IIT JAM 2018 NEWS
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IIT JAM Mathematics is conducted for admission to M.Sc., Joint M.Sc.-Ph.D., M.Sc.-Ph.D., Dual Degree, M.Sc.-M.Tech. etc. programmes. The IIT JAM question paper consists of 60 questions, divided amongst 3 sections. Candidates preparing for IIT JAM 2017 must be thorough in Physics, Chemistry and Mathematics. Although each section requires rigorous practice, the same rule stands true for Mathematics as well. This article gives you sufficient insight of the Mathematics section in IIT JAM, and how to master it!
The syllabus of IIT JAM Mathematics is provided below. Candidates are advised to go through it and prepare accordingly.
|Vector Calculus||Gradient, Scalar and vector fields, divergence, Scalar line integrals and vector line integrals, curl and Laplacian, Green’s, Stokes and Gauss theorems and their applications, scalar surface integrals and vector surface integrals.|
|Integral Calculus||Definite integrals and their properties, Integration as the inverse process of differentiation, Double and triple integrals, Fundamental theorem of integral calculus, change of order of integration, Calculating volumes using triple integrals and applications, Calculating surface areas and volumes using double integrals and applications.|
|Linear Algebra||Linear dependence of vectors, Vector spaces, dimension, basis, linear transformations, Range space and null space, matrix representation with respect to an ordered basis, rank-nullity theorem; determinant, Rank and inverse of a matrix, consistency conditions, solutions of systems of linear equations, Eigenvalues and eigenvectors, Symmetric, Cayley-Hamilton theorem, skew-symmetric, skew-hermitian, Hermitian, unitary and orthogonal matrices.|
|Group Theory||Abelian groups, non-abelian groups, subgroups, Group, permutation groups; scyclic groups, Normal subgroups, group homomorphism and basic concepts of quotient groups (only group theory), Lagrange’s Theorem for finite groups.|
|Real Analysis||Limit points, Interior points, closed sets, open sets, compact sets, bounded sets, completeness of R, domain of convergence, term-wise differentiation, and integration of power series, Power series (of real variable) including Taylor’s and Maclaurin’s.|
|Differential Equation||Bernoulli’s equation, Ordinary differential equations of the first order of the form y’=f(x,y), exact differential equations, , Orthogonal trajectories, integrating factor, Homogeneous differential equations-separable solutions, method of variation of parameters, Linear differential equations of second and higher order with constant coefficients, Cauchy-Euler equation.|
|Functions of one variable||Continuity, limit, differentiation, Mean value theorem, Rolle’s Theorem, Maxima and minima, Taylor’s theorem.|
|Functions of two real variables||Continuity, limit, partial derivatives, maxima, and minima differentiability. Homogeneous functions including Euler’s theorem, Method of Lagrange multipliers.|
|Sequence and series of real numbers||Convergent and divergent sequences, Sequences and series of real numbers, bounded and monotone sequences, Leibnitz test for convergence of alternating series, Cauchy sequences, Convergence criteria for sequences of real numbers, absolute and conditional convergence; ratio test, Tests of convergence for series of positive terms – comparison test, root test.|
It is very important for all the candidates to know about the important topics of the IIT JAM 2017 Mathematics syllabus and their weightage. It helps a lot during the preparation and aspirants get a chance to utilize their time, without wasting it on topics of less importance. All the important topics, with the weightage of marks are tabulated below:
|Topics||Weightage of marks|
|Calculus of One variable||17|
|Calculus of Two variables||18|
The category-wise cutoff for IIT JAM 2016 Mathematics is pen downed below for the aspiring candidates. This will give them an idea about the qualifying scores and how they must prepare for IIT JAM.
|Subject||SC/ST Category||OBC Category||General Category|
CHECK IIT JAM 2017 CUTOFF
Here we bring a list of books for IIT JAM 2017 Mathematics paper. These books will guide the candidates to prepare better for this section.
|Differential Calculus||Shanti Narayan and Spivak|
|Real Analysis: Mathematical Analysis||Malik and Arora and Stephen Abbott|
|Integral Calculus: Mathematical Analysis||Malik and Arora|
|Differential Equations||S.L Ross|
|Vector Calculus||M.J. Strauss, G.L. Bradley and K.J. Smith|
Candidates may get help from the below-mentioned IIT JAM 2017 Mathematics preparation resources. There are numerous online study materials, video tutorials, courses, pdf, online mock tests, etc. available for the aspirants. Here we have mentioned few links that will help the candidates to access the preparation material for IIT JAM 2017 easily.
Aspirants who are preparing for IIT JAM 2017 are advised to refer the preparation tips mentioned below.
Here are few remarkable preparation tips followed by the IIT JAM toppers, for all the postulants.
Students are advised to practice the previous year’s question paper daily to get familiar with the paper pattern and learn to manage time.
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