ENTRANCE EXAMS: IIT

IIT

IIT ENTRANCE 2012 COMPLETE DETAILS........

Contact Address for the IIT JEE

Address: Indian Institute of Technology Delhi, Hauz Khas, New Delhi - 110 016, INDIA
FAX: (91) 011-2658 2037, (91) 011-2658 2277
Website: www.iitd.ac.in
Email: webmaster@admin.iitd.ac.in

The Joint Entrance Examination (JEE) is carried out annually by the Indian Institute of Technology (IIT) for the admittance of students into the B.Tech courses offered at the institution.

PREVIOUS Years questions papers solved

Structure of the Joint Entrance Examination (IIT JEE)
The IIT JEE encompasses of 2 papers. Each of these papers has a time period of 2 hours. The questions asked will be of the objective nature. The questions asked shall be from:

Chemistry
Mathematics
Physics

Some sections might contain negative marking. Applicants who get chosen for the B.Design and B. Architecture programs will have to appear for the Aptitude Test. This shall be performed by specific institute at the time of counseling.

IIT JEE 2012 Notification / Important Dates:-

register here : http://jeeonline.iitd.ac.in/

Start of Online application process	Monday	October 31, 2011
Closing of Online application process	Saturday	December 10, 2011
Start of Offline OMR Application Forms sale	Friday	November 11, 2011
Close of Offline OMR Application Forms sale	Monday	December 5, 2011
Last date of receipt completed IIT-JEE 2012 Application Form	Thursday	December 15, 2011
IIT-JEE 2012 examination day	Sunday	April 8, 2012
Declaration of Results	Friday	May 18, 2012
Online filling of CHOICES open to ALL the qualified candidates	Saturday to Sunday	May 19-June 10, 2012
Last date for receiving category certificates	Friday	June 1, 2012
Architecture/Design Aptitude Test	Sunday	June 3, 2012
Medical examination and counselling for qualified PD Candidates (the schedule will be announced on the IIT websites)	Monday to Wednesday	June 4-6, 2012
Last date for receiving admission form and medical certificate at zonal IITs	Friday	June 8, 2012
Web Release of First Course Allotment	Thursday	June 14, 2012
Web Release of Second Course Allotment	Monday	June 25, 2012
Web Release of Third Course Allotment	Friday	July 6, 2012

OMR Application form cost including processing charges of RS 200/-

Form for GE/OBC Male candidates	RS 1800
Form for SC/ST/PD Male candidates	RS 1000
Form for All Female candidates	RS 200

CLICK TO GET LIST OF BANK BRANCHES FOR OFFLINE IIT JEE 2012 FORMS IN INDIA

INFORMATION BROCHURE 2012 IITJEE

FORMAT OF REQUEST LETTER FOR QUESTION PAPERS PRINTED IN LARGER FONT FOR 2012 IITJEE

FORM OF CERTIFICATE TO BE PRODUCED BY SCHEDULED CASTES AND SCHEDULED TRIBES CANDIDATES FOR 2012 IITJEE

FORM OF CERTIFICATE TO BE PRODUCED BY OTHER BACKWARD CLASSES APPLYING FOR ADMISSION TO CENTRAL EDUCATIONAL INSTITUTIONS (CEIs), UNDER THE GOVERNMENT OF INDIA FOR 2012 IITJEE

Syllabus of the Exam
The comprehensive syllabuses of the IIT JEE are as follows:
Chemistry

Physical chemistry
Atomic structure and chemical bonding
Chemical equilibrium
Chemical kinetics
Electrochemistry
Energetics
Gaseous and liquid states
General topics
Nuclear chemistry
Solid state
Solutions
Surface chemistry
Inorganic Chemistry
Extractive metallurgy
Preparation and properties of the following compounds
Principles of qualitative analysis
Transition elements (3d series)
Organic Chemistry
Amino acids and peptides
Carbohydrates
Phenols
Practical organic chemistry
Preparation, properties and reactions of alkenes and alkynes
Properties and uses of some important polymers
Reactions of benzene

