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JEE Advanced 2015: Syllabus for Mathematics

JEE (advanced) to be conducted by the Indian Institute of Technology (IIT) is scheduled to be held on 24 May. I document that will be held between 9 and 12 pm and Paper II will be held from 2 to 5 pm. The examination will be held for a duration of three hours for each paper.

Syllabus JEE (advanced) mathematics is divided into six parts:



Analytic geometry

Differential Calculus

Integral Calculus



Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations

Given Hisab with real coefficients, relations between roots and coefficients, formation of Hisab roots, symmetric functions of roots

Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums 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

Arrays of a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and a matrix, transpose of a matrix, determinant of a square matrix of order three, inverse square order up to three properties of these matrix operations, diagonal, symmetric and antisymmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables

Rules of addition and multiplication of probability, conditional probability, Bayes theorem, independence of events, calculating the probability of events using permutations and combinations


Trigonometric functions, their periodicity and graphs, formulas of addition and subtraction, multiple forms of participation and sub-multiple angles, general solution of trigonometric equations

Relations between the sides and angles of a triangle, sine rule, cosine rule, half angle formula and the area of ​​the triangle, inverse trigonometric functions (only main value)

Analytic geometry:

Two dimensions: Cartesian coordinates, the distance between two points, section formulas, 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 lines given the equation of the bisector of the angle between two lines, concurrent lines; Centroid, orthocentre, incenter and circumcenter of a triangle

Equation of a circle in various forms, equations of tangent, normal and agreements

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 a circle and a line.

Equations ellipse, parabola and hyperbola in standard form, the focus, and improved eccentricity, parametric equations, equations of the tangent and normal

Locus problems

Three dimensions: direction cosines and direction ratios, equation of a straight line in space, the equation of a plane, distance of a point from a plane

Differential calculus:

Real valued functions of a real variable in, and about individual functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial functions, rational, trigonometric, exponential and logarithmic

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 functions, continuity of composite functions, intermediate value property of continuous functions

Derivative of a function, derived from the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, inverse trigonometric functions exponential, logarithmic and trigonometric

Derivative of a function derived geometric interpretation to two, order derivatives, cos i, increasing and decreasing functions, maximum and minimum values ​​of a function, Rolle theorem and the theorem of Lagrange means value

Integral Calculus:

Integration as the inverse process of differentiation, indefinite functions standards Bosworth and their properties, the fundamental theorem of integral calculus.

Integration by parts, integration by substitution methods and rational fractions, application of definite integrals to calculate the determination of areas involving simple curves

Formation of ordinary differential equations, homogeneous solution of differential equations, separation of variables method, linear first order differential equations


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

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