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how we prepare for iit jam mathematics for 2013...Please tell me how to do it

With keen study of mathematics.. & repeat study of physics & chemistry u can approach IIT EXAM

if you interest in IIT JAM examination then prepared
well for examination per the pattern and syllabus.
the syllabus and previous year paper of
examination is available in the official website so
download the syllabus from the website and start
practicing. you have to note down important
points and make the short notes. so prepared well
for exam ...all the best..

go through the different books and perform various test series. some books are
1) IIT - JAM joint admission test M.Sc. mathematics (paperback) by anand kumar.
2) IIT - JAM M.sc. join admission test for M.sc. mathematics: previous years' solved paper (paper back) by RPH editorial board.

and the syllabus for iit jam 2014 is 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.

I HOPE THIS POST WILL YOU

I think IIT JAM Maths by R. Gupta is a more widely used book so go in for that. You can also try Tata Magraw Hill’s Quant Aptitude by Arun Sharma. It will help you prepare for your competitive exams and offers a step-by-step guide to solve quantitative problems.