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```        may i knw the syllabus for IIT JEE 2012
```
7 years ago

419 Points
```										Dear Prabhav
JEE Mathematics Syllabus
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.
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 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, half-angle formula and the area of a triangle, inverse  trigonometric functions (principal value only).
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.
Equation of a circle in various forms, equations of tangent, normal and chord.
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 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, l'Hospital rule of evaluation of limits of 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 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.

JEE Chemistry Syllabus
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 s, 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 s, 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 of reaction,  fusion and vapourization; 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 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;  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 vapor 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 (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; Fertilizers: 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,  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, 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+, Bi3+, Fe3+, Cr3+,  Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and  Mg2+); Nitrate, halides (excluding fluoride), sulphate, sulphide and  sulphite.
Organic Chemistry
Concepts: Hybridisation of carbon; Sigma and pi-bonds; 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 (Newman projections); Resonance and  hyperconjugation; 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, 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 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, ZnCl2/conc.-HCl, 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 and di-saccharides (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 (aldehyde and  ketone), carboxyl, amino and nitro; Chemical methods of separation of  mono-functional organic compounds from binary mixtures.

JEE Physics Syllabus
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, 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  non-uniform); Relative velocity.
Newton's laws of motion; Inertial 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 and 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 (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;  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.

JEE Syllabus for Aptitude Test in B. Arch. & B. Des.
Freehand drawing: This would comprise of simple drawing depicting  the total object in its right form and proportion, surface texture,  relative location and details of its component parts in appropriate  scale. Common domestic or day-to-day life usable objects like furniture,  equipment, etc., from memory.
Geometrical drawing: Exercises in geometrical drawing containing  lines, angles, triangles, quadrilaterals, polygons, circles etc. Study  of plan (top view), elevation (front or side views) of simple solid  objects like prisms, cones, cylinders, cubes, splayed surface holders  etc.
Three-dimensional perception: Understanding and appreciation of  three-dimensional forms with building elements, colour, volume and  orientation. Visualization through structuring objects in memory.
Imagination and aesthetic sensitivity: Composition exercise with  given elements. Context mapping. Creativity check through innovative  uncommon test with familiar objects. Sense of colour grouping or  application.
Architectural awareness: General interest and awareness of famous  architectural creations - both national and international, places and  personalities (architects, designers etc. ) in the related domain.

All the best.
AKASH GOYAL

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```
7 years ago
tushit jain
18 Points
```										are u sure that the syllabus is same..
and is the syllabus same for BITS entrance and other college entrances..
```
6 years ago
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