Physics

Electricity and magnetism
General
Mechanics
Modern physics
Optics

Mathematics

Algebra
Analytical geometry (Two dimensions & Three dimensions
Differential calculus
Integral calculus
Trigonometry
Vectors

Syllabus for Aptitude Test

Architectural awareness
Freehand drawing
Geometrical drawing
Imagination and aesthetic sensitivity
Three-dimensional perception

Applicants are advised to bring with them their geometry box sets, and other requirements for the Aptitude Test.
Language of the IIT JEE Exam
Students can answer the IIT JEE paper in either Hindi or English languages. The preference of the students is to be noted correctly in the admission form. This is because students who have not indicated their language preferences will have to write the exam in English.
Eligibility Criteria for IIT JEE Exam

The eligibility needed by one to write this exam is a pass in standard XII.
Applicants can appear for this exam only twice, that too in the consecutive years.
Applicants must have a both mentally and physique healthy.
Those who are going to give their final exams can apply as well.

How to Apply for IIT JEE Exam?
Applicants can apply for the IIT JEE exam by the online or offline methods.
Offline method
Applicants can purchase the admission form from any of the Union Bank branches. The price of the form is Rs. 500/- for reserved category students and Rs.1000/- for other categories. Other option is to buy it directly from any of the IIT’s.
Online method
Students can visit any of the IIT websites and fill the form online. Once you have filled in the details, you can take a print of the form and send it to the concerned address alongside the challan. The fees can be paid at any branch of the Union bank.
Rules for Reservation for IIT JEE Exam
The reservation put forward by the Indian government are as follows:

SC candidates - 15% seats
ST candidates - 7.5% seats
OBC candidates - 27% seats
leprosy-cured candidates - 3%

How to fill the Form?
Admission forms must be filled in clearly without causing any damage to the OMR sheet. As the details you print will be checked in an automatic machine, you must ensure that everything is written in a clean and legible order. Students can also take a copy of the application and first fill in it. This is a very good method as any mistakes that you have made in the copy can be ignored and the correct details can be filled in the original application. The application must be filled in with an HB pencil. It should also be written in the English language only. Those applications that do not follow the rules aforementioned shall be rejected.
Important Dates for IIT JEE exam

Sale of Application: mid of November
Last date for the reception of Application forms (post): middle of December
Last date for the reception of Application forms (at IIT’s by hand): last week of December
Joint Entrance Exam will be performed on: April 2nd week.
The result of the exam shall be announced on the mid week of May.

List of IIT JEE centers
Details of the IIT JEE centers and their codes are as given:
IIT Mumbai Zone
Goa

Panaji - 101

Gujarat

Ahmedabad - 102
Rajkot- 103
Surat-104
Vadodara- 105

Karnataka

Belgaum-106

Maharashtra

Aurangabad- 107
Latur-108
Mumbai - 109
Nagpur - 110
Nashik - 111
Navi Mumbai - 112
Pune - 113
Thane - 114

Rajasthan

Ajmer - 115
Bikaner - 116
Jaipur - 117
Jodhpur - 118
Udaipur - 119

IIT Delhi Zone
Delhi

Delhi (East) - 201
Delhi (West) - 202
Delhi (North) - 203
Delhi (South) - 204
Delhi (Central) - 205

