**IIT JAM 2018 Mathematics Syllabus**

**Sequences, Series and Differential Calculus : **Sequences and Series of real numbers : Sequences and series of real numbers. Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms – comparison test, ratio test, root test, Leibnitz test for convergence of alternating series.

**Functions of one variable : **mit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor’s theorem. Maxima and minima.

**Functions of two real variable : **Limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem.

**Integral Calculus : **Integration as the inverse process of differentiation, definite integrals and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.

**Differential Equations : **Ordinary differential equations of the first order of the form y’=f(x,y). Bernoulli’s equation, exact differential equations, integrating factor, Orthogonal trajectories, Homogeneous differential equations – separable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy – Euler equation

**Vector Calculus : **Scalar and vector fields, gradient, divergence, curl and Lapla cian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green’s, Stokes and Gauss theorems and their applications.

**Group Theory : **Groups, subgroups, Abelian groups, non – abelian groups, cyclic groups, per mutation groups; Normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms and basic concepts of quotient groups ( only group theory ).

**Linear Algebra : **Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem.

**Real Analysis : **Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series ( of real variable ) including Taylor’s and Maclaurin’s, domain of convergence, term – wise differentiation and integration of power series.

The Syllabus didn’t change every year..Sometimes it may vary..For more details refer the following link : http://www.winentrance.com/mca_entrance_exam/iit_jam/

Is this syllabus will change every year ??

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sir, syllabus for statistic(MS)and mathematics(MA) are same or not for jam exam.thanx sayak(2nd yr stat (h)student.

sir i am Bsc., mathematics final year

Forth semester one subject fail

clear then fifth semester

so iam elegiblity in jam 2017

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IIT JAM full syllabus

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sir,please suggest me how I can cover this vast Syllabus.please tell me some books regarding for this syllabus which are the best to gain details knowledge about this syllabus.

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IIT -JAM Mathematics ka jo syllabus hai vo to bilkul hamare B.Sc. ke math ke syllabus se match karta hai I understand ,that jo bhi student iski taiyari kiya hai vo ish tarah ke entrance ko absorb kar sakta hai …

I WANT TO THAT WHICH BOOKS HELP US FOR IIT JAM ON MATHS

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