“How should I begin JAM preparation 2018 for Mathematics paper?” the question may come into minds of several aspirants of the IIT Bombay administered Joint Admission Test. While JAM aspirants search for answer, Careers360 brings ‘How to prepare for JAM 2018 Mathematics paper’, a guide to help aspirants in qualifying the M.Sc admission test. In this advisory article for JAM Maths preparation, candidates can know the tips and tricks to strategize plan for their IIT Bombay administered online exam. JAM preparation tips 2018 as shared by exam experts and toppers will help aspirants in covering the topic-wise syllabus of Mathematics from the examination view point. Candidates after going through ‘How to prepare for JAM 2018 Maths paper’ will be able to know the non-important topics that can be left out so as to dedicate more time on the exam relevant questions in which more marks can be fetched. JAM 2018 is scheduled to be held on February 11. Read here which topics and questions need to be practiced more while preparing for Mathematics of JAM 2018.
IIT JAM Preparation Tips 2018 for Mathematics: Syllabus
It is quite important for a JAM aspirant to get thoroughly familiar with Mathematics syllabus of the Joint Admission Test. This will help candidates in knowing important topics that need to be covered during JAM 2018 preparation for Maths. The preparation for JAM Maths paper can only be proper and correct if candidates check and list out the syllabus they need to plan for. The JAM syllabus for Maths paper is given below in the table.
IIT JAM Mathematics Syllabus
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
Limit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor's theorem. Maxima and minima.
Functions of Two Real Variables
Limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem
Integration as the inverse process of differentiation, 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 applications. Calculating volumes using triple integrals and applications
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
Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green's, Stokes and Gauss theorems and their applications
Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups (only group theory).
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-Hamilton theorem. Symmetric, skew-symmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.
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
IIT JAM Preparation Tips 2018 for Mathematics: Important Books
As it’s said, ‘Books teach you best’, candidates need to refer the books for JAM preparation 2018. However, the candidates may face the situation to choose the correct book among the hundreds of other plying in the market. Exam experts share that while books can provide abundant information for JAM preparation, yet there might be some information which could be irrelevant from the examination view point. Here they (candidates) can check the recommended books by JAM toppers which may help you in completing your JAM 2018 preparation for Mathematics.
IIT JAM Mathematics Important Books
Functions of One Variable
Mathematical Analysis - S.C. Malik
Functions of Two Real Variables
Mathematical Analysis - H.C. Malik
Ordinary Differential Equations - Earl.A.Coddington
Geometry & Vectors – Vasishtha
Real Analysis – H. L. Royden
IIT JAM Preparation Tips 2018 for Mathematics: Sample Papers
Once JAM 2018 preparation for Maths gets over, what happens next? How to measure the preparation level? Indeed there should be a self-check method to ensure how much preparation is needed more. The self-check mode is practicing through sample papers. Candidates can follow this exercise in two ways, one after completing some specific topics and secondly after completing the entire JAM Maths syllabus. Moreover, unlike other subjects preparing Mathematics for JAM 2018 is all about practising problems and arriving at solutions. Solving the JAM sample papers, previous year question papers and test sets will aid aspirants in understanding the paper pattern better while getting them ready to face similar type of questions in the actual exam.
Candidates can download the JAM sample papers for Mathematics from the table given below.
JAM Question Papers and Answer Keys
Link to download the Paper and Answer Key
IIT JAM Preparation Tips 2018 for Mathematics: Important Guidelines
Prepare a timetable that incorporates study hours, practice tests, relaxation time.
Follow the study timetable diligently.
Tests yourself, analyse, revise and follow this for every topic that within a fixed schedule as per the timetable.
Study smartly with a thorough planned preparation and examination-centric approach.
Complete each practice tests as if it is the actual exam. It’ll ensure a confident approach for the JAM Maths paper.
All the best for IIT JAM 2018!