Haryana

Ballabgarh - 206
Faridabad - 207
Gurgaon - 208

Jammu & Kashmir

Jammu - 209

Madhya Pradesh

Indore - 210
Ujjain - 211

Uttar Pradesh

Aligarh - 212
Gautam Budh Nagar (Noida) - 213
Ghaziabad - 214
Mathura - 215

UAE

Dubai- 216

IIT Guwahati Zone
Arunachal Pradesh

Itanagar - 301

Assam

Dibrugarh - 302
Goalpara -303
Guwahati - 304
Silchar - 305
Tezpur - 306

Bihar

Bhagalpur - 307
Gaya - 308
Katihar -309
Muzaffarpur - 310
Patna - 311

Manipur

Imphal - 312

Meghalaya

Shillong - 313

West Bengal

Siliguri - 314

IIT Kanpur Zone
Madhya Pradesh

Bhopal - 401
Gwalior - 402
Jabalpur - 403

Uttarakhand

Nainital - 404
Pantnagar - 405

Uttar Pradesh

Agra - 406
Allahabad - 407
Gorakhpur - 408
Jhansi - 409
Kanpur - 410
Lucknow - 411
Raibareli - 412

IIT Kharagpur Zone
Andaman and Nicobar Island

Port Blair - 501

Andhra Pradesh

Visakhapatnam - 502

Chhatisgarh

Bhilai - 503
Bilaspur - 504
Raipur - 505

Jharkhand

Bokaro - 506
Dhanbad - 507
Jamshedpur - 508
Ranchi - 509

Orissa

Balasore - 510
Berhampur - 511
Bhubaneswar - 512
Cuttack - 513
Rourkela - 514
Sambalpur - 515

Sikkim

Gangtok - 516

Tripura

Agartala - 517

West Bengal

Asansol - 518
Barddhamana - 519
Belur - 520
Durgapur - 521
Kharagpur - 522
Kolkata (North) - 523
Kolkata (Salt Lake) - 524
Kolkata (South) - 525
Malda- 526

IIT Madras Zone
Andhra Pradesh

Bapatla - 601
Guntur - 602
Hyderabad - 603
Nellore - 604
Tirupathi - 605
Vijayawada - 606
Warangal - 607

Karnataka

Bangalore - 608
Mangalore - 609
Mysore - 610

Kerala

Kochi - 611
Kozhikode - 612
Palakkad - 613
Thiruvananthapuram - 614
Thrissur - 615

Puducherry

Pondicherry - 616

Tamil Nadu

Chennai - 617
Coimbatore - 618
Madurai - 619
Salem - 620
Tiruchirappalli - 621
Tirunelveli - 622

IIT Roorkee Zone
Chandigarh

Chandigarh - 701

Haryana

Ambala - 702
Kurukshetra - 703
Panipat - 704
Rohtak - 705
Sonipat - 706
Yamuna Nagar - 707

Himachal Pradesh

Mandi - 708
Palampur - 709
Shimla - 710

Punjab

Amritsar - 711
Bhatinda - 712
Jalandhar - 713
Ludhiana - 714
Patiala - 715

Uttarkhand

Dehradun - 716
Roorkee - 717

Uttar Pradesh

Bareilly - 718
Meerut - 719
Moradabad - 720
Saharanpur - 721
Varanasi - 722

Colleges Accepting the IIT JEE Score
These are the institutions in India that accept the JEE scores:

IIT Bhubaneshwar
IIT Bombay
IIT Delhi
IIT Gandhinagar
IIT Guwahati
IIT Hyderabad
IIT Indore
IIT Kanpur
IIT Kharagpur
IIT Madras
IIT Mandi
IIT Patna
IIT Rajasthan
IIT Roorkee
IIT Ropar

Non-IIT institutes accepting IIT-JEE Score:

IT-BHU
ISM-Dhanbad
Indian Institute of Science-Bangalore

Reference Books for IIT JEE

Reference books are the next best teachers after school. They offer students with all the right information regarding their studies and more. Here are a few IIT JEE reference books:

Physics:

Advanced Level Physics
Concepts of Physics Volume I and II
Dynamics of a Particle & of Rigid Bodies
Elements of Dynamics Part I & II
Fundamentals of Physics
Problems in General Physics
The Feynman Lectures on Physics Volume 1 & Volume 2
University Physics

IIT JEE Physics Syllabus 2012:-

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; Uniform Circular motion; 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.Â

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.

