The syllabus for the prestigious entrance examination, IITJEE is divided into four sets, i.e, Chemistry, Mathematics, Physics and Aptitude test.
Lets us know in detail the syllabus for each of the subjects. Preparing about the same in proper passion may guide you to shine at the next IIT exam.
The following syllabus is in adherence to the norms of IIT JEE (Courtesy: jee.iitr.ernet.in).
Chemistry
 Physical Chemistry:
 General:
Concept of atoms and molecules; Daltons atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidationreduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, morality, modality 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; Waveparticle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbital; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Paulis exclusion principle and Hunds rule; Orbital overlap and covalent bond; Hybridization involving s, p and d orbital 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).
 Energetic:
First law of thermodynamics; Internal energy, work and heat, pressurevolume work; Enthalpy, Hesss law; Heat of reaction, fusion and vaporization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.
 Chemical equilibrium:
Law of mass action; Equilibrium constant, Le Chateliers principle (effect of concentration, temperature and pressure); Significance of DG and DGo 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; Standard electrode potentials; Nernst equation and its relation to DG; Electrochemical series, emf of galvanic cells; Faradays laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrauschs law; Concentration cells.
 Chemical kinetics:
Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrheniusequation).
 Solid state:
Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbors, ionic radii, simple ionic compounds, point defects.
 Solutions:
Raoults 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 rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to protonneutron ratio;
 Inorganic Chemistry:
Isolation/preparation and properties of the following nonmetals: 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 (phosphorus 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.
 Transition elements (3d series):
Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spinonly magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cistransand ionization isomerism, hybridization 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,silverthiosulphate.
 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+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphates and sulphide.
 Organic Chemistry:
 Concepts:
Hybridization of carbon; Sigma and pibonds; Shapes of simple organic 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, monofunctional and bifunctional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyper conjugation; Ketoenol automatism; Determination of empirical and molecular formulae 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, carbanions 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 with X2, HX, HOX and H2O (X=halogen); Addition reactions of alkynes; Metal acetylides.
 Reactions of benzene:
Structure and aromatic; Electrophilic substitution reactions: halogenation, nitration, sulphonation, FriedelCrafts alkylation and acylation; Effect of o, m and pdirecting groups in monosubstituted benzenes.
 Phenols:
Acidity, Electrophilic substitution reactions (halogenation, nitration and sulphonation)ReimerTieman 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, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamsons Synthesis; 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 and disaccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.
 Amino acids and peptides:
General structure (only primary structure for peptides) 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 (aldehydes and ketone), carboxyl, amino and nitro; Chemical methods of separation of monofunctional organic compounds from binary mixtures.
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.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar 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 skewsymmetric matrices and their properties.
Bays Theorem, independence of events, computation of probability of events using permutations and combinations.
 Logarithms and their properties:
Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients. Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar 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 skewsymmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, 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 submultiple angles, general solution of trigonometric equations.
 Analytical geometry:
 Two dimensions:
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.
Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.
 Locus Problems:
 Three dimensions:
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 onetoone functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic 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 two, geometrical interpretation of the derivative, tangents and normal, increasing and decreasing functions, maximum and minimum values of a function, Rolles Theorem and Lagranges Mean Value Theorem.
 Integral calculus:
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties,
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
 Vectors:
Vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
Physics
 General:
Units and dimensions, dimensional analysis; 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, Youngs modulus by Searles method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using uv method, Speed of sound using resonance column, Verification of Ohms law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
 Law of gravitation, Gravitational potential and field, Acceleration due to gravity:
Motion of planets and satellites in circular orbits; escape velocity,
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.
 Pressure in a fluid:
Pascals law Buoyancy surface energy and surface tension capillary rise Viscosity (Poiseuilles equation excluded), Stokes law; Terminal velocity, Streamline flow, equation of continuity, Bernoullis 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; Newtons law of cooling; Ideal gas laws; Specific heats (Cv and Cp 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; Kerchiefs law; Wiens displacement law, Stefans law.
 Electricity and magnetism:
Coulombs 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; Gausss 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; Ohms law; Series and parallel arrangements of resistances and cells; Kirchhoffs laws and simple applications; Heating effect of current.
Biot Savarts law and Amperes law; Magnetic field near a currentcarrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a currentcarrying wire in a uniform magnetic field.
 Electromagnetic induction:
Faradays law Lenzs 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: Huygens principle, interference limited to Youngs doubleslit experiment.
 Modern physics:
Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay; Decay constant; Halflife and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
Aptitude Test
This test is basically for architect aspirants. They get their material on the spot at the examination centers. An aptitude test may include tests in various departments of intelligence.
Conclusion:
Students have dreams to become an engineer and flocks of them prepare for the same each year and appear for the exam.
However, preparing according to the above norms of the IIT JEE can take a contender to a new level of educational excellence and also to the prominent IITs institute.
