JEE Syllabus 2016
IIT JEE Syllabus 2016
Main & Advanced
|1||General: Units and dimensions||1||Mechanics|
|2||Thermal physics||2||Electricity and Magnetism|
|4||Wave Nature of light||4||Modern Physics|
|5||Electronic Devices||5||Communication Systems|
|S.No.||Physical Chemistry||Inorganic Chemistry||Organic Chemistry|
|1||General topics||Classification of elements
and periodicity in properties
|2||Gaseous and liquid states||Isolation/preparation and
properties of the following non-metals
|Purification and Characterisation
of organic compounds
|3||Energetics||Hydrogen||Some Basic Principles of Organic Chemistry|
|4||Chemical Equilibrium||S- Block Elements||Preparation, Properties and Reactions of Alkanes|
|5||Ionic Equilibrium||P Block Elements|
|6||Redox and Electrochemistry||D and F Block Elements||Hydrocarbons|
|7||Chemical Kinetics||Coordination Compounds||Organic compounds containing halogens|
|8||Solid State||Atoms and Nuclei||Preparation, properties and reactions of alkenes and alkynes|
|9||Solutions||Environmental Chemistry||Reactions of Benzene|
|10||Surface Chemistry||Preparation and properties of compounds:
Oxides, peroxides, hydroxides
|11||Nuclear Chemistry||Transition Elements||Phenols|
|12||Ores and Minerals||Ethers|
|13||Extractive Metallurgy||Aldehydes and Ketones|
|14||Principles of qualitative analysis||Amines and Diazonium Salt|
|16||Chemistry in Everyday life|
|17||Amino Ccids and Peptides|
|18||Properties and uses of
some important polymers
|19||Practical Organic Chemistry|
|2||Logarithms||2||Sequence & Series|
|3||Mathematical Induction||3||Permutations and Combinations, Binomial Theorem|
|6||Differential Calculus||6||Integral calculus|
Algebra Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
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 Sequence & Series Arithmetic & geometric progression insertion of arithmetic, geometric means between two given numbers, Relation between A.M & G.M . Sum upto n terms of special series: Sn, Sn2, Sn3 . Arithmetic ? geometric progression!
Mathematical Induction Principle of Mathematics Induction & its simple applications.
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, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Statistics Measure of Dispersion. Calculation of mean, median, mode of grouped & ungrouped data calculation of standard deviation, variance and mean deviation for grouped & ungrouped data.
Trigonometry Trigonometric identities & 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).
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 bisectorof 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.
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.
Vectors Addition of vectors, scalar multiplication, scalar products, dot and cross products, scalar triple products and their geometrical interpretations.