JEE Advanced Mathematics Syllabus 2019 – Get PDF Here for Free

The Authority has released JEE Advanced Mathematics Syllabus 2019 for the current academic year. Those candidates who only want to check the Mathematics syllabus are requested to check the complete Syllabus here, and also PDF is available for free Download.

JEE Advanced Syllabus- PDF Available

NewJEE Advanced Mathematics Syllabus has been released. Click Here to Download the PDF.

AlgebraAlgebra 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, the 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.

MatricesMatrices 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 ask
ProbabilityAddition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of the probability of events using permutations and combinations.
TrigonometryAddition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of the likelihood of events using permutations and combinations.
Analytical GeometryTwo dimensions: Cartesian coordinates, the distance between two points, section formulae, the shift of origin.

The equation of a straight line in various forms, angle between two lines, the distance of a point from a line; Lines through the point of intersection of two given lines, the equation of the bisector of the angle between two lines, concurrency of lines; Centroid,

orthocentre, incentre, and circumcentre of a triangle.

The equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, the intersection of a circle with a straight line or a circle, the comparison 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, the equation of a straight line in space, the equation of a plane, a distance of a point from a plane.

Differential CalculusReal-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, the inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

A derivative of a function, a 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 calculusIntegration 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, a solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

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

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