and IT-BHU
(6) Computer Science and Engg : At all the eight Institutes
(7) Electrical Engineering : At Chennai only
(8) Electrical Engineering : At Mumbai, Delhi, Kanpur, Kharagpur, Roorkee and IT-BHU and Chennai
(9) Electronics and Electrical, Communications Engg. : At Guwahati, Kharagpur, Roorkee and IT-BHU
(10) Energy Engineering : At Kharagpur only
(11) Engineering Physics : At Mumbai only
(12) Industrial Engineering : At Kharagpur, Roorkee only
(13) Instrumentation Engineering : At Kharagpur only
(14) Manufacturing Science and Engineering : At Delhi and Kharagpur
(15) Materials and MetallurgicalEngineering : At Mumbai, Kanpur and Kharagpur
(16) Mechanical Engineering : At all the eight Institutes
(17) Metallurgical Engineering : At Chennai, Roorkee and IT-BHU
(18) Mining Engineering : At Kharagpur and IT-BHU
(19) Ocean Engineering and Naval Architecture : At Kharagpur
(20) Naval Architecture : At Chennai only
(21) Textile Technology : At Delhi only

(B) B. Arch. (5 years duration)
(22) Architecture: At Kharagpur only : At Kharagpur only

(C) Integrated M.Sc. (5 years duration)
(23) Applied Geology : At Kharagpur only
(24) Chemistry : At Mumbai, Kharagpur and Kanpur
(25) Exploration Geophysics : At Kharagpur only
(26) Mathematics and Computing : At Kharagpur only
(27) Mathematics and Computer Applications : At Kanpur only
(28) Physics : At Kanpur and Kharagpur
(29) Statistics: At Kanpur only

(D) Integrated M.Tech. (5 years duration)
(30) Biotechnology and Biochem. Engg. : At Kharagpur only
(31) Mathematics and Computing: At Delhi only

(E) Integrated M.Tech. (5 years duration)-Dual Degree
(32) Chemical Process : At Mumbai only.
(33) Electrical Communication: At Mumbai only.
(34) Mechanical CAD : At Mumbai only.
(35) Mechanical CAM. : At Mumbai only.
(36) Electrical Microelectronics: At Mumbai only.
(37) Mechanical TFE : At Mumbai only.

(F) Integrated M.Tech. (5% years duration)-Dual Degree
(38) Biotechnology: At Kharagpur only.
9. Previous up-to-date papers have been solved in
"Careers Guide to New-Pattern IIT-JEE Three-in-One.