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IIT JAM Mathematics

Last Updated - December 19, 2016

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!

IIT JAM Mathematics syllabus

The syllabus of IIT JAM Mathematics is provided below. Candidates are advised to go through it and prepare accordingly.

Vector CalculusGradient, 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 CalculusDefinite 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 AlgebraLinear 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 TheoryAbelian 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 AnalysisLimit 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 EquationBernoulli’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 variableContinuity, limit, differentiation, Mean value theorem, Rolle’s Theorem, Maxima and minima, Taylor’s theorem.
Functions of two real variablesContinuity, limit, partial derivatives, maxima, and minima differentiability. Homogeneous functions including Euler’s theorem, Method of Lagrange multipliers.
Sequence and series of real numbersConvergent 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.

IIT JAM Mathematics section weightage

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:

TopicsWeightage of marks
Abstract Algebra10
Linear Algebra14
Real Analysis18
Vector Calculus12
Differential Equations11
Calculus of One variable17
Calculus of Two variables18

IIT JAM Mathematics Cutoff

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.

SubjectSC/ST CategoryOBC CategoryGeneral Category
Mathematics 6.25 11.2512.5


IIT JAM Mathematics Books

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.

Book NameAuthor
Abstract CalculusGallian
Differential CalculusShanti Narayan and Spivak
Real Analysis: Mathematical AnalysisMalik and Arora and Stephen Abbott
Integral Calculus:  Mathematical AnalysisMalik and Arora
Differential EquationsS.L Ross 
Vector CalculusM.J. Strauss, G.L. Bradley and K.J. Smith
Linear AlgebraFriedberg

IIT JAM Mathematics Online Resources

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.


IIT JAM Mathematics preparation tips

Aspirants who are preparing for IIT JAM 2017 are advised to refer the preparation tips mentioned below.

  • It is always advisable to start the preparation for any examination by going through the syllabus first.
  • Mark out the most important topics with the high weightage of marks.
  • Start the preparation as soon as possible and formulate a timetable to follow.
  • Practice each topic with precision without leaving any and focus on the basics of each topic.
  • Candidates must solve mock test papers daily for a clear idea about the pattern of question paper.
  • It will help the students to manage their time which is the key to achieving success in IIT JAM 2017.
  • Take rest to relax the mind and refresh to continue the preparation journey with an alert mind and undivided focus.

IIT JAM Mathematics Topper tips

Here are few remarkable preparation tips followed by the IIT JAM toppers, for all the postulants.

  • Candidates must follow only a few selected books recommended by the toppers and experts to avoid confusion.
  • Clear the concept and practice all the formulae.
  • Solve previous year’s test papers it will increase the speed of the candidate which is very important for this examination.
  • Do not waste your time on questions that you are not sure about, it may kill your time and marks.
  • Keep the month before the commencement of the examination for revision. It is the inevitable part of preparation procedure, quitting this step may yield to adverse effects on the results.
  • Try to use smart tricks instead of complicated formulae for solving questions with lengthy solutions.

IIT JAM Mathematics Practice Papers

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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