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JEE Advanced Mathematics syllabus

JEE mains mathematics syllabus JEE Advanced Mathematics Syllabus

JEE Advanced Mathematics Syllabus

Topic of JEE Advanced Mathematics Syllabus 

(i) Algebra (ii) Logarithms and their properties. (iii) Trigonometry (iv) Analytical geometry (v) Locus Problems (vi) Differential calculus (v) Integral calculus (vi) Vectors

Sub-Topic of JEE Advanced Mathematics Syllabus

JEE Advanced 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.

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Click Here JEE Mains Full length complete syllabus Sample Papers with Solution

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JEE Advanced Mathematics : 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, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Advanced Mathematics : 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).

Advanced Mathematics : 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.

Advanced Mathematics : 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.

Advanced Mathematics : 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 & 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.

Advanced Mathematics : 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.

Advanced Mathematics : Vector 

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

 

Download JEE Question Paper

Download JEE Mains previous years question Paper with Solution


Click Here JEE Mains Full length complete syllabus Sample Papers with Solution


Click Here JEE Advanced Full length complete syllabus Practice Paper with Solution

Significant Instruction

  1. Students of JEEmains – 2016 have to apply online only. There is no printed application form for JEEmains.

  2. Please ensure that you are filling genuine application form available online at JEEmains website (www.jeeMains.nic.in).

  3. Please ensure eligibility as per the criteria laid down for JEEmains, JEEadvanced and participating State Institutions (as applicable).

  4. The fee (in Indian Rupees) for JEEmains – 2016 is as follows:

Paper(s) Appearing Pen and Paper Based Exams Computer Based Examination

(Paper-I (B. E./ B. Tech.) only)

(General/ OBC) (SC / ST / PwD) (General / OBC) (SC / ST / PwD)

FOR EXAMINATION CENTRE OPTED IN INDIA

JEEmains Paper-I (B.E./B.Tech.) or JEEmains Paper-2 (B. Arch./ B. Planning) only 1000 (Boys) 500 (Girls) 500 (Boys) 500 (Girls) 500 (Boys) 250 (Girls) 250 (Boys) 250 (Girls)
Both JEEmains Paper-I (B.E./B.Tech.) and JEEmains Paper-II (B.Arch./ B. PIanning) 1800 (Boys) 900 (Girls) 900 (Boys) 900 (Girls) 1300 (Boys) 650 (Girls) 650 (Boys) 650 (Girls)
FOR EXAM CENTRE OPTED IN FOREIGN COUNTRY
JEEmains Paper-I (B.E. /B.Tech.) or JEEmains Paper-II (B.Arch./B. Planning) only 2500 (Boys) 1250 (Girls) 1250 (Boys) 1250 Girls) 2500 (Boys) 1250 (Girls) 1250 (Boys) 1250 (Girls)
Both JEEmains Paper-I (B.E./B.Tech.) and JEEmains Paper-II (B.Arch./ B.PIanning) 3800 (Boys) 1900 (Girls) 1900 (Boys) 1900 (Girls) 3800 (Boys) 1900 (Girls) 1900 (Boys) 1900 (Girls)

Candidates, who qualified in class 12th / qualifying Examination in 2011 or 2012, and have not opted for improvement of performance in 2013. Copy of their Final marks- sheet/ marks statement of Class 12th /Qualifying Examination of year 2011 or 2012 required to be brought and submitted to the invigilator at the Centre after writing JEE Main Roll No. on it.

Candidates, who qualified in class 12th / qualifying Examination in 2011 or 2012, and have opted for improvement of performance in 2013 in all subjects. Copy of their Admit card/Hall ticket for improvement of performance in Class 12th /Qualifying Examination 2013. required to be brought and submitted to the invigilator at the Centre after writing JEE Main Roll No. on it.

Candidates, who are appearing in class 12th / qualifying examination in 2013. Copy of their Admit card/Hall ticket for class 12th/Qualifying Examination 2013 required to be brought and submitted to the invigilator at the Centre after writing JEE Main Roll No. on it.

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Updated: July 15, 2018 — 1:28 pm
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