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 monoatomic 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);Â 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's 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.Â

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;Â 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:

General Chemistry
IIT Chemistry
NCERT Chemistry XI and XII
Organic Chemistry
Physical Chemistry

IT JEE Chemistry Syllabus 2012:-

Physical chemistry:-

General topics: 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:Â Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, 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;Â 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:Â Law of mass action; Equilibrium constant, Le Chatelier;s principle (effect of concentration, temperature and pressure); Significance of Î”G and Î”GÂ° in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Â 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 Î”G; Electrochemical series, emf of galvanic cells; Farada's laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch's law; Concentration cells.

Chemical kinetics:Â 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, Î±, Î², Î³), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.

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

Surface chemistry:Â 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:Â Radioactivity: isotopes and isobars; Properties of Î±, Î² and Î³ 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;Â 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 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+,Â Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide.

Organic Chemistry:-

Concepts: Hybridisation of carbon; Sigma and pi-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism;Â Optical isomerism of compounds containing up to two asymmetric centres, (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 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;Â 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 (X=halogen) and H2O;Â Addition reactions of alkynes; Metal acetylides.

Reactions of benzene: Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect ofÂ 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):Â Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions,Â nucleophilic substitution reactions;Â Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers:Preparation by Williamsonâ€™sÂ Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition);Â 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.

Mathematics:

Higher Algebra by Hall & Knight
Maths XI & XII
Problems in Calculus of One Variable by I.A. Maron
S.L. Loni’s Co-ordinate Geometry
S.L. Loni’s Plane Trigonometry Part I

IIT JEE Mathemtics Syllabus 2012:-

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, geometricÂ 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 andÂ 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 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;Â 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 pointsÂ ofÂ 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, 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, 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, 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, separation of variables method, linear first order differential equations.

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

Expected sectional cutoffs

IIT JEE cutoffs for the year 2008:

Students who secured more than 400 marks were placed amongst the top 10 ranks.
Students who secured marks in between 399-370 were ranked amongst 10-100 ranks.
Students who secured marks in between 369-340 were ranked amongst 100-200 ranks.
Students who secured marks in between 339-310 were ranked amongst 200-500 ranks.
Students who secured marks in between 309-290 were ranked amongst 500-1000 ranks.
Students who secured marks in between 289-270 were placed amongst 1000-1500 ranks.
Students who secured marks in between269-250 were placed amongst 500-2000 ranks.
Students who secured marks in between 249-230 were placed amongst 2000-3000 ranks.
Students who secured marks in between 229-210 were placed amongst 3000-4000 ranks.
Students who secured marks in between 209-190 were placed amongst 4000-5000 ranks.
Students who secured marks in between189-185 were placed amongst 5000-6000 ranks.

IIT JEE cutoffs for the year 2007:

Applicants who scored more than 400 marks ranked in the top 20.
Applicants who secured marks in between 370-400 were ranked amongst 20-100 positions.
Applicants who secured marks in between 350-370 were ranked amongst 100-200 positions.
Applicants who secured marks in between 330-350 were ranked amongst 200-500 positions.
Applicants who secured marks in between 310-330 were ranked amongst 500-730 positions.
Applicants who secured marks in between 300-310 were ranked amongst 730-1000 positions.
Applicants who secured marks in between 290-300 were ranked amongst 1000-1300 positions.
Applicants who secured marks in between 280-290 were ranked amongst 1300-1700 positions.
Applicants who secured marks in between 270-280 were ranked amongst 1700-2000 positions.
Applicants who secured marks in between 260-270 were ranked amongst 2000-2500 positions.
Applicants who secured marks in between 250-260 were ranked amongst 2500-3000 positions.
Applicants who secured marks in between 240-250 were ranked amongst 3000-3900 positions.
Applicants who secured marks in between 230-240 were ranked amongst 3900-4700 positions.
Applicants who secured marks in between 225-230 were ranked amongst 4700-5000 positions.
Applicants who secured marks in between 220-225 were ranked amongst 5000-6000 positions.