MCA Entrance Exam : IIT JAM : IIT JAM Mathematics Syllabus 2015

IIT JAM Mathematics Syllabus 2015

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IIT JAM 2015 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 differe ntiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and pplications. Calculating volumes using triple integrals and applications.

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 : Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank – nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley – Hami lton theorem. Symmetric, skew – symmetric, hermitian, skew – hermitian, orthogonal and unitary matrices.

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.

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10 Responses to “IIT JAM Mathematics Syllabus 2015”

  • What are the best books for JAM Mathematics
    By Madhu Padikar from Banagalore on October 5, 2014 at 9:21 pm
  • Sir, I am graduate B.A. from mathematics. May I apply IIT JAM for MSc? pls reply me
    By MONIKA CHAUDHARY from MATHURA (U.P.) on August 19, 2014 at 8:46 pm
  • please ask to me what is prosess of admission in IIT JAM collage . and what is the requied in exam. prepration.
    By shubham chhipa from udaipur on June 25, 2014 at 5:12 pm
  • I really like your blog.. Excellent information about IIT JAM.. Thank you so much for sharing it...
    By Alpha Plus Delhi from New Delhi on April 1, 2014 at 4:29 pm
  • 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 ...
    By Mohini Singh from naupur ,jaunpur[U.P.] on February 5, 2014 at 11:40 pm
  • I WANT TO THAT WHICH BOOKS HELP US FOR IIT JAM ON MATHS
    By TAMAL CHOUDHURY from kolkata,WEST BENGAL on October 20, 2013 at 8:41 pm
  • let me know best book for iit jam maths.... it should not be a model test paper type one....
    By shruti from saharanpur, uttar pradesh on September 30, 2013 at 1:12 pm
  • excellent growth providers for the students thanking for giving the opportunity....................
    By J. SUBRAMANYAM from vizag,andhra pradesh on November 23, 2012 at 11:57 am
  • send this iit jam mathematics syllabus
    By b narsunaidu from vizag,andhra pradesh on September 14, 2012 at 11:22 pm
  • Very Useful
    By Surya from Tamil Nadu on May 27, 2012 at 12:56 pm